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-
Pasqua D'Ambra +
Pasqua D'Ambra +
IAC-CNR, Naples, Italy +
+
+
+
Daniela di Serafino +
University of Campania ``Luigi Vanvitelli'', Caserta, Italy +
+
+
+
Salvatore Filippone +
Cranfield University, Cranfield, United Kingdom +
+
+
+
+

-ICAR-CNR, Naples, Italy -
Daniela di Serafino
-Second University of Naples, Italy -
Salvatore Filippone
-Cranfield University, United Kingdom


Software version: 2.1
-Feb. 28, 2017 +July 31, 2017
+

- + - +

+

diff --git a/docs/html/node1.html b/docs/html/node1.html index cf182508..d847bde7 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -53,7 +53,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds

Abstract -

+ MLD2P4 (MULTI-LEVEL DOMAIN DECOMPOSITION PARALLEL PRECONDITIONERS PACKAGE BASED ON PSBLAS) is a package of parallel algebraic multi-level preconditioners. @@ -64,31 +64,33 @@ multigrid methods. In the multi-level case, a purely algebraic approach is appli generate coarse-level corrections, so that no geometric background is needed concerning the matrix to be preconditioned. The matrix is assumed to be square, real or complex. - +

-MLD2P4 has been designed to provide scalable and easy-to-use preconditioners +MLD2P4 has been designed to provide scalable and easy-to-use preconditioners in the context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms) computational framework and can be used in conjuction with the Krylov solvers available in this framework. MLD2P4 enables the user to easily specify different features of an algebraic multi-level preconditioner, thus allowing to search for the ``best'' preconditioner for the problem at hand. - +

-The package employs object-oriented design techniques in +The package employs object-oriented design techniques in Fortran 2003, with interfaces to additional third party libraries such as MUMPS, UMFPACK, SuperLU, and SuperLU_Dist, which can be exploited in building multi-level preconditioners. The parallel implementation is based on a Single Program Multiple Data (SPMD) paradigm; the inter-process communication is based on MPI and is managed mainly through PSBLAS. - +

-This guide provides a brief description of the functionalities and +This guide provides a brief description of the functionalities and the user interface of MLD2P4. +

- -

+ + +
diff --git a/docs/html/node10.html b/docs/html/node10.html index a64fde3f..b826184e 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -53,11 +53,11 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Example and test programs -

+ The package contains the examples and tests directories; both of them are further divided into fileread and pdegen subdirectories. Their purpose is as follows: -
+
examples
contains a set of simple example programs with a predefined choice of preconditioners, selectable via integer @@ -70,12 +70,13 @@ both of them are further divided into fileread and subdirectories, to experiment with the full range of preconditioners implemented in the package.
-
+
The fileread directories contain sample programs that read sparse matrices from files, according to the Matrix Market or the Harwell-Boeing storage format; the pdegen programs generate matrices in full parallel mode from the discretization of a sample partial differential equation. +
diff --git a/docs/html/node11.html b/docs/html/node11.html index 1d447e7a..3036675d 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -54,7 +54,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Multigrid Background -

Multigrid preconditioners, coupled with Krylov iterative solvers, are widely used in the parallel solution of large and sparse linear systems, because of their optimality in the solution of linear systems arising from the discretization of scalar elliptic Partial Differential Equations (PDEs) on regular grids. Optimality, also known as algorithmic scalability, is the property of having a computational cost per iteration that depends linearly on the problem size, and a convergence rate that is independent of the problem size. Multigrid preconditioners are based on a recursive application of a two-grid process consisting of smoother iterations and a coarse-space (or coarse-level) correction. The smoothers may be either basic iterative methods, such as the Jacobi and Gauss-Seidel ones, or more complex subspace-correction methods, such as the Schwarz ones. The coarse-space correction consists of solving, in an appropriately chosen coarse space, the residual equation associated with the approximate solution computed by the smoother, and of using the solution of this equation to correct the previous approximation. The transfer of information between the original (fine) space and the coarse one is performed by using suitable restriction and prolongation operators. The construction of the coarse space and the corresponding transfer operators is carried out by applying a so-called coarsening algorithm to the system matrix. Two main approaches can be used to perform coarsening: the geometric approach, which exploits the knowledge of some physical grid associated with the matrix and requires the user to define transfer operators from the fine to the coarse level and vice versa, and the algebraic approach, which builds the coarse-space correction and the associate transfer operators using only matrix information. The first approach may be difficult when the system comes from discretizations on complex geometries; furthermore, ad hoc one-level smoothers may be required to get an efficient interplay between fine and coarse levels, e.g., when matrices with highly varying coefficients are considered. The second approach performs a fully automatic coarsening and enforces the interplay between fine and coarse level by suitably choosing the coarse space and the coarse-to-fine interpolation (see, e.g., [ Multigrid preconditioners, coupled with Krylov iterative solvers, are widely used in the parallel solution of large and sparse linear systems, because of their optimality in the solution of linear systems arising from the discretization of scalar elliptic Partial Differential Equations (PDEs) on regular grids. Optimality, also known as algorithmic scalability, is the property of having a computational cost per iteration that depends linearly on the problem size, and a convergence rate that is independent of the problem size. Multigrid preconditioners are based on a recursive application of a two-grid process consisting of smoother iterations and a coarse-space (or coarse-level) correction. The smoothers may be either basic iterative methods, such as the Jacobi and Gauss-Seidel ones, or more complex subspace-correction methods, such as the Schwarz ones. The coarse-space correction consists of solving, in an appropriately chosen coarse space, the residual equation associated with the approximate solution computed by the smoother, and of using the solution of this equation to correct the previous approximation. The transfer of information between the original (fine) space and the coarse one is performed by using suitable restriction and prolongation operators. The construction of the coarse space and the corresponding transfer operators is carried out by applying a so-called coarsening algorithm to the system matrix. Two main approaches can be used to perform coarsening: the geometric approach, which exploits the knowledge of some physical grid associated with the matrix and requires the user to define transfer operators from the fine to the coarse level and vice versa, and the algebraic approach, which builds the coarse-space correction and the associate transfer operators using only matrix information. The first approach may be difficult when the system comes from discretizations on complex geometries; furthermore, ad hoc one-level smoothers may be required to get an efficient interplay between fine and coarse levels, e.g., when matrices with highly varying coefficients are considered. The second approach performs a fully automatic coarsening and enforces the interplay between fine and coarse level by suitably choosing the coarse space and the coarse-to-fine interpolation (see, e.g., [3,23,21] for details.) MLD2P4 uses a pure algebraic approach, based on the smoothed aggregation algorithm [4,5,7,8]. We note that optimal multigrid preconditioners do not necessarily correspond to minimum execution times in a parallel setting. Indeed, to obtain effective parallel multigrid preconditioners, a tradeoff between the optimality and the cost of building and applying the smoothers and the coarse-space corrections must be achieved. Effective parallel preconditioners require algorithmic scalability to be coupled with implementation scalability, i.e., a computational cost per iteration which remains (almost) constant as the number of parallel processors increases.
+ HREF="node27.html#MLD2P4_TOMS">8]. We note that optimal multigrid preconditioners do not necessarily correspond to minimum execution times in a parallel setting. Indeed, to obtain effective parallel multigrid preconditioners, a tradeoff between the optimality and the cost of building and applying the smoothers and the coarse-space corrections must be achieved. Effective parallel preconditioners require algorithmic scalability to be coupled with implementation scalability, i.e., a computational cost per iteration which remains (almost) constant as the number of parallel processors increases. +
Subsections diff --git a/docs/html/node12.html b/docs/html/node12.html index 07e8c64e..098eaea6 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -53,7 +53,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds


AMG preconditioners -

In order to describe the AMG preconditioners available in MLD2P4, we consider a linear system
+ In order to describe the AMG preconditioners available in MLD2P4, we consider a linear system +
$A=(a_{ij}) \in \mathbb{R}^{n \times n}$ is a nonsingular sparse matrix; for ease of presentation we assume $A$ is real, but the results are valid for the complex case as well. Let us assume as finest index space the set of row (column) indices of $A$, i.e., $\Omega = \{1, 2, \ldots, n\}$. Any algebraic multilevel preconditioners implemented in MLD2P4 generates a hierarchy of index spaces and a corresponding hierarchy of matrices,

+ SRC="img6.png" + ALT="$\Omega = \{1, 2, \ldots, n\}$">. Any algebraic multilevel preconditioners implemented in MLD2P4 generates a hierarchy of index spaces and a corresponding hierarchy of matrices, +

$\mathbb{R}^{n_{k}}$ is associated with $\Omega^k$, where $n_k$ is the size of $\Omega^k$. For all $k < nlev$, a restriction operator and a prolongation one are built, which connect two levels $k$ and $k+1$:

+ SRC="img13.png" + ALT="$k+1$">: +

+ +next + +up + +previous + +contents +
+ Next: Getting Started + Up: Multigrid Background + Previous: Multigrid Background +   Contents + diff --git a/docs/html/node13.html b/docs/html/node13.html index adcce228..2af33d3d 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -54,14 +54,14 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Getting Started -

- +

-We describe the basics for building and applying MLD2P4 one-level and multi-level +We describe the basics for building and applying MLD2P4 one-level and multi-level (i.e., AMG) preconditioners with the Krylov solvers included in PSBLAS [13]. The following steps are required: - + +

  1. Declare the preconditioner data structure. It is a derived data type, mld_xprec_ type, where x may be s, d, c @@ -113,16 +113,16 @@ performed by the routine bld. the routine free. This step is complementary to step 1 and should be performed when the preconditioner is no more used.
    2. -
- +

-All the previous routines are available as methods of the preconditioner object. +All the previous routines are available as methods of the preconditioner object. A detailed description of them is given in Section 6. Examples showing the basic use of MLD2P4 are reported in Section 5.1. - +

+

-
+
Table 1: Preconditioner types, corresponding strings and default choices. @@ -168,25 +168,25 @@ Preconditioner types, corresponding strings and default choices.

-
- +

-Note that the module mld_prec_mod, containing the definition of the +Note that the module mld_prec_mod, containing the definition of the preconditioner data type and the interfaces to the routines of MLD2P4, must be used in any program calling such routines. The modules psb_base_mod, for the sparse matrix and communication descriptor data types, and psb_krylov_mod, for interfacing with the Krylov solvers, must be also used (see Section 5.1). -
+

-Remark 1. Coarsest-level solvers based on the LU factorization, +Remark 1. Coarsest-level solvers based on the LU factorization, such as those implemented in UMFPACK, MUMPS, SuperLU, and SuperLU_Dist, usually lead to smaller numbers of preconditioned Krylov iterations than inexact solvers, when the linear system comes from a standard discretization of basic scalar elliptic PDE problems. However, this does not necessarily correspond to the smallest execution time -on parallel computers. +on parallel computers.

+

Subsections diff --git a/docs/html/node14.html b/docs/html/node14.html index f4a10e62..a5607641 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -53,10 +53,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Examples -

- +

-The code reported in Figure 2 shows how to set and apply the default +The code reported in Figure 2 shows how to set and apply the default multi-level preconditioner available in the real double precision version of MLD2P4 (see Table 1). This preconditioner is chosen by simply specifying 'ML' as the second argument of P%init @@ -65,9 +64,9 @@ solver provided by PSBLAS (the matrix of the system to be solved is assumed to be positive definite). As previously observed, the modules psb_base_mod, mld_prec_mod and psb_krylov_mod must be used by the example program. - +

-The part of the code concerning the +The part of the code concerning the reading and assembling of the sparse matrix and the right-hand side vector, performed through the PSBLAS routines for sparse matrix and vector management, is not reported here for brevity; the statements concerning the deallocation of the PSBLAS @@ -79,17 +78,17 @@ input data is available in examples/fileread/runs. For details on the use of the PSBLAS routines, see the PSBLAS User's Guide [13]. - +

-The setup and application of the default multi-level preconditioner +The setup and application of the default multi-level preconditioner for the real single precision and the complex, single and double precision, versions are obtained with straightforward modifications of the previous example (see Section 6 for details). If these versions are installed, the corresponding codes are available in examples/fileread/. - +

- -

+ +
Figure 2: setup and application of the default multi-level preconditioner (example 1). @@ -158,9 +157,9 @@ setup and application of the default multi-level preconditioner (example 1).
- +

-Different versions of the multi-level preconditioner can be obtained by changing +Different versions of the multi-level preconditioner can be obtained by changing the default values of the preconditioner parameters. The code reported in Figure 3 shows how to set a V-cycle preconditioner which applies 1 block-Jacobi sweep as pre- and post-smoother, @@ -179,23 +178,23 @@ matrix is distributed, since MUMPS can be used on both replicated and distributed matrices, and by default it is used on replicated ones. The code fragments shown in Figures 3 and 4 are included in the example program file mld_dexample_ml.f90 too. - +

-Finally, Figure 5 shows the setup of a one-level +Finally, Figure 5 shows the setup of a one-level additive Schwarz preconditioner, i.e., RAS with overlap 2. Note also that a Krylov method different from CG must be used to solve the preconditioned system, since the preconditione in nonsymmetric. The corresponding example program is available in the file mld_dexample_1lev.f90. - +

-For all the previous preconditioners, example programs where the sparse matrix and +For all the previous preconditioners, example programs where the sparse matrix and the right-hand side are generated by discretizing a PDE with Dirichlet boundary conditions are also available in the directory examples/pdegen. - +

- -

+ +
@@ -225,10 +224,10 @@ setup of a multi-level preconditioner
Figure 3: setup of a multi-level preconditioner
- +

- -

+ +
@@ -258,10 +257,10 @@ setup of a multi-level preconditioner
Figure 4: setup of a multi-level preconditioner
- +

- -

+ +
@@ -286,9 +285,9 @@ setup of a one-level Schwarz preconditioner.
Figure 5: setup of a one-level Schwarz preconditioner.
- +

-

+
diff --git a/docs/html/node15.html b/docs/html/node15.html index 4b2064b8..a364c90b 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -54,10 +54,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds


User Interface -

- +

-The basic user interface of MLD2P4 consists of eight routines. The six +The basic user interface of MLD2P4 consists of eight routines. The six routines init, set, hierarchy_build, smoothers_build, bld, and apply encapsulate all the @@ -65,14 +64,14 @@ functionalities for the setup and the application of any multi-level and one-lev preconditioner implemented in the package. The routine free deallocates the preconditioner data structure, while descr prints a description of the preconditioner setup by the user. - +

-All the routines are available as methods of the preconditioner object. +All the routines are available as methods of the preconditioner object. For each routine, the same user interface is overloaded with respect to the real/ complex case and the single/double precision; arguments with appropriate data types must be passed to the routine, i.e., - +

  • the sparse matrix data structure, containing the matrix to be preconditioned, must be of type psb_xspmat_type @@ -87,14 +86,14 @@ i.e.,
  • the arrays containing the vectors $v$ and $w$ involved in the preconditioner application $w=B^{-1}v$ must be of type psb_xvect_type with x = s, d, c, z, in a manner completely @@ -104,12 +103,13 @@ i.e., according to the precision of the sparse matrix and preconditioner data structures (see Section 6.2).
    • -
+ A description of each routine is given in the remainder of this section. - +

- +

+

Subsections diff --git a/docs/html/node16.html b/docs/html/node16.html index cd013670..ec06f471 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -54,56 +54,78 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine init -

- +

-

-call p%init(ptype,info) - -
- + +
call p%init(ptype,info) +

+ This routine allocates and initializes the preconditioner p, according to the preconditioner type chosen by the user. - +

-Arguments +Arguments

- +

- - - +
ptypecharacter(len=*), intent(in).
+ + - - + + - - + + - - + + - - + + -
ptype character(len=*), intent(in).
 The type of preconditioner. Its values are specified - in Table 1.
+ The type of preconditioner. Its values are specified + in Table 1.
 Note that the strings are case insensitive.
+ Note that the strings are case insensitive.
infointeger, intent(out).
+info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precinit(p,ptype,info) - -
- + +
call mld_precinit(p,ptype,info) +

- +

-

+
+ + +next + +up + +previous + +contents +
+ Next: Subroutine set + Up: User Interface + Previous: User Interface +   Contents + diff --git a/docs/html/node17.html b/docs/html/node17.html index e9e165b5..1e8d5699 100644 --- a/docs/html/node17.html +++ b/docs/html/node17.html @@ -54,107 +54,115 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine set -

- +

-

-call p%set(what,val,info [,ilev, ilmax, pos]) - -
- + +
call p%set(what,val,info [,ilev, ilmax, pos]) +

+ This routine sets the parameters defining the preconditioner p. More precisely, the parameter identified by what is assigned the value contained in val. - +

-Arguments +Arguments

- +

- - - +
whatcharacter(len=*).
+ + - - + + Tables 2-8. - - + + intent(in). - - + + it is also treated as case insensitive. - - + + - - + + - - + + - - + + Tables 2-8). - - + + - - + + order starting from the finest one, i.e., level 1 is the finest level. - - + + - - + + does not concern the smoothers, pos is ignored. + -
what character(len=*).
 The parameter to be set. It can be specified through its name; +
+ The parameter to be set. It can be specified through its name; the string is case-insensitive. See - Tables 2-8.
val integer or character(len=*) or +
+val integer or character(len=*) or real(psb_spk_) or real(psb_dpk_), - intent(in).
 The value of the parameter to be set. The list of allowed +
+ The value of the parameter to be set. The list of allowed values and the corresponding data types is given in Tables 2-8. When the value is of type character(len=*), - it is also treated as case insensitive.
infointeger, intent(out).
+info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 - for details.
+ Error code. If no error, 0 is returned. See Section 8 + for details.
ilevinteger, optional, intent(in).
+ilev integer, optional, intent(in).
 For the multi-level preconditioner, the level at which the +
+ For the multi-level preconditioner, the level at which the preconditioner parameter has to be set. The levels are numbered in increasing order starting from the finest one, i.e., level 1 is the finest level. If ilev is not present, the parameter identified by what is set at all the appropriate levels (see - Tables 2-8).
ilmaxinteger, optional, intent(in).
+ilmax integer, optional, intent(in).
 For the multi-level preconditioner, when both +
+ For the multi-level preconditioner, when both ilev and ilmax are present, the settings are applied at all levels ilev:ilmax. When ilev is present but ilmax is not, then the default is ilmax=ilev. The levels are numbered in increasing - order starting from the finest one, i.e., level 1 is the finest level.
poscharater(len=*), optional, intent(in).
+pos charater(len=*), optional, intent(in).
 Whether the other arguments apply only to the pre-smoother ('PRE') +
+ Whether the other arguments apply only to the pre-smoother ('PRE') or to the post-smoother ('POST'). If pos is not present, the other arguments are applied to both smoothers. If the preconditioner is one-level or the parameter identified by what - does not concern the smoothers, pos is ignored.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precset(p,what,val,info) - -
- + +
call mld_precset(p,what,val,info) +

+ However, in this case the optional arguments ilev, ilmax, and pos cannot be used. -
+

-A variety of preconditioners can be obtained +A variety of preconditioners can be obtained by a suitable setting of the preconditioner parameters. These parameters can be logically divided into four groups, i.e., parameters defining - +

  1. the type of multi-level cycle and how many cycles must be applied;
    2. @@ -168,14 +176,14 @@ can be logically divided into four groups, i.e., parameters defining

    -

+ A list of the parameters that can be set, along with their allowed and default values, is given in Tables 2-8. For a description of the meaning of the parameters, please refer also to Section 4. -
+

-Remark 2. A smoother is usually obtained by combining two objects: +Remark 2. A smoother is usually obtained by combining two objects: a smoother (SMOOTHER_TYPE) and a local solver (SUB_SOLVE), as specified in Tables 7-8. For example, the block-Jacobi smoother using @@ -191,9 +199,9 @@ hybrid backward Gauss-Seidel, i.e., the previous smoothers can be defined by setting only SMOOTHER_TYPE to appropriate values (see Tables 7), i.e., without setting SUB_SOLVE too. - +

-The smoother and solver objects are arranged in a +The smoother and solver objects are arranged in a hierarchical manner. When specifying a smoother object, its parameters, including the local solver, are set to their default values, and when a solver object is specified, its defaults are also set, overriding in both @@ -201,20 +209,20 @@ cases any previous settings even if explicitly specified. Therefore if the user sets a smoother, and wishes to use a solver different from the default one, the call to set the solver must come after the call to set the smoother. - +

-Similar considerations apply to the point-Jacobi, Gauss-Seidel and block-Jacobi +Similar considerations apply to the point-Jacobi, Gauss-Seidel and block-Jacobi coarsest-level solvers, and shortcuts are available in this case too (see Table 5). -
+

-Remark 3. In general, a coarsest-level solver cannot be used with +Remark 3. In general, a coarsest-level solver cannot be used with both the replicated and distributed coarsest-matrix layout; therefore, setting the solver after the layout may change the layout. Similarly, setting the layout after the solver may change the solver. - +

-More precisely, UMFPACK and SuperLU require the coarsest-level +More precisely, UMFPACK and SuperLU require the coarsest-level matrix to be replicated, while SuperLU_Dist requires it to be distributed. In these cases, setting the coarsest-level solver implies that the layout is redefined according to the solver, ovverriding any @@ -228,19 +236,20 @@ reduce to the corresponding local solver objects (see Remark 2). For the point-Jacobi and Gauss-Seidel solvers, these objects correspond to a single point-Jacobi sweep and a single Gauss-Seidel sweep, respectively, which are very poor solvers. - +

-On the other hand, the distributed layout can be used with any solver +On the other hand, the distributed layout can be used with any solver but UMFPACK and SuperLU; therefore, if any of these two solvers has already been selected, the coarsest-level solver is changed to block-Jacobi, with the previously chosen solver applied to the local blocks. Likewise, the replicated layout can be used with any solver but SuperLu_Dist; therefore, if SuperLu_Dist has been previously set, the coarsest-level solver is changed to the default sequential solver. - +

+

-
+
@@ -289,11 +298,11 @@ number
Table 2: Parameters defining the multi-level cycle and the number of cycles to @@ -279,7 +288,7 @@ Note that hybrid Multiplicative Schwarz is equivalent to V-cycle and

number $\ge 1$

1 Number of multi-level cycles.

-
- +

+

-
+
@@ -404,11 +413,11 @@ of levels.
Table 3: Parameters defining the aggregation algorithm. @@ -313,17 +322,17 @@ Parameters defining the aggregation algorithm.

$> 0$

$\lfloor 40 \sqrt[3]{n} \rfloor$, where $n$ is the dimension of the matrix at the finest level Coarse size threshold. The aggregation stops @@ -338,7 +347,7 @@ Parameters defining the aggregation algorithm.

$> 1$

 1.5 Minimum coarsening ratio. The aggregation stops @@ -352,7 +361,7 @@ Parameters defining the aggregation algorithm.

number $> 1$

 20 Maximum number of levels. The aggregation stops @@ -370,7 +379,7 @@ Currently, only the aggregation to the sparsity pattern of $A+A^T$.
'AGGR_TYPE'

-
- +

+

-
+
@@ -471,11 +480,11 @@ the parameter ilev.
Table 4: Parameters defining the aggregation algorithm (continued). @@ -439,12 +448,12 @@ Parameters defining the aggregation algorithm (continued).

number $\in [0, 1]$

0.05 The threshold $\theta$ in the aggregation algorithm, see (3) in Section 4.2. See also the note at the bottom of this table.

-
- +

+

-
+
Table 5: Parameters defining the coarse-space correction at the coarsest @@ -550,14 +559,14 @@ Note that UMF and SLU require the coarsest in case the block Jacobi solver is chosen as coarsest-level solver: ILU($p$), ILU($p,t$), MILU($p$), LU from MUMPS, SuperLU or UMFPACK (plus triangular solve). Note that UMFPACK and SuperLU_Dist @@ -579,11 +588,11 @@ Note that UMF and SLU require the coarsest

-
- +

+

-
+

number $> 0$

@@ -629,15 +638,15 @@ number number $\ge 0$
Table 6: Parameters defining the coarse-space correction at the coarsest @@ -603,7 +612,7 @@ level (continued).
10 Number of sweeps when JACOBI, GS or BJAC @@ -615,12 +624,12 @@ number number $\ge 0$ 0 Fill-in level $p$ of the ILU factorizations.
'COARSE_ILUTHRS' 0 Drop tolerance $t$ in the ILU($p,t$) factorization.
@@ -645,11 +654,11 @@ number

-
- +

+

-
+
Table 7: Parameters defining the smoother or the details of the one-level preconditioner. @@ -720,13 +729,13 @@ Parameters defining the smoother or the details of the one-level preconditioner. hybrid (forward) Gauss-Seidel, hybrid backward Gauss-Seidel, ILU($p$), ILU($p,t$), MILU($p$), LU from MUMPS, SuperLU or UMFPACK (plus triangular solve). See Note for details on hybrid @@ -739,7 +748,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.

number $\ge 0$

1 @@ -757,7 +766,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.

number $\ge 0$

1 @@ -768,11 +777,11 @@ Parameters defining the smoother or the details of the one-level preconditioner.

-
- +

+

-
+
@@ -842,17 +851,17 @@ Parameters defining the smoother or the details of the one-level preconditioner @@ -865,12 +874,11 @@ Parameters defining the smoother or the details of the one-level preconditioner
Table 8: Parameters defining the smoother or the details of the one-level preconditioner @@ -827,14 +836,14 @@ Parameters defining the smoother or the details of the one-level preconditioner

number $\ge 0$

0 Fill-in level $p$ of the incomplete LU factorizations.
'SUB_ILUTHRS' Any real number $\ge 0$ 0 Drop tolerance $t$ in the ILU($p,t$) factorization.

-
- +

- +

-

+
diff --git a/docs/html/node18.html b/docs/html/node18.html index 40c43f7b..6f5ede9d 100644 --- a/docs/html/node18.html +++ b/docs/html/node18.html @@ -54,68 +54,69 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine build -

- +

-

-call p%build(a,desc_a,info) -
-
- + +
call p%build(a,desc_a,info) +

+ This routine builds the one-level preconditioner p according to the requirements made by the user through the routines init and set (see Sections 6.4 and 6.5 for multi-level preconditioners). - +

-Arguments +Arguments

- +

- - - +
atype(psb_xspmat_type), intent(in).
+ + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + -
+a type(psb_xspmat_type), intent(in).
 The sparse matrix structure containing the local part of the +
+ The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that x must be chosen according to the real/complex, single/double precision version of MLD2P4 under use. See the PSBLAS User's Guide for details [13].
desc_atype(psb_desc_type), intent(in).
+desc_a type(psb_desc_type), intent(in).
 The communication descriptor of a. See the PSBLAS User's Guide for +
+ The communication descriptor of a. See the PSBLAS User's Guide for details [13].
infointeger, intent(out).
info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precbld(p,what,val,info) - -
- + +
call mld_precbld(p,what,val,info) +

+ In this case, the routine can be used to build multi-level preconditioners too. - +

- +

-

+
diff --git a/docs/html/node19.html b/docs/html/node19.html index ddbe0206..e3c84247 100644 --- a/docs/html/node19.html +++ b/docs/html/node19.html @@ -54,56 +54,81 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine hierarchy_build -

- +

-

-call p%hierarchy_build(a,desc_a,info) -
-
- + +
call p%hierarchy_build(a,desc_a,info) +

+ This routine builds the hierarchy of matrices and restriction/prolongation operators for the multi-level preconditioner p, according to the requirements made by the user through the routines init and set. - +

-Arguments +Arguments

- +

- - - +
atype(psb_xspmat_type), intent(in).
+ + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + -
+a type(psb_xspmat_type), intent(in).
 The sparse matrix structure containing the local part of the +
+ The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that x must be chosen according to the real/complex, single/double precision version of MLD2P4 under use. See the PSBLAS User's Guide for details [13].
desc_atype(psb_desc_type), intent(in).
+desc_a type(psb_desc_type), intent(in).
 The communication descriptor of a. See the PSBLAS User's Guide for +
+ The communication descriptor of a. See the PSBLAS User's Guide for details [13].
infointeger, intent(out).
info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
- +

- +

-

+
+ + +next + +up + +previous + +contents +
+ Next: Subroutine smoothers_build + Up: User Interface + Previous: Subroutine build +   Contents + diff --git a/docs/html/node2.html b/docs/html/node2.html index 1a55c9ad..e4e87b11 100644 --- a/docs/html/node2.html +++ b/docs/html/node2.html @@ -117,12 +117,13 @@ Contents HREF="node27.html">Bibliography - +

- + - +

+

diff --git a/docs/html/node20.html b/docs/html/node20.html index 240b44c6..44b84b49 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -54,56 +54,80 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine smoothers_build -

- +

-

-call p%smoothers_build(a,desc_a,p,info) -
-
- + +
call p%smoothers_build(a,desc_a,p,info) +

+ This routine builds the smoothers and the coarsest-level solvers for the multi-level preconditioner p, according to the requirements made by the user through the routines init and set, and based on the aggregation hierarchy produced by a previous call to hierarchy_build (see Section 6.4). - +

-Arguments +Arguments

- +

- - - +
atype(psb_xspmat_type), intent(in).
+ + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + HREF="node27.html#PSBLASGUIDE">13]. - - + + - - + + -
+a type(psb_xspmat_type), intent(in).
 The sparse matrix structure containing the local part of the +
+ The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that x must be chosen according to the real/complex, single/double precision version of MLD2P4 under use. See the PSBLAS User's Guide for details [13].
desc_atype(psb_desc_type), intent(in).
+desc_a type(psb_desc_type), intent(in).
 The communication descriptor of a. See the PSBLAS User's Guide for +
+ The communication descriptor of a. See the PSBLAS User's Guide for details [13].
infointeger, intent(out).
info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
- +

- -

+
+ + +next + +up + +previous + +contents +
+ Next: Subroutine apply + Up: User Interface + Previous: Subroutine hierarchy_build +   Contents + diff --git a/docs/html/node21.html b/docs/html/node21.html index f495f0d6..7ba18a33 100644 --- a/docs/html/node21.html +++ b/docs/html/node21.html @@ -54,134 +54,140 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine apply -

- +

-

-call p%apply(x,y,desc_a,info [,trans,work]) -
-
- + +
call p%apply(x,y,desc_a,info [,trans,work]) +

+ This routine computes $y = op(B^{-1}) x$, where $B$ is a previously built preconditioner, stored into p, and $op$ denotes the preconditioner itself or its transpose, according to the value of trans. Note that, when MLD2P4 is used with a Krylov solver from PSBLAS, p%apply is called within the PSBLAS routine psb_krylov and hence it is completely transparent to the user. - +

-Arguments +Arguments

- +

- - - +
xtype(kind_parameter), dimension(:), intent(in).
+ + - - + + to the real/complex, single/double precision version of MLD2P4 under use. - - + + - - + + to the real/complex, single/double precision version of MLD2P4 under use. - - + + - - + + - - + + - - + + - - + + - - + SRC="img37.png" + ALT="$B^{-1})$">. - - + + - - + + to the real/complex, single/double precision version of MLD2P4 under use. -
x type(kind_parameter), dimension(:), intent(in).
 The local part of the vector + The local part of the vector $x$. Note that type and kind_parameter must be chosen according - to the real/complex, single/double precision version of MLD2P4 under use.
ytype(kind_parameter), dimension(:), intent(out).
+y type(kind_parameter), dimension(:), intent(out).
 The local part of the vector + The local part of the vector $y$. Note that type and kind_parameter must be chosen according - to the real/complex, single/double precision version of MLD2P4 under use.
desc_atype(psb_desc_type), intent(in).
+desc_a type(psb_desc_type), intent(in).
 The communication descriptor associated to the matrix to be - preconditioned.
+ The communication descriptor associated to the matrix to be + preconditioned.
infointeger, intent(out).
+info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
transcharacter(len=1), optional, intent(in).
+trans character(len=1), optional, intent(in).
 If trans = 'N','n' then $op(B^{-1}) = B^{-1}$; if trans = 'T','t' then $op(B^{-1}) = B^{-T}$ (transpose of $B^{-1})$; if trans = 'C','c' then $op(B^{-1}) = B^{-C}$ (conjugate transpose of $B^{-1})$.
worktype(kind_parameter), dimension(:), optional, target.
+work type(kind_parameter), dimension(:), optional, target.
 Workspace. Its size should be at +
+ Workspace. Its size should be at least 4 * psb_cd_get_local_ cols(desc_a) (see the PSBLAS User's Guide). Note that type and kind_parameter must be chosen according - to the real/complex, single/double precision version of MLD2P4 under use.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precaply(p,what,val,info) - -
- + +
call mld_precaply(p,what,val,info) +

- +

-

+
diff --git a/docs/html/node22.html b/docs/html/node22.html index ff93d7a4..0335eb66 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -54,44 +54,41 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine free -

- +

-

-call p%free(p,info) -
-
- + +
call p%free(p,info) +

+ This routine deallocates the preconditioner data structure p. - +

-Arguments +Arguments

- +

- - - +
infointeger, intent(out).
+ + - - + + -
info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precfree(p,info) - -
- + +
call mld_precfree(p,info) +

- +

+

diff --git a/docs/html/node23.html b/docs/html/node23.html index 65bb2bb6..1c982ca1 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -53,56 +53,77 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Subroutine descr -

- +

-

-call p%descr(info, [iout]) -
-
- + +
call p%descr(info, [iout]) +

+ This routine prints a description of the preconditioner p to the standard output or to a file. It must be called after hierachy_build and smoothers_build, or build, have been called. - +

-Arguments +Arguments

- +

- - - +
infointeger, intent(out).
+ + - - + + - - + + - - + + -
info integer, intent(out).
 Error code. If no error, 0 is returned. See Section 8 for details.
+ Error code. If no error, 0 is returned. See Section 8 for details.
ioutinteger, intent(in), optional.
+iout integer, intent(in), optional.
 The id of the file where the preconditioner description - will be printed; the default is the standard output.
+ The id of the file where the preconditioner description + will be printed; the default is the standard output.
- +

-For compatibility with the previous versions of MLD2P4, this routine can be also invoked +For compatibility with the previous versions of MLD2P4, this routine can be also invoked as follows: - +

-

-call mld_precdescr(p,info [,iout]) - -
- + +
call mld_precdescr(p,info [,iout]) +

- +

- +

-

+
+ + +next + +up + +previous + +contents +
+ Next: Adding new smoother and + Up: User Interface + Previous: Subroutine free +   Contents + diff --git a/docs/html/node24.html b/docs/html/node24.html index 159f64b0..cc56ac92 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -54,15 +54,14 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Adding new smoother and solver objects to MLD2P4 -

- +

-Developers can add completely new smoother and/or solver classes +Developers can add completely new smoother and/or solver classes derived from the base objects in the library (see Remark 2 in Section 6.2), without recompiling the library itself. - +

-To do so, it is necessary first to select the base type to be extended. +To do so, it is necessary first to select the base type to be extended. In our experience, it is quite likely that the new application needs only the definition of a ``solver'' object, which is almost always acting only on the local part of the distributed matrix. @@ -71,11 +70,11 @@ are most often already provided by the block-Jacobi or the additive Schwarz smoothers. To define a new solver, the developer will then have to define its components and methods, perhaps taking one of the predefined solvers as a starting point, if possible. - +

-Once the new smoother/solver class has been developed, to use it in +Once the new smoother/solver class has been developed, to use it in the context of the multilevel preconditioners it is necessary to: - +

  • declare in the application program a variable of the new type;
    • @@ -89,21 +88,21 @@ following:
  • link the code implementing the various methods into the application executable.
    • -
+ The new solver object is then dynamically included in the preconditioner structure, and acts as a mold to which the preconditioner will conform, even though the MLD2P4 library has not been modified to account for this new development. - +

-It is possible to define new values for the keyword WHAT in the +It is possible to define new values for the keyword WHAT in the set routine; if the library code does not recognize a keyword, it passes it down the composition hierarchy (levels containing smoothers containing in turn solvers), so that it can be eventually caught by the new solver. - +

-An example is provided in the source code distribution under the +An example is provided in the source code distribution under the folder tests/newslv. In this example we are implementing a new incomplete factorization variant (which is simply the ILU(0) factorization under a new name). Because of the specifics of this case, it is @@ -111,32 +110,36 @@ possible to reuse the basic structure of the ILU solver, with its L/D/U components and the methods needed to apply the solver; only a few methods, such as the description and most importantly the build, need to be ovverridden (rewritten). - +

-The interfaces for the calls shown above are defined using -

- - - +The interfaces for the calls shown above are defined using + +
smootherclass(mld_x_base_smoother_type)
+ + - - + + - - + + - - + + -
+smoother class(mld_x_base_smoother_type)
 The user-defined new smoother to be employed in the - preconditioner.
+ The user-defined new smoother to be employed in the + preconditioner.
solverclass(mld_x_base_solver_type)
+solver class(mld_x_base_solver_type)
 The user-defined new solver to be employed in the - preconditioner.
+ The user-defined new solver to be employed in the + preconditioner. +
-
+
The other arguments are defined in the way described in Sec. 6.2. As an example, in the tests/newslv code we define a new object of type mld_d_tlu_solver_type, and we pass it as follows: -
+
   ! sparse matrix and preconditioner
   type(psb_dspmat_type) :: a
   type(mld_dprec_type)  :: prec
@@ -152,8 +155,8 @@ we pass it as follows:
   nlv = prec%get_nlevs()
   call prec%set(tlusv,   info,ilev=1,ilmax=max(1,nlv-1))
   call prec%smoothers_build(a,desc_a,info)
-

-

+
+
diff --git a/docs/html/node25.html b/docs/html/node25.html index d905a8ea..c88593b1 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -54,10 +54,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Error Handling -

- +

-The error handling in MLD2P4 is based on the PSBLAS (version 2) error +The error handling in MLD2P4 is based on the PSBLAS (version 2) error handling. Error conditions are signaled via an integer argument info; whenever an error condition is detected, an error trace stack is built by the library up to the top-level, user-callable @@ -69,9 +68,10 @@ an error message should be printed. These options may be set by using the PSBLAS error handling routines; for further details see the PSBLAS User's Guide [13]. - +

- + +

diff --git a/docs/html/node26.html b/docs/html/node26.html index 0730f26e..fa875782 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -54,11 +54,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds


License -

- +

-The MLD2P4 is freely distributable under the following copyright -terms: 

 
+The MLD2P4 is freely distributable under the following copyright
+terms: 
 
 
  
                            MLD2P4  version 2.1
@@ -96,8 +95,9 @@ terms: 
   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   POSSIBILITY OF SUCH DAMAGE.
-

+

 
+
 

 
 
diff --git a/docs/html/node27.html b/docs/html/node27.html
index f4287919..c6176e3f 100644
--- a/docs/html/node27.html
+++ b/docs/html/node27.html
@@ -49,7 +49,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node2.html">Contents 
 


 
- 
+ 
 

 Bibliography
 

@@ -170,10 +170,10 @@ P. Vanek, J. Mandel, M. Brezina,
 Computing, 56 (3) 1996, 179-196.
 
 

-

-
+
+
 

-

+

 
 
 
diff --git a/docs/html/node28.html b/docs/html/node28.html
index df156545..71f542e2 100644
--- a/docs/html/node28.html
+++ b/docs/html/node28.html
@@ -47,8 +47,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 

 About this document ...
-

- 

+
+ 

 This document was generated using the
 LaTeX2HTML translator Version 2012 (1.2)
 

@@ -63,7 +63,7 @@ Mathematics Department, Macquarie University, Sydney.
 The command line arguments were: 

  latex2html -local_icons -noaddress -dir ../../html userhtml.tex
 

-The translation was initiated by Salvatore Filippone on 2017-07-20
+The translation was initiated by Salvatore Filippone on 2017-07-24
 

 
 
diff --git a/docs/html/node3.html b/docs/html/node3.html
index 3fdf3b30..5e5e3daf 100644
--- a/docs/html/node3.html
+++ b/docs/html/node3.html
@@ -54,16 +54,16 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 

 

 General Overview
-

-
+
 

-The MULTI-LEVEL DOMAIN DECOMPOSITION PARALLEL PRECONDITIONERS PACKAGE BASED ON
+The MULTI-LEVEL DOMAIN DECOMPOSITION PARALLEL PRECONDITIONERS PACKAGE BASED ON
 PSBLAS (MLD2P4) provides parallel Algebraic MultiGrid (AMG) and Domain 
 Decomposition preconditioners (see, e.g., [3,23,21]),
 to be used in the iterative solution of  linear systems,
+
 

 

 
@@ -75,24 +75,24 @@ Ax=b,
 

 
\begin{displaymath}
 Ax=b,
 \end{displaymath}
 
 (1)

 

-

+

where $A$ is a square, real or complex, sparse matrix. The name of the package comes from its original implementation, containing multi-level additive and hybrid Schwarz preconditioners, as well as one-level additive Schwarz preconditioners. The current version extends the original plan by including multi-level cycles and smoothers widely used in multigrid methods. - +

-The multi-level preconditioners implemented in MLD2P4 are obtained by combining +The multi-level preconditioners implemented in MLD2P4 are obtained by combining AMG cycles with smoothers and coarsest-level solvers. The V-, W-, and K-cycles [3,

-MLD2P4 is written in Fortran 2003, following an +MLD2P4 is written in Fortran 2003, following an object-oriented design through the exploitation of features such as abstract data type creation, type extension, functional overloading, and dynamic memory management. The parallel implementation is based on a Single Program Multiple Data @@ -121,9 +121,9 @@ dynamic memory management. The parallel implementation is based on a Single Prog double precision implementations of MLD2P4 are available for both the real and the complex case, which can be used through a single interface. - +

-MLD2P4 has been designed to implement scalable and easy-to-use +MLD2P4 has been designed to implement scalable and easy-to-use multilevel preconditioners in the context of the PSBLAS (Parallel Sparse BLAS) computational framework [15,

-MLD2P4 has a layered and modular software architecture where three main layers can be +MLD2P4 has a layered and modular software architecture where three main layers can be identified. The lower layer consists of the PSBLAS kernels, the middle one implements the construction and application phases of the preconditioners, and the upper one provides a uniform interface to all the preconditioners. @@ -151,18 +151,18 @@ build and apply any preconditioner available in MLD2P4; facilities are also available allowing expert users to extend the set of smoothers and solvers for building new versions of the preconditioners (see Section 7). - +

-We note that the user interface of MLD2P4 2.1 has been extended with respect to the +We note that the user interface of MLD2P4 2.1 has been extended with respect to the previous versions in order to separate the construction of the multi-level hierarchy from the construction of the smoothers and solvers, and to allow for more flexibility at each level. The software architecture described in [8] has significantly evolved too, in order to fully exploit the Fortran 2003 features implemented in PSBLAS 3. However, compatibility with previous versions has been preserved. - +

-This guide is organized as follows. General information on the distribution of the source +This guide is organized as follows. General information on the distribution of the source code is reported in Section 2, while details on the configuration and installation of the package are given in Section 3. A short description of the preconditioners implemented in MLD2P4 is provided in Section 4, @@ -175,9 +175,9 @@ through the addition of new smoothers and solvers is reported in Section 8. The copyright terms concerning the distribution and modification of MLD2P4 are reported in Appendix A. - +

-

+
diff --git a/docs/html/node4.html b/docs/html/node4.html index 8acd49b6..5b865be9 100644 --- a/docs/html/node4.html +++ b/docs/html/node4.html @@ -54,26 +54,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Code Distribution -

- +

+ MLD2P4 is available from the web site -

-http://www.mld2p4.it - -
+ +
http://www.mld2p4.it +
where contact points for further information can be also found. - +

-The software is available under a modified BSD license, as specified +The software is available under a modified BSD license, as specified in Appendix A; please note that some of the optional third party libraries may be licensed under a different and more stringent license, most notably the GPL, and this should be taken into account when treating derived works. - +

-The library defines a version string with the +The library defines a version string with the constant +

Subsections diff --git a/docs/html/node6.html b/docs/html/node6.html index a0a3bf37..8201d48f 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -54,11 +54,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Prerequisites -

- +

-The following base libraries are needed: -

+The following base libraries are needed: +
BLAS
[11, -
+
Please note that the four previous libraries must have Fortran interfaces compatible with MLD2P4; usually this means that they should all be built with the same compiler as MLD2P4. - +

-

+
 diff --git a/docs/html/node7.html b/docs/html/node7.html index 138a2857..1b918e26 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -54,15 +54,14 @@ original version by: Nikos Drakos, CBLU, University of Leeds


Optional third party libraries -

- +

-We provide interfaces to the following third-party software libraries; +We provide interfaces to the following third-party software libraries; note that these are optional, but if you enable them some defaults for multi-level preconditioners may change to reflect their presence. - +

-

+
UMFPACK
[9] @@ -108,10 +107,9 @@ for multi-level preconditioners may change to reflect their presence. glaros.dtc.umn.edu/gkhome/metis/parmetis/overview.
-
- +

-

+
diff --git a/docs/html/node8.html b/docs/html/node8.html index 636235de..788b5598 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -53,24 +53,23 @@ original version by: Nikos Drakos, CBLU, University of Leeds

Configuration options -

- +

-In order to build MLD2P4, the first step is to use the configure script +In order to build MLD2P4, the first step is to use the configure script in the main directory to generate the necessary makefile. - +

-As a minimal example consider the following: -

+As a minimal example consider the following:
+
 ./configure --with-psblas=PSB-INSTALL-DIR
-

+
which assumes that the various MPI compilers and support libraries are available in the standard directories on the system, and specifies only the PSBLAS install directory (note that the latter directory must be specified with an absolute path). The full set of options may be looked at by issuing the command ./configure --help, which produces: -
+
 `configure' configures MLD2P4 2.1 to adapt to many kinds of systems.
 
 Usage: ./configure [OPTION]... [VAR=VALUE]...
@@ -227,40 +226,39 @@ Use these variables to override the choices made by `configure' or to help
 it to find libraries and programs with nonstandard names/locations.
 
 Report bugs to <bugreport@mld2p4.it>.
-

-
+

-For instance, if a user has built and installed PSBLAS 3.5 under the +For instance, if a user has built and installed PSBLAS 3.5 under the /opt directory and is using the SuiteSparse package (which includes UMFPACK), then MLD2P4 might be configured with: -

+
  ./configure --with-psblas=/opt/psblas-3.5/ \
  --with-umfpackincdir=/usr/include/suitesparse/
-

+
Once the configure script has completed execution, it will have generated the file Make.inc which will then be used by all Makefiles in the directory tree; this file will be copied in the install directory under the name Make.inc.MLD2P4. - +

-To use the MUMPS solver package, +To use the MUMPS solver package, the user has to add the appropriate options to the configure script; by default we are looking for the libraries -ldmumps -lsmumps -lzmumps -lcmumps -mumps_common -lpord. MUMPS often uses additional packages such as ScaLAPACK, ParMETIS, SCOTCH, as well as enabling OpenMP; in such cases it is necessary to add linker options with the --with-extra-libs configure option. - +

-To build the library the user will now enter -

+To build the library the user will now enter 
+
 make
-

+
followed (optionally) by -
+
 make install
-

+
diff --git a/docs/html/node9.html b/docs/html/node9.html index 94aab81d..5144a6d6 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -53,14 +53,15 @@ original version by: Nikos Drakos, CBLU, University of Leeds

Bug reporting -

+ If you find any bugs in our codes, please send an email to
pasqua.dambra@cnr.it
daniela.diserafino@unicampania.it
salvatore.filippone@cranfield.ac.uk
You should be aware that the amount of information needed to reproduce a problem in a parallel program may vary quite a lot. - +

+

diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 15fa8c28..3a70fdf3 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -49,29 +49,42 @@ based on PSBLAS


-
Pasqua D'Ambra +
Pasqua D'Ambra +
IAC-CNR, Naples, Italy +
+
+
+
Daniela di Serafino +
University of Campania ``Luigi Vanvitelli'', Caserta, Italy +
+
+
+
Salvatore Filippone +
Cranfield University, Cranfield, United Kingdom +
+
+
+
+

-ICAR-CNR, Naples, Italy -
Daniela di Serafino
-Second University of Naples, Italy -
Salvatore Filippone
-Cranfield University, United Kingdom


Software version: 2.1
-Feb. 28, 2017 +July 31, 2017
+

- + - +

+

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[(in)-255(order)-255(to)-255(remo)27(v)28(e)-255(nonsmo)-28(oth)-255(comp)-28(onen)28(ts)-255(from)-255(the)-256(r)1(ange)-256(of)-255(the)-255(prolongator,)-271(and)-255(hence)]TJ 0 -13.549 Td [(to)-266(impro)27(v)28(e)-266(the)-267(con)28(v)28(ergence)-267(pr)1(op)-28(erties)-267(of)-266(the)-267(m)28(ulti-lev)28(el)-266(metho)-28(d)-267([)]TJ 1 0 0 rg 1 0 0 RG @@ -2069,7 +2073,7 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(4)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(4)]TJ 0 g 0 G [-378(Mul)67(tigrid)-378(Ba)22(ck)22(gr)23(ound)]TJ/F15 10.9091 Tf 401.542 0 Td [(15)]TJ 0 g 0 G @@ -2119,7 +2123,7 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(16)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(16)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F17 14.3462 Tf -203.265 -35.866 Td [(5)-1125(Getting)-375(Started)]TJ/F15 10.9091 Tf 0 -24.802 Td [(W)83(e)-441(describ)-28(e)-441(the)-442(basics)-441(for)-441(building)-442(an)1(d)-442(applying)-441(MLD2P4)-441(one-lev)27(el)-441(and)-441(m)27(u)1(lti-lev)27(el)]TJ 0 -13.549 Td [(\050i.e.,)-468(AMG\051)-441(precondition)1(e)-1(rs)-441(with)-440(the)-441(Krylo)27(v)-441(solv)28(ers)-441(included)-441(in)-441(P)1(SBLAS)-441([)]TJ 1 0 0 rg 1 0 0 RG @@ -2129,19 +2133,19 @@ BT 0 g 0 G 13.333 -23.442 Td [(1.)]TJ 0 g 0 G -/F18 10.9091 Tf 13.94 0 Td [(De)51(clar)51(e)-370(the)-371(pr)51(e)51(c)51(onditioner)-370(data)-371(structur)51(e)]TJ/F15 10.9091 Tf 195.447 0 Td [(.)-487(It)-347(is)-347(a)-348(deriv)28(ed)-347(data)-348(t)28(yp)-28(e,)]TJ/F44 10.9091 Tf 131.812 0 Td [(mld_)]TJ/F18 10.9091 Tf 22.909 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(prec_)]TJ -356.542 -13.55 Td [(type)]TJ/F15 10.9091 Tf 22.908 0 Td [(,)-322(where)]TJ/F18 10.9091 Tf 37.923 0 Td [(x)]TJ/F15 10.9091 Tf 9.849 0 Td [(ma)28(y)-319(b)-28(e)]TJ/F44 10.9091 Tf 38.163 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.538 0 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.538 0 Td [(c)]TJ/F15 10.9091 Tf 9.202 0 Td [(or)]TJ/F44 10.9091 Tf 13.203 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-321(ac)-1(cord)1(ing)-319(to)-319(th)1(e)-319(basic)-319(data)-318(t)28(yp)-28(e)-319(of)-318(the)-319(sparse)]TJ -161.505 -13.549 Td [(matrix)-372(\050)]TJ/F44 10.9091 Tf 40.153 0 Td [(s)]TJ/F15 10.9091 Tf 9.79 0 Td [(=)-372(real)-373(single)-372(precision;)]TJ/F44 10.9091 Tf 114.22 0 Td [(d)]TJ/F15 10.9091 Tf 9.789 0 Td [(=)-372(real)-373(double)-372(precision;)]TJ/F44 10.9091 Tf 119.008 0 Td [(c)]TJ/F15 10.9091 Tf 9.79 0 Td [(=)-372(complex)-373(single)]TJ -302.75 -13.549 Td [(precision;)]TJ/F44 10.9091 Tf 48.807 0 Td [(z)]TJ/F15 10.9091 Tf 9.518 0 Td [(=)-347(c)-1(omp)1(le)-1(x)-347(double)-347(precision\051.)-487(This)-348(data)-347(structure)-348(is)-347(accessed)-348(b)28(y)-347(the)]TJ -58.325 -13.549 Td [(user)-333(only)-334(thr)1(ough)-334(the)-333(MLD2P4)-333(routines,)-334(fol)1(lo)27(wing)-333(an)-333(ob)-56(ject-orien)28(ted)-333(approac)28(h.)]TJ +/F18 10.9091 Tf 13.94 0 Td [(De)51(clar)51(e)-370(the)-371(pr)51(e)51(c)51(onditioner)-370(data)-371(structur)51(e)]TJ/F15 10.9091 Tf 195.447 0 Td [(.)-487(It)-347(is)-347(a)-348(deriv)28(ed)-347(data)-348(t)28(yp)-28(e,)]TJ/F45 10.9091 Tf 131.812 0 Td [(mld_)]TJ/F18 10.9091 Tf 22.909 0 Td [(x)]TJ/F45 10.9091 Tf 6.374 0 Td [(prec_)]TJ -356.542 -13.55 Td [(type)]TJ/F15 10.9091 Tf 22.908 0 Td [(,)-322(where)]TJ/F18 10.9091 Tf 37.923 0 Td [(x)]TJ/F15 10.9091 Tf 9.849 0 Td [(ma)28(y)-319(b)-28(e)]TJ/F45 10.9091 Tf 38.163 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.538 0 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.538 0 Td [(c)]TJ/F15 10.9091 Tf 9.202 0 Td [(or)]TJ/F45 10.9091 Tf 13.203 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-321(ac)-1(cord)1(ing)-319(to)-319(th)1(e)-319(basic)-319(data)-318(t)28(yp)-28(e)-319(of)-318(the)-319(sparse)]TJ -161.505 -13.549 Td [(matrix)-372(\050)]TJ/F45 10.9091 Tf 40.153 0 Td [(s)]TJ/F15 10.9091 Tf 9.79 0 Td [(=)-372(real)-373(single)-372(precision;)]TJ/F45 10.9091 Tf 114.22 0 Td [(d)]TJ/F15 10.9091 Tf 9.789 0 Td [(=)-372(real)-373(double)-372(precision;)]TJ/F45 10.9091 Tf 119.008 0 Td [(c)]TJ/F15 10.9091 Tf 9.79 0 Td [(=)-372(complex)-373(single)]TJ -302.75 -13.549 Td [(precision;)]TJ/F45 10.9091 Tf 48.807 0 Td [(z)]TJ/F15 10.9091 Tf 9.518 0 Td [(=)-347(c)-1(omp)1(le)-1(x)-347(double)-347(precision\051.)-487(This)-348(data)-347(structure)-348(is)-347(accessed)-348(b)28(y)-347(the)]TJ -58.325 -13.549 Td [(user)-333(only)-334(thr)1(ough)-334(the)-333(MLD2P4)-333(routines,)-334(fol)1(lo)27(wing)-333(an)-333(ob)-56(ject-orien)28(ted)-333(approac)28(h.)]TJ 0 g 0 G -13.94 -23.442 Td [(2.)]TJ 0 g 0 G -/F18 10.9091 Tf 13.94 0 Td [(A)26(l)-52(l)1(o)51(c)51(ate)-444(and)-444(initialize)-444(the)-444(pr)51(e)52(c)51(onditioner)-444(data)-444(structur)51(e,)-465(ac)51(c)51(or)51(ding)-444(to)-444(a)-444(pr)51(e)52(c)51(on-)]TJ 0 -13.549 Td [(ditioner)-407(typ)52(e)-407(chosen)-407(by)-406(the)-407(user)]TJ/F15 10.9091 Tf 154.603 0 Td [(.)-604(This)-386(is)-387(p)-27(erformed)-387(b)28(y)-386(the)-387(routine)]TJ/F44 10.9091 Tf 172.699 0 Td [(init)]TJ/F15 10.9091 Tf 22.909 0 Td [(,)-400(whic)28(h)]TJ -350.211 -13.55 Td [(also)-288(sets)-288(d)1(e)-1(f)1(aults)-288(for)-288(eac)28(h)-288(preconditioner)-287(t)27(yp)-27(e)-288(selected)-288(b)28(y)-288(the)-287(use)-1(r)1(.)-430(The)-287(precondi-)]TJ 0 -13.549 Td [(tioner)-273(t)28(yp)-28(es)-273(and)-273(the)-273(d)1(e)-1(f)1(aults)-273(asso)-28(ciated)-273(with)-273(them)-273(are)-273(giv)28(en)-273(in)-273(T)83(abl)1(e)]TJ +/F18 10.9091 Tf 13.94 0 Td [(A)26(l)-52(l)1(o)51(c)51(ate)-444(and)-444(initialize)-444(the)-444(pr)51(e)52(c)51(onditioner)-444(data)-444(structur)51(e,)-465(ac)51(c)51(or)51(ding)-444(to)-444(a)-444(pr)51(e)52(c)51(on-)]TJ 0 -13.549 Td [(ditioner)-407(typ)52(e)-407(chosen)-407(by)-406(the)-407(user)]TJ/F15 10.9091 Tf 154.603 0 Td [(.)-604(This)-386(is)-387(p)-27(erformed)-387(b)28(y)-386(the)-387(routine)]TJ/F45 10.9091 Tf 172.699 0 Td [(init)]TJ/F15 10.9091 Tf 22.909 0 Td [(,)-400(whic)28(h)]TJ -350.211 -13.55 Td [(also)-288(sets)-288(d)1(e)-1(f)1(aults)-288(for)-288(eac)28(h)-288(preconditioner)-287(t)27(yp)-27(e)-288(selected)-288(b)28(y)-288(the)-287(use)-1(r)1(.)-430(The)-287(precondi-)]TJ 0 -13.549 Td [(tioner)-273(t)28(yp)-28(es)-273(and)-273(the)-273(d)1(e)-1(f)1(aults)-273(asso)-28(ciated)-273(with)-273(them)-273(are)-273(giv)28(en)-273(in)-273(T)83(abl)1(e)]TJ 0 0 1 rg 0 0 1 RG [-273(1)]TJ 0 g 0 G - [(,)-285(where)-273(the)]TJ 0 -13.549 Td [(strings)-268(used)-268(b)27(y)]TJ/F44 10.9091 Tf 73.232 0 Td [(init)]TJ/F15 10.9091 Tf 25.835 0 Td [(to)-268(iden)28(tify)-268(the)-269(preconditioner)-268(t)28(yp)-28(es)-268(are)-268(also)-268(giv)27(en.)-422(Note)-269(that)]TJ -99.067 -13.549 Td [(these)-370(strings)-370(are)-371(v)56(alid)-370(also)-370(if)-370(upp)-28(ercase)-370(letters)-371(are)-370(substituted)-370(b)28(y)-370(corresp)-28(onding)]TJ 0 -13.549 Td [(lo)28(w)28(ercas)-1(e)-333(ones.)]TJ + [(,)-285(where)-273(the)]TJ 0 -13.549 Td [(strings)-268(used)-268(b)27(y)]TJ/F45 10.9091 Tf 73.232 0 Td [(init)]TJ/F15 10.9091 Tf 25.835 0 Td [(to)-268(iden)28(tify)-268(the)-269(preconditioner)-268(t)28(yp)-28(es)-268(are)-268(also)-268(giv)27(en.)-422(Note)-269(that)]TJ -99.067 -13.549 Td [(these)-370(strings)-370(are)-371(v)56(alid)-370(also)-370(if)-370(upp)-28(ercase)-370(letters)-371(are)-370(substituted)-370(b)28(y)-370(corresp)-28(onding)]TJ 0 -13.549 Td [(lo)28(w)28(ercas)-1(e)-333(ones.)]TJ 0 g 0 G -13.94 -23.442 Td [(3.)]TJ 0 g 0 G -/F18 10.9091 Tf 13.94 0 Td [(Mo)51(dify)-340(the)-341(sele)51(c)1(t)-1(e)52(d)-341(pr)51(e)51(c)51(onditi)1(o)-1(ner)-340(typ)51(e,)-344(by)-340(pr)51(op)51(erly)-340(setting)-341(pr)51(e)52(c)51(onditioner)-341(p)51(ar)51(am-)]TJ 0 -13.55 Td [(eters.)]TJ/F15 10.9091 Tf 31.58 0 Td [(This)-354(is)-353(p)-28(erformed)-354(b)28(y)-353(the)-354(routine)]TJ/F44 10.9091 Tf 160.936 0 Td [(set)]TJ/F15 10.9091 Tf 17.182 0 Td [(.)-505(This)-354(routine)-354(m)28(ust)-353(b)-28(e)-354(called)-354(onl)1(y)-354(if)]TJ -209.698 -13.549 Td [(the)-296(user)-296(w)28(an)27(ts)-296(to)-296(mo)-28(dify)-296(the)-296(default)-296(v)56(alues)-296(of)-297(th)1(e)-297(parameters)-296(asso)-28(ciated)-296(with)-296(the)]TJ 0 -13.549 Td [(selected)-263(pr)1(e)-1(cond)1(itioner)-263(t)28(yp)-28(e,)-276(to)-263(obtain)-262(a)-263(v)56(arian)28(t)-263(of)-262(that)-262(preconditioner.)-421(Examples)]TJ 0 -13.549 Td [(of)-306(use)-306(of)]TJ/F44 10.9091 Tf 42.808 0 Td [(set)]TJ/F15 10.9091 Tf 20.522 0 Td [(are)-306(giv)28(en)-307(in)-306(Section)]TJ +/F18 10.9091 Tf 13.94 0 Td [(Mo)51(dify)-340(the)-341(sele)51(c)1(t)-1(e)52(d)-341(pr)51(e)51(c)51(onditi)1(o)-1(ner)-340(typ)51(e,)-344(by)-340(pr)51(op)51(erly)-340(setting)-341(pr)51(e)52(c)51(onditioner)-341(p)51(ar)51(am-)]TJ 0 -13.55 Td [(eters.)]TJ/F15 10.9091 Tf 31.58 0 Td [(This)-354(is)-353(p)-28(erformed)-354(b)28(y)-353(the)-354(routine)]TJ/F45 10.9091 Tf 160.936 0 Td [(set)]TJ/F15 10.9091 Tf 17.182 0 Td [(.)-505(This)-354(routine)-354(m)28(ust)-353(b)-28(e)-354(called)-354(onl)1(y)-354(if)]TJ -209.698 -13.549 Td [(the)-296(user)-296(w)28(an)27(ts)-296(to)-296(mo)-28(dify)-296(the)-296(default)-296(v)56(alues)-296(of)-297(th)1(e)-297(parameters)-296(asso)-28(ciated)-296(with)-296(the)]TJ 0 -13.549 Td [(selected)-263(pr)1(e)-1(cond)1(itioner)-263(t)28(yp)-28(e,)-276(to)-263(obtain)-262(a)-263(v)56(arian)28(t)-263(of)-262(that)-262(preconditioner.)-421(Examples)]TJ 0 -13.549 Td [(of)-306(use)-306(of)]TJ/F45 10.9091 Tf 42.808 0 Td [(set)]TJ/F15 10.9091 Tf 20.522 0 Td [(are)-306(giv)28(en)-307(in)-306(Section)]TJ 0 0 1 rg 0 0 1 RG [-306(5.1)]TJ 0 g 0 G @@ -2165,19 +2169,19 @@ BT 0 g 0 G 4.606 -23.442 Td [(4.1)]TJ 0 g 0 G -/F18 10.9091 Tf 19.394 0 Td [(Build)-328(the)-328(aggr)51(e)51(gation)-328(hier)51(ar)52(chy)-329(f)1(or)-329(a)-328(given)-328(matrix.)]TJ/F15 10.9091 Tf 244.224 0 Td [(This)-301(is)-301(p)-28(erformed)-301(b)28(y)-301(the)]TJ -244.224 -13.549 Td [(routine)]TJ/F44 10.9091 Tf 37.606 0 Td [(hierarchy_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(.)]TJ +/F18 10.9091 Tf 19.394 0 Td [(Build)-328(the)-328(aggr)51(e)51(gation)-328(hier)51(ar)52(chy)-329(f)1(or)-329(a)-328(given)-328(matrix.)]TJ/F15 10.9091 Tf 244.224 0 Td [(This)-301(is)-301(p)-28(erformed)-301(b)28(y)-301(the)]TJ -244.224 -13.549 Td [(routine)]TJ/F45 10.9091 Tf 37.606 0 Td [(hierarchy_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(.)]TJ 0 g 0 G -142.908 -17.997 Td [(4.2)]TJ 0 g 0 G -/F18 10.9091 Tf 19.394 0 Td [(Build)-295(the)-295(pr)51(e)52(c)51(onditioner)-295(for)-295(a)-295(given)-295(matrix.)]TJ/F15 10.9091 Tf 208.934 0 Td [(This)-265(is)-265(p)-28(erformed)-265(b)28(y)-265(the)-265(routine)]TJ/F44 10.9091 Tf -208.934 -13.55 Td [(smoothers_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(.)]TJ -109.908 -23.442 Td [(If)-292(the)-292(selected)-292(preconditi)1(oner)-292(is)-292(one-lev)28(el,)-301(it)-291(is)-292(built)-292(in)-292(a)-292(single)-291(ste)-1(p)1(,)-301(p)-27(erformed)-292(b)28(y)]TJ 0 -13.549 Td [(the)-333(routine)]TJ/F44 10.9091 Tf 56.394 0 Td [(bld)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)]TJ +/F18 10.9091 Tf 19.394 0 Td [(Build)-295(the)-295(pr)51(e)52(c)51(onditioner)-295(for)-295(a)-295(given)-295(matrix.)]TJ/F15 10.9091 Tf 208.934 0 Td [(This)-265(is)-265(p)-28(erformed)-265(b)28(y)-265(the)-265(routine)]TJ/F45 10.9091 Tf -208.934 -13.55 Td [(smoothers_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(.)]TJ -109.908 -23.442 Td [(If)-292(the)-292(selected)-292(preconditi)1(oner)-292(is)-292(one-lev)28(el,)-301(it)-291(is)-292(built)-292(in)-292(a)-292(single)-291(ste)-1(p)1(,)-301(p)-27(erformed)-292(b)28(y)]TJ 0 -13.549 Td [(the)-333(routine)]TJ/F45 10.9091 Tf 56.394 0 Td [(bld)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)]TJ 0 g 0 G -87.515 -23.442 Td [(5.)]TJ 0 g 0 G -/F18 10.9091 Tf 13.94 0 Td [(Apply)-282(the)-281(pr)51(e)51(c)51(onditioner)-281(at)-282(e)51(ach)-282(iter)52(ation)-282(of)-282(a)-281(Krylov)-282(solver.)]TJ/F15 10.9091 Tf 288.311 0 Td [(This)-251(is)-250(p)-28(erformed)-250(b)27(y)]TJ -288.311 -13.549 Td [(the)-267(routine)]TJ/F44 10.9091 Tf 54.951 0 Td [(aply)]TJ/F15 10.9091 Tf 22.908 0 Td [(.)-422(When)-268(usin)1(g)-268(the)-267(PSBLAS)-267(Krylo)28(v)-267(solv)28(ers,)-281(this)-267(step)-267(is)-267(c)-1(ompl)1(e)-1(tely)]TJ -77.859 -13.549 Td [(transparen)28(t)-265(to)-264(the)-265(user,)-278(since)]TJ/F44 10.9091 Tf 140.005 0 Td [(aply)]TJ/F15 10.9091 Tf 25.795 0 Td [(is)-265(called)-264(b)28(y)-265(the)-265(P)1(SBLAS)-265(routine)-264(implemen)27(ting)]TJ -165.8 -13.55 Td [(the)-333(Krylo)28(v)-334(solv)28(er)-333(\050)]TJ/F44 10.9091 Tf 90.121 0 Td [(psb_krylov)]TJ/F15 10.9091 Tf 57.272 0 Td [(\051.)]TJ +/F18 10.9091 Tf 13.94 0 Td [(Apply)-282(the)-281(pr)51(e)51(c)51(onditioner)-281(at)-282(e)51(ach)-282(iter)52(ation)-282(of)-282(a)-281(Krylov)-282(solver.)]TJ/F15 10.9091 Tf 288.311 0 Td [(This)-251(is)-250(p)-28(erformed)-250(b)27(y)]TJ -288.311 -13.549 Td [(the)-267(routine)]TJ/F45 10.9091 Tf 54.951 0 Td [(aply)]TJ/F15 10.9091 Tf 22.908 0 Td [(.)-422(When)-268(usin)1(g)-268(the)-267(PSBLAS)-267(Krylo)28(v)-267(solv)28(ers,)-281(this)-267(step)-267(is)-267(c)-1(ompl)1(e)-1(tely)]TJ -77.859 -13.549 Td [(transparen)28(t)-265(to)-264(the)-265(user,)-278(since)]TJ/F45 10.9091 Tf 140.005 0 Td [(aply)]TJ/F15 10.9091 Tf 25.795 0 Td [(is)-265(called)-264(b)28(y)-265(the)-265(P)1(SBLAS)-265(routine)-264(implemen)27(ting)]TJ -165.8 -13.55 Td [(the)-333(Krylo)28(v)-334(solv)28(er)-333(\050)]TJ/F45 10.9091 Tf 90.121 0 Td [(psb_krylov)]TJ/F15 10.9091 Tf 57.272 0 Td [(\051.)]TJ 0 g 0 G -161.333 -23.442 Td [(6.)]TJ 0 g 0 G -/F18 10.9091 Tf 13.94 0 Td [(F)77(r)51(e)51(e)-439(the)-439(pr)51(e)51(c)51(onditioner)-438(data)-439(structur)51(e)]TJ/F15 10.9091 Tf 183.092 0 Td [(.)-709(This)-422(is)-421(p)-28(erformed)-421(b)27(y)-421(the)-422(routine)]TJ/F44 10.9091 Tf 176.147 0 Td [(free)]TJ/F15 10.9091 Tf 22.909 0 Td [(.)]TJ -382.148 -13.549 Td [(This)-326(step)-327(is)-326(complemen)28(tary)-326(to)-327(step)-326(1)-326(and)-326(should)-326(b)-28(e)-326(p)-28(erformed)-326(when)-327(the)-326(precon-)]TJ 0 -13.549 Td [(ditioner)-333(is)-334(n)1(o)-334(more)-333(used.)]TJ +/F18 10.9091 Tf 13.94 0 Td [(F)77(r)51(e)51(e)-439(the)-439(pr)51(e)51(c)51(onditioner)-438(data)-439(structur)51(e)]TJ/F15 10.9091 Tf 183.092 0 Td [(.)-709(This)-422(is)-421(p)-28(erformed)-421(b)27(y)-421(the)-422(routine)]TJ/F45 10.9091 Tf 176.147 0 Td [(free)]TJ/F15 10.9091 Tf 22.909 0 Td [(.)]TJ -382.148 -13.549 Td [(This)-326(step)-327(is)-326(complemen)28(tary)-326(to)-327(step)-326(1)-326(and)-326(should)-326(b)-28(e)-326(p)-28(erformed)-326(when)-327(the)-326(precon-)]TJ 0 -13.549 Td [(ditioner)-333(is)-334(n)1(o)-334(more)-333(used.)]TJ 0 g 0 G 0 g 0 G ET @@ -2192,7 +2196,7 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(5)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(5)]TJ 0 g 0 G [-378(Getting)-378(St)67(ar)67(ted)]TJ/F15 10.9091 Tf 401.542 0 Td [(17)]TJ 0 g 0 G @@ -2218,21 +2222,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 103.229 651.052 Td [(type)]TJ +/F42 10.9091 Tf 103.229 651.052 Td [(type)]TJ ET q 1 0 0 1 195.025 646.987 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 201.003 651.052 Td [(string)]TJ +/F42 10.9091 Tf 201.003 651.052 Td [(string)]TJ ET q 1 0 0 1 258.004 646.987 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 263.982 651.052 Td [(def)89(a)22(ul)67(t)-378(preconditioner)]TJ +/F42 10.9091 Tf 263.982 651.052 Td [(def)89(a)22(ul)67(t)-378(preconditioner)]TJ ET q 1 0 0 1 502.4 646.987 cm @@ -2254,7 +2258,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 201.003 637.105 Td [('NOPREC')]TJ +/F45 10.9091 Tf 201.003 637.105 Td [('NOPREC')]TJ ET q 1 0 0 1 258.004 619.491 cm @@ -2283,7 +2287,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 201.003 609.608 Td [('DIAG')]TJ/F15 10.9091 Tf 41.296 0 Td [(or)]TJ/F44 10.9091 Tf -41.296 -13.549 Td [('JACOBI')]TJ +/F45 10.9091 Tf 201.003 609.608 Td [('DIAG')]TJ/F15 10.9091 Tf 41.296 0 Td [(or)]TJ/F45 10.9091 Tf -41.296 -13.549 Td [('JACOBI')]TJ ET q 1 0 0 1 258.004 578.445 cm @@ -2312,7 +2316,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 201.003 568.562 Td [('BJAC')]TJ +/F45 10.9091 Tf 201.003 568.562 Td [('BJAC')]TJ ET q 1 0 0 1 258.004 564.497 cm @@ -2341,7 +2345,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 201.003 554.614 Td [('AS')]TJ +/F45 10.9091 Tf 201.003 554.614 Td [('AS')]TJ ET q 1 0 0 1 258.004 537 cm @@ -2370,7 +2374,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 94.844 l S Q BT -/F44 10.9091 Tf 201.003 527.117 Td [('ML')]TJ +/F45 10.9091 Tf 201.003 527.117 Td [('ML')]TJ ET q 1 0 0 1 258.004 441.757 cm @@ -2400,11 +2404,11 @@ BT /F15 10.9091 Tf 123.31 422.824 Td [(T)83(able)-333(1:)-444(Preconditioner)-334(t)28(yp)-28(es,)-333(corresp)-28(onding)-333(strings)-333(and)-334(d)1(e)-1(f)1(ault)-334(c)28(hoices.)]TJ 0 g 0 G 0 g 0 G - -12.773 -39.486 Td [(Note)-266(that)-266(the)-266(mo)-27(dule)]TJ/F44 10.9091 Tf 104.329 0 Td [(mld_prec_mod)]TJ/F15 10.9091 Tf 68.726 0 Td [(,)-279(con)27(taini)1(ng)-266(the)-266(de\014nition)-266(of)-266(the)-266(pr)1(e)-1(cond)1(itioner)]TJ -189.992 -13.549 Td [(data)-319(t)28(yp)-28(e)-319(and)-319(the)-319(in)28(terfaces)-319(to)-319(the)-319(routines)-319(of)-319(MLD2P4,)-322(m)28(ust)-319(b)-28(e)-319(used)-319(in)-319(an)28(y)-320(p)1(rogram)]TJ 0 -13.549 Td [(calling)-358(suc)28(h)-359(routines.)-519(The)-358(mo)-28(dules)]TJ/F44 10.9091 Tf 172.419 0 Td [(psb_base_mod)]TJ/F15 10.9091 Tf 68.727 0 Td [(,)-364(for)-359(the)-358(sparse)-358(matrix)-358(and)-359(comm)28(u-)]TJ -241.146 -13.55 Td [(nication)-404(descriptor)-403(data)-404(t)28(yp)-28(es,)-421(and)]TJ/F44 10.9091 Tf 174.817 0 Td [(psb_krylov_mod)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)-421(for)-404(in)28(terfacing)-404(with)-403(the)-404(Krylo)28(v)]TJ -254.998 -13.549 Td [(solv)28(ers,)-334(m)28(ust)-333(b)-28(e)-333(also)-334(used)-333(\050see)-333(Section)]TJ + -12.773 -39.486 Td [(Note)-266(that)-266(the)-266(mo)-27(dule)]TJ/F45 10.9091 Tf 104.329 0 Td [(mld_prec_mod)]TJ/F15 10.9091 Tf 68.726 0 Td [(,)-279(con)27(taini)1(ng)-266(the)-266(de\014nition)-266(of)-266(the)-266(pr)1(e)-1(cond)1(itioner)]TJ -189.992 -13.549 Td [(data)-319(t)28(yp)-28(e)-319(and)-319(the)-319(in)28(terfaces)-319(to)-319(the)-319(routines)-319(of)-319(MLD2P4,)-322(m)28(ust)-319(b)-28(e)-319(used)-319(in)-319(an)28(y)-320(p)1(rogram)]TJ 0 -13.549 Td [(calling)-358(suc)28(h)-359(routines.)-519(The)-358(mo)-28(dules)]TJ/F45 10.9091 Tf 172.419 0 Td [(psb_base_mod)]TJ/F15 10.9091 Tf 68.727 0 Td [(,)-364(for)-359(the)-358(sparse)-358(matrix)-358(and)-359(comm)28(u-)]TJ -241.146 -13.55 Td [(nication)-404(descriptor)-403(data)-404(t)28(yp)-28(es,)-421(and)]TJ/F45 10.9091 Tf 174.817 0 Td [(psb_krylov_mod)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)-421(for)-404(in)28(terfacing)-404(with)-403(the)-404(Krylo)28(v)]TJ -254.998 -13.549 Td [(solv)28(ers,)-334(m)28(ust)-333(b)-28(e)-333(also)-334(used)-333(\050see)-333(Section)]TJ 0 0 1 rg 0 0 1 RG [-334(5.1)]TJ 0 g 0 G - [(\051.)]TJ/F43 10.9091 Tf 16.937 -28.111 Td [(Remark)-513(1.)]TJ/F15 10.9091 Tf 67.379 0 Td [(Coarsest-lev)28(el)-446(solv)28(ers)-446(based)-446(on)-446(the)-446(LU)-445(factorization,)-474(suc)28(h)-446(as)-446(those)]TJ -84.316 -13.55 Td [(implemen)28(ted)-437(in)-437(UMFP)83(A)28(CK,)-437(MUMPS,)-437(Sup)-28(erLU,)-437(an)1(d)-437(Sup)-28(erLU)]TJ + [(\051.)]TJ/F44 10.9091 Tf 16.937 -28.111 Td [(Remark)-513(1.)]TJ/F15 10.9091 Tf 67.379 0 Td [(Coarsest-lev)28(el)-446(solv)28(ers)-446(based)-446(on)-446(the)-446(LU)-445(factorization,)-474(suc)28(h)-446(as)-446(those)]TJ -84.316 -13.55 Td [(implemen)28(ted)-437(in)-437(UMFP)83(A)28(CK,)-437(MUMPS,)-437(Sup)-28(erLU,)-437(an)1(d)-437(Sup)-28(erLU)]TJ ET q 1 0 0 1 402.466 287.68 cm @@ -2419,7 +2423,7 @@ BT 0 0 1 rg 0 0 1 RG [-339(1)]TJ 0 g 0 G - [(\051.)]TJ 0 -13.549 Td [(This)-465(preconditioner)-464(is)-465(c)27(hosen)-464(b)27(y)-464(simply)-465(sp)-28(ecifying)]TJ/F44 10.9091 Tf 253.737 0 Td [('ML')]TJ/F15 10.9091 Tf 27.978 0 Td [(as)-465(the)-465(second)-464(argumen)27(t)-464(of)]TJ/F44 10.9091 Tf -281.715 -13.549 Td [(P%init)]TJ/F15 10.9091 Tf 38.192 0 Td [(\050a)-351(call)-351(to)]TJ/F44 10.9091 Tf 47.243 0 Td [(P%set)]TJ/F15 10.9091 Tf 32.464 0 Td [(is)-351(not)-351(needed\051)-351(and)-351(is)-351(appli)1(e)-1(d)-350(with)-351(the)-351(CG)-351(solv)28(er)-351(pro)27(vi)1(ded)-351(b)27(y)]TJ -117.899 -13.549 Td [(PSBLAS)-312(\050the)-311(m)-1(atr)1(ix)-312(of)-312(the)-312(system)-312(to)-311(b)-28(e)-312(solv)28(ed)-312(is)-312(assumed)-312(to)-312(b)-27(e)-312(p)-28(ositiv)28(e)-312(de\014nite\051.)-437(As)]TJ + [(\051.)]TJ 0 -13.549 Td [(This)-465(preconditioner)-464(is)-465(c)27(hosen)-464(b)27(y)-464(simply)-465(sp)-28(ecifying)]TJ/F45 10.9091 Tf 253.737 0 Td [('ML')]TJ/F15 10.9091 Tf 27.978 0 Td [(as)-465(the)-465(second)-464(argumen)27(t)-464(of)]TJ/F45 10.9091 Tf -281.715 -13.549 Td [(P%init)]TJ/F15 10.9091 Tf 38.192 0 Td [(\050a)-351(call)-351(to)]TJ/F45 10.9091 Tf 47.243 0 Td [(P%set)]TJ/F15 10.9091 Tf 32.464 0 Td [(is)-351(not)-351(needed\051)-351(and)-351(is)-351(appli)1(e)-1(d)-350(with)-351(the)-351(CG)-351(solv)28(er)-351(pro)27(vi)1(ded)-351(b)27(y)]TJ -117.899 -13.549 Td [(PSBLAS)-312(\050the)-311(m)-1(atr)1(ix)-312(of)-312(the)-312(system)-312(to)-311(b)-28(e)-312(solv)28(ed)-312(is)-312(assumed)-312(to)-312(b)-27(e)-312(p)-28(ositiv)28(e)-312(de\014nite\051.)-437(As)]TJ 0 g 0 G 0 g 0 G ET @@ -2433,13 +2437,13 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(18)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(18)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G -/F15 10.9091 Tf -203.265 -35.866 Td [(previously)-352(observ)28(ed,)-357(the)-352(mo)-28(dules)]TJ/F44 10.9091 Tf 162.633 0 Td [(psb_base_mod)]TJ/F15 10.9091 Tf 68.726 0 Td [(,)]TJ/F44 10.9091 Tf 6.924 0 Td [(mld_prec_mod)]TJ/F15 10.9091 Tf 72.569 0 Td [(and)]TJ/F44 10.9091 Tf 21.418 0 Td [(psb_krylov_mod)]TJ/F15 10.9091 Tf -332.27 -13.549 Td [(m)28(ust)-334(b)-27(e)-334(used)-333(b)28(y)-334(t)1(he)-334(example)-333(program.)]TJ 16.936 -13.549 Td [(The)-395(part)-395(of)-395(the)-395(co)-28(de)-395(concerning)-395(the)-395(reading)-395(and)-395(assem)27(blin)1(g)-396(of)-395(the)-395(sparse)-395(matrix)]TJ -16.936 -13.549 Td [(and)-457(the)-456(righ)27(t-han)1(d)-457(side)-457(v)28(ector,)-488(p)-28(erformed)-456(through)-457(the)-457(PSBLAS)-456(routines)-457(for)-457(sparse)]TJ 0 -13.549 Td [(matrix)-385(and)-385(v)28(ector)-386(managemen)28(t,)-398(is)-385(not)-385(rep)-28(orted)-385(here)-385(for)-385(brevit)28(y;)-412(t)1(he)-386(statemen)28(ts)-385(con-)]TJ 0 -13.55 Td [(cerning)-265(the)-264(deallo)-28(cation)-265(of)-264(the)-265(PSBLAS)-264(data)-265(structure)-265(are)-264(neglec)-1(ted)-264(to)-28(o.)-422(Th)1(e)-265(complete)]TJ 0 -13.549 Td [(co)-28(de)-306(can)-307(b)-27(e)-307(found)-306(in)-307(the)-306(example)-307(program)-306(\014le)]TJ/F44 10.9091 Tf 223.484 0 Td [(mld_dexample_ml.f90)]TJ/F15 10.9091 Tf 108.817 0 Td [(,)-312(in)-306(the)-307(directory)]TJ/F44 10.9091 Tf -332.301 -13.549 Td [(examples/fileread)]TJ/F15 10.9091 Tf 101.269 0 Td [(of)-358(the)-358(MLD2P4)-358(implemen)28(tation)-358(\050see)-359(Section)]TJ +/F15 10.9091 Tf -203.265 -35.866 Td [(previously)-352(observ)28(ed,)-357(the)-352(mo)-28(dules)]TJ/F45 10.9091 Tf 162.633 0 Td [(psb_base_mod)]TJ/F15 10.9091 Tf 68.726 0 Td [(,)]TJ/F45 10.9091 Tf 6.924 0 Td [(mld_prec_mod)]TJ/F15 10.9091 Tf 72.569 0 Td [(and)]TJ/F45 10.9091 Tf 21.418 0 Td [(psb_krylov_mod)]TJ/F15 10.9091 Tf -332.27 -13.549 Td [(m)28(ust)-334(b)-27(e)-334(used)-333(b)28(y)-334(t)1(he)-334(example)-333(program.)]TJ 16.936 -13.549 Td [(The)-395(part)-395(of)-395(the)-395(co)-28(de)-395(concerning)-395(the)-395(reading)-395(and)-395(assem)27(blin)1(g)-396(of)-395(the)-395(sparse)-395(matrix)]TJ -16.936 -13.549 Td [(and)-457(the)-456(righ)27(t-han)1(d)-457(side)-457(v)28(ector,)-488(p)-28(erformed)-456(through)-457(the)-457(PSBLAS)-456(routines)-457(for)-457(sparse)]TJ 0 -13.549 Td [(matrix)-385(and)-385(v)28(ector)-386(managemen)28(t,)-398(is)-385(not)-385(rep)-28(orted)-385(here)-385(for)-385(brevit)28(y;)-412(t)1(he)-386(statemen)28(ts)-385(con-)]TJ 0 -13.55 Td [(cerning)-265(the)-264(deallo)-28(cation)-265(of)-264(the)-265(PSBLAS)-264(data)-265(structure)-265(are)-264(neglec)-1(ted)-264(to)-28(o.)-422(Th)1(e)-265(complete)]TJ 0 -13.549 Td [(co)-28(de)-306(can)-307(b)-27(e)-307(found)-306(in)-307(the)-306(example)-307(program)-306(\014le)]TJ/F45 10.9091 Tf 223.484 0 Td [(mld_dexample_ml.f90)]TJ/F15 10.9091 Tf 108.817 0 Td [(,)-312(in)-306(the)-307(directory)]TJ/F45 10.9091 Tf -332.301 -13.549 Td [(examples/fileread)]TJ/F15 10.9091 Tf 101.269 0 Td [(of)-358(the)-358(MLD2P4)-358(implemen)28(tation)-358(\050see)-359(Section)]TJ 0 0 1 rg 0 0 1 RG [-358(3.5)]TJ 0 g 0 G - [(\051.)-518(A)-358(sample)-358(tes)-1(t)]TJ -101.269 -13.549 Td [(problem)-375(along)-374(with)-375(the)-375(relev)56(an)28(t)-375(input)-374(data)-375(is)-375(a)28(v)56(ailable)-375(in)]TJ/F44 10.9091 Tf 283.422 0 Td [(examples/fileread/runs)]TJ/F15 10.9091 Tf 125.999 0 Td [(.)]TJ -409.421 -13.549 Td [(F)83(or)-333(details)-333(on)-334(th)1(e)-334(use)-333(of)-334(th)1(e)-334(PSBLAS)-333(routines,)-333(see)-334(the)-333(PSBLAS)-333(User's)-334(Guide)-333([)]TJ + [(\051.)-518(A)-358(sample)-358(tes)-1(t)]TJ -101.269 -13.549 Td [(problem)-375(along)-374(with)-375(the)-375(relev)56(an)28(t)-375(input)-374(data)-375(is)-375(a)28(v)56(ailable)-375(in)]TJ/F45 10.9091 Tf 283.422 0 Td [(examples/fileread/runs)]TJ/F15 10.9091 Tf 125.999 0 Td [(.)]TJ -409.421 -13.549 Td [(F)83(or)-333(details)-333(on)-334(th)1(e)-334(use)-333(of)-334(th)1(e)-334(PSBLAS)-333(routines,)-333(see)-334(the)-333(PSBLAS)-333(User's)-334(Guide)-333([)]TJ 1 0 0 rg 1 0 0 RG [(13)]TJ 0 g 0 G @@ -2447,11 +2451,11 @@ BT 0 0 1 rg 0 0 1 RG [-229(6)]TJ 0 g 0 G - [-229(for)-229(details\051.)-409(If)-229(these)]TJ 0 -13.549 Td [(v)28(ersions)-334(are)-333(installed,)-333(the)-333(c)-1(or)1(res)-1(p)-27(onding)-333(co)-28(des)-334(are)-333(a)28(v)55(ailable)-333(in)]TJ/F44 10.9091 Tf 300.455 0 Td [(examples/fileread/)]TJ/F15 10.9091 Tf 103.089 0 Td [(.)]TJ -386.608 -13.549 Td [(Di\013eren)28(t)-469(v)27(ersions)-469(of)-469(the)-469(m)28(ulti-lev)28(e)-1(l)-469(preconditioner)-469(can)-469(b)-28(e)-469(obtained)-469(b)28(y)-469(c)28(hanging)]TJ -16.936 -13.55 Td [(the)-439(default)-440(v)56(alues)-440(of)-439(the)-440(pr)1(e)-1(cond)1(itioner)-440(parameters.)-763(The)-439(co)-28(de)-439(rep)-28(orted)-440(in)-439(Figure)]TJ + [-229(for)-229(details\051.)-409(If)-229(these)]TJ 0 -13.549 Td [(v)28(ersions)-334(are)-333(installed,)-333(the)-333(c)-1(or)1(res)-1(p)-27(onding)-333(co)-28(des)-334(are)-333(a)28(v)55(ailable)-333(in)]TJ/F45 10.9091 Tf 300.455 0 Td [(examples/fileread/)]TJ/F15 10.9091 Tf 103.089 0 Td [(.)]TJ -386.608 -13.549 Td [(Di\013eren)28(t)-469(v)27(ersions)-469(of)-469(the)-469(m)28(ulti-lev)28(e)-1(l)-469(preconditioner)-469(can)-469(b)-28(e)-469(obtained)-469(b)28(y)-469(c)28(hanging)]TJ -16.936 -13.55 Td [(the)-439(default)-440(v)56(alues)-440(of)-439(the)-440(pr)1(e)-1(cond)1(itioner)-440(parameters.)-763(The)-439(co)-28(de)-439(rep)-28(orted)-440(in)-439(Figure)]TJ 0 0 1 rg 0 0 1 RG [-439(3)]TJ 0 g 0 G - 0 -13.549 Td [(sho)28(ws)-368(ho)28(w)-368(to)-368(set)-367(a)-368(V-cycle)-368(preconditioner)-367(whic)27(h)-367(applies)-368(1)-368(blo)-27(c)27(k-Jacobi)-367(sw)27(eep)-367(as)-368(pre-)]TJ 0 -13.549 Td 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[(for)-424(real)-424(single)-423(precision,)]TJ/F18 10.9091 Tf 121.075 0 Td [(x)]TJ/F15 10.9091 Tf 10.998 0 Td [(=)]TJ/F45 10.9091 Tf 13.108 0 Td [(d)]TJ/F15 10.9091 Tf -379.451 -13.549 Td [(for)-371(real)-371(double)-371(precision,)]TJ/F18 10.9091 Tf 123.413 0 Td [(x)]TJ/F15 10.9091 Tf 10.422 0 Td [(=)]TJ/F45 10.9091 Tf 12.532 0 Td [(c)]TJ/F15 10.9091 Tf 9.774 0 Td [(for)-371(complex)-371(single)-371(precision,)]TJ/F18 10.9091 Tf 140.11 0 Td [(x)]TJ/F15 10.9091 Tf 10.422 0 Td [(=)]TJ/F45 10.9091 Tf 12.532 0 Td [(z)]TJ/F15 10.9091 Tf 9.774 0 Td [(for)-371(complex)]TJ -328.979 -13.55 Td [(double)-333(precision;)]TJ 0 g 0 G /F25 10.9091 Tf -10.909 -22.515 Td [(\017)]TJ 0 g 0 G -/F15 10.9091 Tf 10.909 0 Td [(the)-337(preconditioner)-337(data)-337(structure)-337(m)28(ust)-337(b)-28(e)-337(of)-337(t)28(yp)-28(e)]TJ/F44 10.9091 Tf 241.776 0 Td [(mld_)]TJ/F18 10.9091 Tf 22.908 0 Td [(x)]TJ/F44 10.9091 Tf 6.375 0 Td [(prec_type)]TJ/F15 10.9091 Tf 51.544 0 Td [(,)-338(with)]TJ/F18 10.9091 Tf 31.606 0 Td [(x)]TJ/F15 10.9091 Tf 10.05 0 Td [(=)]TJ/F44 10.9091 Tf 12.162 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf -382.148 -13.549 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.667 0 Td [(c)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.667 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-333(according)-334(to)-333(the)-333(sparse)-334(matrix)-333(data)-333(structure;)]TJ +/F15 10.9091 Tf 10.909 0 Td [(the)-337(preconditioner)-337(data)-337(structure)-337(m)28(ust)-337(b)-28(e)-337(of)-337(t)28(yp)-28(e)]TJ/F45 10.9091 Tf 241.776 0 Td [(mld_)]TJ/F18 10.9091 Tf 22.908 0 Td [(x)]TJ/F45 10.9091 Tf 6.375 0 Td [(prec_type)]TJ/F15 10.9091 Tf 51.544 0 Td [(,)-338(with)]TJ/F18 10.9091 Tf 31.606 0 Td [(x)]TJ/F15 10.9091 Tf 10.05 0 Td [(=)]TJ/F45 10.9091 Tf 12.162 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf -382.148 -13.549 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.667 0 Td [(c)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.667 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-333(according)-334(to)-333(the)-333(sparse)-334(matrix)-333(data)-333(structure;)]TJ 0 g 0 G /F25 10.9091 Tf -41.424 -22.516 Td [(\017)]TJ 0 g 0 G -/F15 10.9091 Tf 10.909 0 Td [(the)-321(arra)28(ys)-321(con)27(tain)1(ing)-321(the)-322(v)28(ectors)]TJ/F22 10.9091 Tf 159.847 0 Td [(v)]TJ/F15 10.9091 Tf 9.182 0 Td [(and)]TJ/F22 10.9091 Tf 21.078 0 Td [(w)]TJ/F15 10.9091 Tf 11.606 0 Td [(in)28(v)28(olv)27(ed)-321(in)-321(the)-321(preconditioner)-321(appli)1(c)-1(a-)]TJ -201.713 -13.549 Td [(tion)]TJ/F22 10.9091 Tf 21.975 0 Td [(w)]TJ/F15 10.9091 Tf 11.134 0 Td [(=)]TJ/F22 10.9091 Tf 11.515 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(v)]TJ/F15 10.9091 Tf 8.866 0 Td [(m)28(ust)-292(b)-28(e)-292(of)-293(t)28(yp)-27(e)]TJ/F44 10.9091 Tf 77.053 0 Td [(psb_)]TJ/F18 10.9091 Tf 22.909 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(vect_type)]TJ/F15 10.9091 Tf 54.732 0 Td [(with)]TJ/F18 10.9091 Tf 24.399 0 Td [(x)]TJ/F15 10.9091 Tf 9.562 0 Td [(=)]TJ/F44 10.9091 Tf 11.672 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.308 0 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.307 0 Td [(c)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F44 10.9091 Tf 6.308 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-300(in)-292(a)-293(manner)]TJ -322.163 -13.549 Td [(completely)-333(analogous)-334(to)-333(the)-333(sparse)-334(matrix)-333(t)28(yp)-28(e;)]TJ +/F15 10.9091 Tf 10.909 0 Td [(the)-321(arra)28(ys)-321(con)27(tain)1(ing)-321(the)-322(v)28(ectors)]TJ/F22 10.9091 Tf 159.847 0 Td [(v)]TJ/F15 10.9091 Tf 9.182 0 Td [(and)]TJ/F22 10.9091 Tf 21.078 0 Td [(w)]TJ/F15 10.9091 Tf 11.606 0 Td [(in)28(v)28(olv)27(ed)-321(in)-321(the)-321(preconditioner)-321(appli)1(c)-1(a-)]TJ -201.713 -13.549 Td [(tion)]TJ/F22 10.9091 Tf 21.975 0 Td [(w)]TJ/F15 10.9091 Tf 11.134 0 Td [(=)]TJ/F22 10.9091 Tf 11.515 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F22 10.9091 Tf 4.732 -3.959 Td [(v)]TJ/F15 10.9091 Tf 8.866 0 Td [(m)28(ust)-292(b)-28(e)-292(of)-293(t)28(yp)-27(e)]TJ/F45 10.9091 Tf 77.053 0 Td [(psb_)]TJ/F18 10.9091 Tf 22.909 0 Td [(x)]TJ/F45 10.9091 Tf 6.374 0 Td [(vect_type)]TJ/F15 10.9091 Tf 54.732 0 Td [(with)]TJ/F18 10.9091 Tf 24.399 0 Td [(x)]TJ/F15 10.9091 Tf 9.562 0 Td [(=)]TJ/F45 10.9091 Tf 11.672 0 Td [(s)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.308 0 Td [(d)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.307 0 Td [(c)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)]TJ/F45 10.9091 Tf 6.308 0 Td [(z)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-300(in)-292(a)-293(manner)]TJ -322.163 -13.549 Td [(completely)-333(analogous)-334(to)-333(the)-333(sparse)-334(matrix)-333(t)28(yp)-28(e;)]TJ 0 g 0 G /F25 10.9091 Tf -10.909 -22.516 Td [(\017)]TJ 0 g 0 G @@ -3275,23 +3279,23 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(22)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(22)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F17 11.9552 Tf -203.265 -35.866 Td [(6.1)-1125(Subroutine)-375(init)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 140.362 -20.594 Td [(call)-525(p%init\050ptype,info\051)]TJ/F15 10.9091 Tf -140.362 -25.505 Td [(This)-388(routine)-388(allo)-27(cates)-388(and)-388(initializes)-388(the)-388(preconditioner)]TJ/F44 10.9091 Tf 272.013 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-402(accordin)1(g)-388(to)-388(the)-388(precondi-)]TJ -277.74 -13.549 Td [(tioner)-333(t)28(yp)-28(e)-334(c)28(hosen)-333(b)28(y)-334(the)-333(user.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -15.794 Td [(ptype)-1589(character\050len=*\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 206.333 0 Td [(.)]TJ -160.362 -13.549 Td [(The)-333(t)27(yp)-27(e)-334(of)-333(preconditioner.)-444(Its)-334(v)56(alues)-333(are)-334(sp)-27(e)-1(ci\014ed)-333(in)-333(T)83(able)]TJ +/F45 10.9091 Tf 140.362 -20.594 Td [(call)-525(p%init\050ptype,info\051)]TJ/F15 10.9091 Tf -140.362 -25.505 Td [(This)-388(routine)-388(allo)-27(cates)-388(and)-388(initializes)-388(the)-388(preconditioner)]TJ/F45 10.9091 Tf 272.013 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-402(accordin)1(g)-388(to)-388(the)-388(precondi-)]TJ -277.74 -13.549 Td [(tioner)-333(t)28(yp)-28(e)-334(c)28(hosen)-333(b)28(y)-334(the)-333(user.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.794 Td [(ptype)-1589(character\050len=*\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 206.333 0 Td [(.)]TJ -160.362 -13.549 Td [(The)-333(t)27(yp)-27(e)-334(of)-333(preconditioner.)-444(Its)-334(v)56(alues)-333(are)-334(sp)-27(e)-1(ci\014ed)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG [-333(1)]TJ 0 g 0 G - [(.)]TJ 0 -13.549 Td [(Note)-333(that)-334(the)-333(strings)-333(are)-334(case)-333(insensitiv)28(e.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.55 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ + [(.)]TJ 0 -13.549 Td [(Note)-333(that)-334(the)-333(strings)-333(are)-334(case)-333(insensitiv)28(e.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.55 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(8)]TJ 0 g 0 G [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ -51.949 -32.96 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(previous)-380(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.936 -13.549 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 117.454 -25.505 Td [(call)-525(mld_precinit\050p,ptype,info\051)]TJ +/F45 10.9091 Tf 117.454 -25.505 Td [(call)-525(mld_precinit\050p,ptype,info\051)]TJ 0 g 0 G 0 g 0 G ET @@ -3306,14 +3310,14 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(23)]TJ 0 g 0 G /F17 11.9552 Tf -401.542 -35.866 Td [(6.2)-1125(Subroutine)-375(set)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 77.363 -20.594 Td [(call)-525(p%set\050what,val,info)-525([,ilev,)-525(ilmax,)-525(pos]\051)]TJ/F15 10.9091 Tf -77.363 -24.369 Td [(This)-454(routine)-454(sets)-454(the)-453(parameters)-454(de\014ning)-454(the)-454(preconditioner)]TJ/F44 10.9091 Tf 301.822 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(.)-806(More)-454(precisely)84(,)-484(the)]TJ -307.549 -13.549 Td [(parameter)-333(iden)27(ti)1(\014ed)-334(b)28(y)]TJ/F44 10.9091 Tf 114.909 0 Td [(what)]TJ/F15 10.9091 Tf 26.546 0 Td [(is)-333(assigned)-334(the)-333(v)56(alue)-334(con)28(tained)-333(in)]TJ/F44 10.9091 Tf 163.212 0 Td [(val)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)]TJ/F17 11.9552 Tf -321.848 -33.873 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -15.605 Td [(what)-2114(character\050len=*\051)]TJ/F15 10.9091 Tf 137.606 0 Td [(.)]TJ -91.635 -13.549 Td [(The)-262(parameter)-263(to)-262(b)-28(e)-262(set.)-421(It)-262(can)-262(b)-28(e)-263(sp)-27(eci\014ed)-263(through)-262(its)-262(name;)-286(the)-262(s)-1(tr)1(ing)]TJ 0 -13.549 Td [(is)-333(case-)-1(in)1(s)-1(ensiti)1(v)27(e.)-444(See)-334(T)84(ables)]TJ +/F45 10.9091 Tf 77.363 -20.594 Td [(call)-525(p%set\050what,val,info)-525([,ilev,)-525(ilmax,)-525(pos]\051)]TJ/F15 10.9091 Tf -77.363 -24.369 Td [(This)-454(routine)-454(sets)-454(the)-453(parameters)-454(de\014ning)-454(the)-454(preconditioner)]TJ/F45 10.9091 Tf 301.822 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(.)-806(More)-454(precisely)84(,)-484(the)]TJ -307.549 -13.549 Td [(parameter)-333(iden)27(ti)1(\014ed)-334(b)28(y)]TJ/F45 10.9091 Tf 114.909 0 Td [(what)]TJ/F15 10.9091 Tf 26.546 0 Td [(is)-333(assigned)-334(the)-333(v)56(alue)-334(con)28(tained)-333(in)]TJ/F45 10.9091 Tf 163.212 0 Td [(val)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)]TJ/F17 11.9552 Tf -321.848 -33.873 Td [(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.605 Td [(what)-2114(character\050len=*\051)]TJ/F15 10.9091 Tf 137.606 0 Td [(.)]TJ -91.635 -13.549 Td [(The)-262(parameter)-263(to)-262(b)-28(e)-262(set.)-421(It)-262(can)-262(b)-28(e)-263(sp)-27(eci\014ed)-263(through)-262(its)-262(name;)-286(the)-262(s)-1(tr)1(ing)]TJ 0 -13.549 Td [(is)-333(case-)-1(in)1(s)-1(ensiti)1(v)27(e.)-444(See)-334(T)84(ables)]TJ 0 0 1 rg 0 0 1 RG [-334(2)]TJ 0 g 0 G @@ -3321,7 +3325,7 @@ BT 0 0 1 rg 0 0 1 RG [(8)]TJ 0 g 0 G - [(.)]TJ/F44 10.9091 Tf -45.971 -13.55 Td [(val)-2639(integer)]TJ/F18 10.9091 Tf 105.137 0 Td [(or)]TJ/F44 10.9091 Tf 30.424 0 Td [(character\050len=*\051)]TJ/F18 10.9091 Tf 110.711 0 Td [(or)]TJ/F44 10.9091 Tf 30.425 0 Td [(real\050psb_spk_\051)]TJ/F18 10.9091 Tf 99.256 0 Td [(or)]TJ/F44 10.9091 Tf -329.982 -13.549 Td [(real\050psb_dpk_\051)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)]TJ/F44 10.9091 Tf 6.667 0 Td [(intent\050in\051)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)]TJ -144.12 -13.549 Td [(The)-306(v)56(alue)-306(of)-305(the)-306(parameter)-306(to)-305(b)-28(e)-306(set.)-435(The)-306(list)-305(of)-306(allo)28(w)28(e)-1(d)-305(v)55(alu)1(e)-1(s)-305(and)-306(the)]TJ 0 -13.549 Td [(corresp)-28(onding)-391(data)-392(t)28(yp)-28(es)-391(is)-392(giv)28(en)-391(in)-392(T)84(ables)]TJ + [(.)]TJ/F45 10.9091 Tf -45.971 -13.55 Td [(val)-2639(integer)]TJ/F18 10.9091 Tf 105.137 0 Td [(or)]TJ/F45 10.9091 Tf 30.424 0 Td [(character\050len=*\051)]TJ/F18 10.9091 Tf 110.711 0 Td [(or)]TJ/F45 10.9091 Tf 30.425 0 Td [(real\050psb_spk_\051)]TJ/F18 10.9091 Tf 99.256 0 Td [(or)]TJ/F45 10.9091 Tf -329.982 -13.549 Td [(real\050psb_dpk_\051)]TJ/F15 10.9091 Tf 80.181 0 Td [(,)]TJ/F45 10.9091 Tf 6.667 0 Td [(intent\050in\051)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)]TJ -144.12 -13.549 Td [(The)-306(v)56(alue)-306(of)-305(the)-306(parameter)-306(to)-305(b)-28(e)-306(set.)-435(The)-306(list)-305(of)-306(allo)28(w)28(e)-1(d)-305(v)55(alu)1(e)-1(s)-305(and)-306(the)]TJ 0 -13.549 Td [(corresp)-28(onding)-391(data)-392(t)28(yp)-28(es)-391(is)-392(giv)28(en)-391(in)-392(T)84(ables)]TJ 0 0 1 rg 0 0 1 RG [-392(2)]TJ 0 g 0 G @@ -3329,11 +3333,11 @@ BT 0 0 1 rg 0 0 1 RG [(8)]TJ 0 g 0 G - [(.)-619(When)-391(the)-392(v)56(alue)-392(is)-391(of)]TJ 0 -13.549 Td [(t)28(yp)-28(e)]TJ/F44 10.9091 Tf 24.546 0 Td [(character\050len=*\051)]TJ/F15 10.9091 Tf 91.635 0 Td [(,)-333(it)-334(is)-333(also)-333(treated)-334(as)-333(case)-333(inse)-1(n)1(s)-1(i)1(tiv)27(e.)]TJ/F44 10.9091 Tf -162.152 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ + [(.)-619(When)-391(the)-392(v)56(alue)-392(is)-391(of)]TJ 0 -13.549 Td [(t)28(yp)-28(e)]TJ/F45 10.9091 Tf 24.546 0 Td [(character\050len=*\051)]TJ/F15 10.9091 Tf 91.635 0 Td [(,)-333(it)-334(is)-333(also)-333(treated)-334(as)-333(case)-333(inse)-1(n)1(s)-1(i)1(tiv)27(e.)]TJ/F45 10.9091 Tf -162.152 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(8)]TJ 0 g 0 G - [-333(for)-334(details.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(ilev)-2114(integer,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.549 Td [(F)83(or)-306(the)-307(m)28(ulti-lev)28(el)-307(preconditioner,)-311(the)-307(lev)28(el)-307(at)-306(whic)27(h)-306(the)-307(preconditioner)]TJ 0 -13.549 Td [(parameter)-404(has)-404(to)-404(b)-27(e)-404(set.)-656(T)-1(h)1(e)-404(lev)27(els)-404(are)-403(n)27(um)28(b)-28(ered)-403(in)-404(increasing)-404(order)]TJ 0 -13.55 Td [(starting)-307(from)-307(the)-306(\014nest)-307(one,)-312(i.e.,)-313(lev)28(el)-307(1)-307(i)1(s)-307(the)-307(\014nest)-307(lev)28(el.)-436(If)]TJ/F44 10.9091 Tf 287.463 0 Td [(ilev)]TJ/F15 10.9091 Tf 26.256 0 Td [(is)-307(not)]TJ -313.719 -13.549 Td [(presen)28(t,)-419(the)-402(parameter)-402(iden)27(ti\014ed)-402(b)28(y)]TJ/F44 10.9091 Tf 178.631 0 Td [(what)]TJ/F15 10.9091 Tf 27.295 0 Td [(is)-402(set)-402(at)-402(all)-402(the)-402(appropriate)]TJ -205.926 -13.549 Td [(lev)28(els)-334(\050see)-333(T)83(ables)]TJ + [-333(for)-334(details.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(ilev)-2114(integer,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.549 Td [(F)83(or)-306(the)-307(m)28(ulti-lev)28(el)-307(preconditioner,)-311(the)-307(lev)28(el)-307(at)-306(whic)27(h)-306(the)-307(preconditioner)]TJ 0 -13.549 Td [(parameter)-404(has)-404(to)-404(b)-27(e)-404(set.)-656(T)-1(h)1(e)-404(lev)27(els)-404(are)-403(n)27(um)28(b)-28(ered)-403(in)-404(increasing)-404(order)]TJ 0 -13.55 Td [(starting)-307(from)-307(the)-306(\014nest)-307(one,)-312(i.e.,)-313(lev)28(el)-307(1)-307(i)1(s)-307(the)-307(\014nest)-307(lev)28(el.)-436(If)]TJ/F45 10.9091 Tf 287.463 0 Td [(ilev)]TJ/F15 10.9091 Tf 26.256 0 Td [(is)-307(not)]TJ -313.719 -13.549 Td [(presen)28(t,)-419(the)-402(parameter)-402(iden)27(ti\014ed)-402(b)28(y)]TJ/F45 10.9091 Tf 178.631 0 Td [(what)]TJ/F15 10.9091 Tf 27.295 0 Td [(is)-402(set)-402(at)-402(all)-402(the)-402(appropriate)]TJ -205.926 -13.549 Td [(lev)28(els)-334(\050see)-333(T)83(ables)]TJ 0 0 1 rg 0 0 1 RG [-333(2)]TJ 0 g 0 G @@ -3341,10 +3345,10 @@ BT 0 0 1 rg 0 0 1 RG [(8)]TJ 0 g 0 G - [(\051.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(ilmax)-1589(integer,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.549 Td [(F)83(or)-572(the)-572(m)28(ulti-lev)28(el)-572(preconditioner,)-632(when)-572(b)-28(oth)]TJ/F44 10.9091 Tf 237.737 0 Td [(ilev)]TJ/F15 10.9091 Tf 29.15 0 Td [(and)]TJ/F44 10.9091 Tf 23.817 0 Td [(ilmax)]TJ/F15 10.9091 Tf 34.878 0 Td [(are)]TJ -325.582 -13.549 Td [(presen)28(t,)-393(the)-381(settings)-380(are)-381(applied)-381(at)-381(all)-380(lev)27(els)]TJ/F44 10.9091 Tf 218.209 0 Td [(ilev:ilmax)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)-587(When)]TJ/F44 10.9091 Tf 41.768 0 Td [(ilev)]TJ/F15 10.9091 Tf -317.249 -13.55 Td [(is)-341(presen)28(t)-341(but)]TJ/F44 10.9091 Tf 69.19 0 Td [(ilmax)]TJ/F15 10.9091 Tf 32.355 0 Td [(is)-341(not,)-343(then)-341(the)-341(default)-341(is)]TJ/F44 10.9091 Tf 125.189 0 Td [(ilmax=ilev)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)-467(The)-341(lev)27(els)]TJ -284.006 -13.549 Td [(are)-331(n)28(um)27(b)-27(ered)-332(in)-331(increasing)-331(order)-331(starting)-332(from)-331(the)-331(\014nest)-331(one,)-332(i.e.,)-332(lev)28(el)]TJ 0 -13.549 Td [(1)-333(is)-334(the)-333(\014nest)-333(lev)27(el.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(pos)-2639(charater\050len=*\051,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 257.878 0 Td [(.)]TJ -211.907 -13.549 Td [(Whether)-256(the)-255(other)-256(argumen)28(ts)-256(app)1(ly)-256(only)-256(to)-255(the)-256(pre-smo)-28(other)-255(\050)]TJ/F44 10.9091 Tf 294.764 0 Td [('PRE')]TJ/F15 10.9091 Tf 28.636 0 Td [(\051)-256(or)]TJ -323.4 -13.55 Td [(to)-223(the)-223(p)-27(ost-smo)-28(other)-223(\050)]TJ/F44 10.9091 Tf 104.413 0 Td [('POST')]TJ/F15 10.9091 Tf 34.363 0 Td [(\051.)-223(If)]TJ/F44 10.9091 Tf 19.406 0 Td [(pos)]TJ/F15 10.9091 Tf 19.612 0 Td [(is)-223(not)-223(presen)28(t,)-245(the)-222(other)-223(argumen)28(ts)]TJ -177.794 -13.549 Td [(are)-349(applied)-349(to)-349(b)-28(oth)-349(smo)-28(others.)-492(If)-349(the)-349(preconditioner)-349(is)-350(one-lev)28(el)-349(or)-349(the)]TJ 0 -13.549 Td [(parameter)-447(iden)28(ti\014ed)-448(b)28(y)]TJ/F44 10.9091 Tf 118.636 0 Td [(what)]TJ/F15 10.9091 Tf 27.788 0 Td [(do)-28(es)-447(not)-447(concern)-447(the)-448(smo)-27(others,)]TJ/F44 10.9091 Tf 164.34 0 Td [(pos)]TJ/F15 10.9091 Tf 22.06 0 Td [(is)]TJ -332.824 -13.549 Td [(ignored.)]TJ -51.948 -32.961 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(pr)1(e)-1(viou)1(s)-381(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.937 -13.549 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ + [(\051.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(ilmax)-1589(integer,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.549 Td [(F)83(or)-572(the)-572(m)28(ulti-lev)28(el)-572(preconditioner,)-632(when)-572(b)-28(oth)]TJ/F45 10.9091 Tf 237.737 0 Td [(ilev)]TJ/F15 10.9091 Tf 29.15 0 Td [(and)]TJ/F45 10.9091 Tf 23.817 0 Td [(ilmax)]TJ/F15 10.9091 Tf 34.878 0 Td [(are)]TJ -325.582 -13.549 Td [(presen)28(t,)-393(the)-381(settings)-380(are)-381(applied)-381(at)-381(all)-380(lev)27(els)]TJ/F45 10.9091 Tf 218.209 0 Td [(ilev:ilmax)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)-587(When)]TJ/F45 10.9091 Tf 41.768 0 Td [(ilev)]TJ/F15 10.9091 Tf -317.249 -13.55 Td [(is)-341(presen)28(t)-341(but)]TJ/F45 10.9091 Tf 69.19 0 Td [(ilmax)]TJ/F15 10.9091 Tf 32.355 0 Td [(is)-341(not,)-343(then)-341(the)-341(default)-341(is)]TJ/F45 10.9091 Tf 125.189 0 Td [(ilmax=ilev)]TJ/F15 10.9091 Tf 57.272 0 Td [(.)-467(The)-341(lev)27(els)]TJ -284.006 -13.549 Td [(are)-331(n)28(um)27(b)-27(ered)-332(in)-331(increasing)-331(order)-331(starting)-332(from)-331(the)-331(\014nest)-331(one,)-332(i.e.,)-332(lev)28(el)]TJ 0 -13.549 Td [(1)-333(is)-334(the)-333(\014nest)-333(lev)27(el.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(pos)-2639(charater\050len=*\051,)-525(optional,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 257.878 0 Td [(.)]TJ -211.907 -13.549 Td [(Whether)-256(the)-255(other)-256(argumen)28(ts)-256(app)1(ly)-256(only)-256(to)-255(the)-256(pre-smo)-28(other)-255(\050)]TJ/F45 10.9091 Tf 294.764 0 Td [('PRE')]TJ/F15 10.9091 Tf 28.636 0 Td [(\051)-256(or)]TJ -323.4 -13.55 Td [(to)-223(the)-223(p)-27(ost-smo)-28(other)-223(\050)]TJ/F45 10.9091 Tf 104.413 0 Td [('POST')]TJ/F15 10.9091 Tf 34.363 0 Td [(\051.)-223(If)]TJ/F45 10.9091 Tf 19.406 0 Td [(pos)]TJ/F15 10.9091 Tf 19.612 0 Td [(is)-223(not)-223(presen)28(t,)-245(the)-222(other)-223(argumen)28(ts)]TJ -177.794 -13.549 Td [(are)-349(applied)-349(to)-349(b)-28(oth)-349(smo)-28(others.)-492(If)-349(the)-349(preconditioner)-349(is)-350(one-lev)28(el)-349(or)-349(the)]TJ 0 -13.549 Td [(parameter)-447(iden)28(ti\014ed)-448(b)28(y)]TJ/F45 10.9091 Tf 118.636 0 Td [(what)]TJ/F15 10.9091 Tf 27.788 0 Td [(do)-28(es)-447(not)-447(concern)-447(the)-448(smo)-27(others,)]TJ/F45 10.9091 Tf 164.34 0 Td [(pos)]TJ/F15 10.9091 Tf 22.06 0 Td [(is)]TJ -332.824 -13.549 Td [(ignored.)]TJ -51.948 -32.961 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(pr)1(e)-1(viou)1(s)-381(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.937 -13.549 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 111.727 -24.369 Td [(call)-525(mld_precset\050p,what,val,info\051)]TJ/F15 10.9091 Tf -111.727 -24.369 Td [(Ho)28(w)28(e)-1(v)28(er,)-333(in)-333(this)-334(case)-333(the)-333(optional)-334(argumen)28(ts)]TJ/F44 10.9091 Tf 218.425 0 Td [(ilev)]TJ/F15 10.9091 Tf 22.908 0 Td [(,)]TJ/F44 10.9091 Tf 6.667 0 Td [(ilmax)]TJ/F15 10.9091 Tf 28.636 0 Td [(,)-333(and)]TJ/F44 10.9091 Tf 27.879 0 Td [(pos)]TJ/F15 10.9091 Tf 20.818 0 Td [(cannot)-333(b)-28(e)-333(used.)]TJ +/F45 10.9091 Tf 111.727 -24.369 Td [(call)-525(mld_precset\050p,what,val,info\051)]TJ/F15 10.9091 Tf -111.727 -24.369 Td [(Ho)28(w)28(e)-1(v)28(er,)-333(in)-333(this)-334(case)-333(the)-333(optional)-334(argumen)28(ts)]TJ/F45 10.9091 Tf 218.425 0 Td [(ilev)]TJ/F15 10.9091 Tf 22.908 0 Td [(,)]TJ/F45 10.9091 Tf 6.667 0 Td [(ilmax)]TJ/F15 10.9091 Tf 28.636 0 Td [(,)-333(and)]TJ/F45 10.9091 Tf 27.879 0 Td [(pos)]TJ/F15 10.9091 Tf 20.818 0 Td [(cannot)-333(b)-28(e)-333(used.)]TJ 0 g 0 G 0 g 0 G ET @@ -3358,7 +3362,7 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(24)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(24)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F15 10.9091 Tf -186.329 -35.866 Td [(A)-417(v)56(ariet)27(y)-417(of)-417(preconditioners)-417(can)-417(b)-28(e)-417(obtained)-417(b)28(y)-417(a)-417(suitable)-417(setting)-417(of)-417(the)-417(precon-)]TJ -16.936 -13.549 Td [(ditioner)-381(p)1(arame)-1(ters.)-586(These)-381(parameters)-381(can)-380(b)-28(e)-381(logically)-380(divided)-381(in)28(to)-381(four)-380(groups,)-393(i.e.,)]TJ 0 -13.549 Td [(parameters)-333(de\014ning)]TJ 0 g 0 G @@ -3388,7 +3392,7 @@ BT 0 0 1 rg 0 0 1 RG [-333(4)]TJ 0 g 0 G - [(.)]TJ/F43 10.9091 Tf 16.936 -27.099 Td [(Remark)-361(2.)]TJ/F15 10.9091 Tf 61.979 0 Td [(A)-314(smo)-28(other)-314(is)-315(u)1(s)-1(u)1(ally)-315(obtained)-314(b)28(y)-314(com)28(bining)-315(t)28(w)28(o)-314(ob)-56(jects:)-435(a)-314(smo)-28(other)]TJ -78.915 -13.549 Td [(\050)]TJ/F44 10.9091 Tf 4.242 0 Td [(SMOOTHER_TYPE)]TJ/F15 10.9091 Tf 74.454 0 Td [(\051)-408(and)-408(a)-409(lo)-28(cal)-408(solv)28(er)-408(\050)]TJ/F44 10.9091 Tf 103.271 0 Td [(SUB_SOLVE)]TJ/F15 10.9091 Tf 51.545 0 Td [(\051,)-408(as)-409(sp)-27(e)-1(ci\014)1(e)-1(d)-408(in)-408(T)83(ables)]TJ + [(.)]TJ/F44 10.9091 Tf 16.936 -27.099 Td [(Remark)-361(2.)]TJ/F15 10.9091 Tf 61.979 0 Td [(A)-314(smo)-28(other)-314(is)-315(u)1(s)-1(u)1(ally)-315(obtained)-314(b)28(y)-314(com)28(bining)-315(t)28(w)28(o)-314(ob)-56(jects:)-435(a)-314(smo)-28(other)]TJ -78.915 -13.549 Td [(\050)]TJ/F45 10.9091 Tf 4.242 0 Td [(SMOOTHER_TYPE)]TJ/F15 10.9091 Tf 74.454 0 Td [(\051)-408(and)-408(a)-409(lo)-28(cal)-408(solv)28(er)-408(\050)]TJ/F45 10.9091 Tf 103.271 0 Td [(SUB_SOLVE)]TJ/F15 10.9091 Tf 51.545 0 Td [(\051,)-408(as)-409(sp)-27(e)-1(ci\014)1(e)-1(d)-408(in)-408(T)83(ables)]TJ 0 0 1 rg 0 0 1 RG [-408(7)]TJ 0 g 0 G @@ -3400,15 +3404,15 @@ BT 0 0 1 rg 0 0 1 RG [-297(7)]TJ 0 g 0 G - [(\051)-297(is)-296(obtained)-297(b)28(y)-297(com)28(bining)-297(the)-297(blo)-28(c)28(k-Jacobi)]TJ 0 -13.55 Td [(smo)-28(other)-321(ob)-56(ject)-321(with)-321(a)-321(single)-322(sw)28(eep)-321(of)-321(the)-322(Gauss-Seidel)-321(solv)28(er)-321(ob)-56(ject,)-324(while)-321(the)-321(p)-28(oin)28(t-)]TJ 0 -13.549 Td [(Jacobi)-433(smo)-28(other)-432(is)-433(the)-433(result)-433(of)-433(com)28(bining)-433(the)-433(bl)1(o)-28(c)27(k-Jacobi)-432(smo)-28(other)-433(ob)-56(j)1(e)-1(ct)-432(with)-433(a)]TJ 0 -13.549 Td [(single)-404(sw)28(eep)-404(of)-404(the)-404(p)-28(oin)28(t)28(wise-Jacobi)-404(solv)27(er)-404(ob)-55(ject.)-656(Ho)27(w)28(ev)28(er,)-422(for)-404(simplicit)28(y)84(,)-422(shortcuts)]TJ 0 -13.549 Td [(are)-355(pro)28(vided)-354(to)-355(set)-355(p)-27(oin)28(t-Jacobi,)-360(h)28(ybrid)-355(\050forw)28(ard\051)-355(Gauss-Seidel,)-360(an)1(d)-355(h)28(ybrid)-355(bac)28(kw)28(ard)]TJ 0 -13.549 Td [(Gauss-Seidel,)-257(i.e.,)-258(the)-238(previous)-238(smo)-28(others)-238(can)-239(b)-27(e)-239(de\014ned)-238(b)28(y)-238(se)-1(tti)1(ng)-239(only)]TJ/F44 10.9091 Tf 337.997 0 Td [(SMOOTHER_TYPE)]TJ/F15 10.9091 Tf -337.997 -13.55 Td [(to)-333(appropriate)-333(v)55(alues)-333(\050see)-334(T)84(ables)]TJ + [(\051)-297(is)-296(obtained)-297(b)28(y)-297(com)28(bining)-297(the)-297(blo)-28(c)28(k-Jacobi)]TJ 0 -13.55 Td [(smo)-28(other)-321(ob)-56(ject)-321(with)-321(a)-321(single)-322(sw)28(eep)-321(of)-321(the)-322(Gauss-Seidel)-321(solv)28(er)-321(ob)-56(ject,)-324(while)-321(the)-321(p)-28(oin)28(t-)]TJ 0 -13.549 Td [(Jacobi)-433(smo)-28(other)-432(is)-433(the)-433(result)-433(of)-433(com)28(bining)-433(the)-433(bl)1(o)-28(c)27(k-Jacobi)-432(smo)-28(other)-433(ob)-56(j)1(e)-1(ct)-432(with)-433(a)]TJ 0 -13.549 Td [(single)-404(sw)28(eep)-404(of)-404(the)-404(p)-28(oin)28(t)28(wise-Jacobi)-404(solv)27(er)-404(ob)-55(ject.)-656(Ho)27(w)28(ev)28(er,)-422(for)-404(simplicit)28(y)84(,)-422(shortcuts)]TJ 0 -13.549 Td [(are)-355(pro)28(vided)-354(to)-355(set)-355(p)-27(oin)28(t-Jacobi,)-360(h)28(ybrid)-355(\050forw)28(ard\051)-355(Gauss-Seidel,)-360(an)1(d)-355(h)28(ybrid)-355(bac)28(kw)28(ard)]TJ 0 -13.549 Td [(Gauss-Seidel,)-257(i.e.,)-258(the)-238(previous)-238(smo)-28(others)-238(can)-239(b)-27(e)-239(de\014ned)-238(b)28(y)-238(se)-1(tti)1(ng)-239(only)]TJ/F45 10.9091 Tf 337.997 0 Td [(SMOOTHER_TYPE)]TJ/F15 10.9091 Tf -337.997 -13.55 Td [(to)-333(appropriate)-333(v)55(alues)-333(\050see)-334(T)84(ables)]TJ 0 0 1 rg 0 0 1 RG [-334(7)]TJ 0 g 0 G - [(\051,)-333(i.e.,)-333(without)-334(setting)]TJ/F44 10.9091 Tf 274.242 0 Td [(SUB_SOLVE)]TJ/F15 10.9091 Tf 55.182 0 Td [(to)-28(o.)]TJ -312.488 -13.549 Td [(The)-474(smo)-28(other)-474(and)-474(solv)28(er)-474(ob)-55(jects)-474(are)-474(arranged)-474(in)-474(a)-474(hierarc)28(hical)-474(manner.)-866(When)]TJ -16.936 -13.549 Td [(sp)-28(ecifying)-314(a)-313(smo)-28(other)-314(ob)-55(jec)-1(t,)-317(its)-314(parameters,)-318(including)-313(the)-314(lo)-28(cal)-314(solv)28(er,)-318(are)-314(set)-313(to)-314(their)]TJ 0 -13.549 Td [(default)-302(v)55(alues,)-308(and)-303(when)-302(a)-302(s)-1(ol)1(v)27(er)-302(ob)-56(ject)-302(is)-303(sp)-27(eci\014ed,)-309(its)-302(defaults)-303(are)-302(also)-303(set,)-308(o)28(v)27(erriding)]TJ 0 -13.549 Td [(in)-285(b)-28(oth)-285(cases)-285(an)28(y)-286(previous)-285(settings)-285(ev)28(en)-285(if)-286(expli)1(c)-1(it)1(ly)-286(sp)-27(ec)-1(i)1(\014ed.)-429(Therefore)-285(if)-285(the)-285(user)-285(s)-1(ets)]TJ 0 -13.549 Td [(a)-297(smo)-28(other,)-305(and)-297(wishes)-297(to)-298(use)-297(a)-297(solv)27(er)-297(di\013eren)28(t)-297(from)-298(the)-297(default)-297(one,)-305(the)-297(call)-297(to)-298(set)-297(the)]TJ 0 -13.55 Td [(solv)28(er)-334(m)28(ust)-333(come)]TJ/F18 10.9091 Tf 85.909 0 Td [(after)]TJ/F15 10.9091 Tf 26.974 0 Td [(the)-333(call)-334(to)-333(set)-333(the)-334(smo)-28(other.)]TJ -95.947 -13.549 Td [(Similar)-498(considerations)-498(apply)-498(to)-498(the)-498(p)-28(oin)28(t-Jacobi,)-540(Gauss-Seidel)-498(and)-498(blo)-28(c)28(k-Jacobi)]TJ -16.936 -13.549 Td [(coarsest-lev)28(el)-334(solv)28(ers,)-333(and)-334(shortcuts)-333(are)-333(a)28(v)55(ailable)-333(in)-333(this)-334(case)-333(to)-28(o)-333(\050see)-334(T)84(able)]TJ + [(\051,)-333(i.e.,)-333(without)-334(setting)]TJ/F45 10.9091 Tf 274.242 0 Td [(SUB_SOLVE)]TJ/F15 10.9091 Tf 55.182 0 Td [(to)-28(o.)]TJ -312.488 -13.549 Td [(The)-474(smo)-28(other)-474(and)-474(solv)28(er)-474(ob)-55(jects)-474(are)-474(arranged)-474(in)-474(a)-474(hierarc)28(hical)-474(manner.)-866(When)]TJ -16.936 -13.549 Td [(sp)-28(ecifying)-314(a)-313(smo)-28(other)-314(ob)-55(jec)-1(t,)-317(its)-314(parameters,)-318(including)-313(the)-314(lo)-28(cal)-314(solv)28(er,)-318(are)-314(set)-313(to)-314(their)]TJ 0 -13.549 Td [(default)-302(v)55(alues,)-308(and)-303(when)-302(a)-302(s)-1(ol)1(v)27(er)-302(ob)-56(ject)-302(is)-303(sp)-27(eci\014ed,)-309(its)-302(defaults)-303(are)-302(also)-303(set,)-308(o)28(v)27(erriding)]TJ 0 -13.549 Td [(in)-285(b)-28(oth)-285(cases)-285(an)28(y)-286(previous)-285(settings)-285(ev)28(en)-285(if)-286(expli)1(c)-1(it)1(ly)-286(sp)-27(ec)-1(i)1(\014ed.)-429(Therefore)-285(if)-285(the)-285(user)-285(s)-1(ets)]TJ 0 -13.549 Td [(a)-297(smo)-28(other,)-305(and)-297(wishes)-297(to)-298(use)-297(a)-297(solv)27(er)-297(di\013eren)28(t)-297(from)-298(the)-297(default)-297(one,)-305(the)-297(call)-297(to)-298(set)-297(the)]TJ 0 -13.55 Td [(solv)28(er)-334(m)28(ust)-333(come)]TJ/F18 10.9091 Tf 85.909 0 Td [(after)]TJ/F15 10.9091 Tf 26.974 0 Td [(the)-333(call)-334(to)-333(set)-333(the)-334(smo)-28(other.)]TJ -95.947 -13.549 Td [(Similar)-498(considerations)-498(apply)-498(to)-498(the)-498(p)-28(oin)28(t-Jacobi,)-540(Gauss-Seidel)-498(and)-498(blo)-28(c)28(k-Jacobi)]TJ -16.936 -13.549 Td [(coarsest-lev)28(el)-334(solv)28(ers,)-333(and)-334(shortcuts)-333(are)-333(a)28(v)55(ailable)-333(in)-333(this)-334(case)-333(to)-28(o)-333(\050see)-334(T)84(able)]TJ 0 0 1 rg 0 0 1 RG [-334(5)]TJ 0 g 0 G - 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93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(25)]TJ 0 g 0 G @@ -3462,7 +3466,7 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(26)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(26)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G 0 g 0 G ET @@ -3482,35 +3486,35 @@ q Q 1 0 0 1 -292.625 -715.095 cm BT -/F44 10.9091 Tf 298.603 792.29 Td [(what)]TJ +/F45 10.9091 Tf 298.603 792.29 Td [(what)]TJ ET q 1 0 0 1 406.628 788.225 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 412.605 792.29 Td [(d)22(a)67(t)66(a)-377(type)]TJ +/F42 10.9091 Tf 412.605 792.29 Td [(d)22(a)67(t)66(a)-377(type)]TJ ET q 1 0 0 1 510.218 788.225 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 516.196 792.29 Td [(val)]TJ +/F45 10.9091 Tf 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428.31 184.967 Td [(integer)]TJ +/F45 10.9091 Tf 428.31 184.967 Td [(integer)]TJ ET q 1 0 0 1 521.055 153.804 cm @@ -3829,35 +3833,35 @@ q []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 305.803 143.921 Td [('PAR_AGGR')]TJ +/F45 10.9091 Tf 305.803 143.921 Td [('PAR_AGGR')]TJ ET q 1 0 0 1 422.332 85.66 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 428.31 143.921 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 428.31 143.921 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 521.055 85.66 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 527.032 143.921 Td [('DEC')]TJ/F15 10.9091 Tf 28.637 0 Td [(,)]TJ/F44 10.9091 Tf -28.637 -13.549 Td [('SYMDEC')]TJ +/F45 10.9091 Tf 527.032 143.921 Td [('DEC')]TJ/F15 10.9091 Tf 28.637 0 Td [(,)]TJ/F45 10.9091 Tf -28.637 -13.549 Td [('SYMDEC')]TJ ET q 1 0 0 1 598.207 85.66 cm []0 d 0 J 0.398 w 0 0 m 0 67.746 l S Q BT -/F44 10.9091 Tf 604.185 143.921 Td [('DEC')]TJ +/F45 10.9091 Tf 604.185 143.921 Td [('DEC')]TJ ET q 1 0 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Td [(28)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(28)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G 0 g 0 G ET @@ -4035,35 +4039,35 @@ q Q 1 0 0 1 -292.625 -715.095 cm BT -/F44 10.9091 Tf 298.603 813.618 Td [(what)]TJ +/F45 10.9091 Tf 298.603 813.618 Td [(what)]TJ ET q 1 0 0 1 412.297 809.553 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 418.275 813.618 Td [(d)22(a)67(t)67(a)-378(type)]TJ +/F42 10.9091 Tf 418.275 813.618 Td [(d)22(a)67(t)67(a)-378(type)]TJ ET q 1 0 0 1 531.27 809.553 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 537.248 813.618 Td [(val)]TJ +/F45 10.9091 Tf 537.248 813.618 Td [(val)]TJ ET q 1 0 0 1 614.092 809.553 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 620.069 813.618 Td [(def)89(a)22(ul)67(t)]TJ +/F42 10.9091 Tf 620.069 813.618 Td [(def)89(a)22(ul)67(t)]TJ ET q 1 0 0 1 691.244 809.553 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 697.221 813.618 Td [(comments)]TJ +/F42 10.9091 Tf 697.221 813.618 Td [(comments)]TJ ET q 1 0 0 1 891.361 809.553 cm @@ -4078,28 +4082,28 @@ q []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 298.603 799.671 Td [('AGGR_ORD')]TJ +/F45 10.9091 Tf 298.603 799.671 Td [('AGGR_ORD')]TJ ET q 1 0 0 1 412.297 754.958 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 418.275 799.671 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 418.275 799.671 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 531.27 754.958 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 537.248 799.671 Td [('NATURAL')]TJ 0 -13.55 Td [('DEGREE')]TJ +/F45 10.9091 Tf 537.248 799.671 Td [('NATURAL')]TJ 0 -13.55 Td [('DEGREE')]TJ ET q 1 0 0 1 614.092 754.958 cm []0 d 0 J 0.398 w 0 0 m 0 54.197 l S Q BT -/F44 10.9091 Tf 620.069 799.671 Td [('NATURAL')]TJ +/F45 10.9091 Tf 620.069 799.671 Td [('NATURAL')]TJ ET q 1 0 0 1 691.244 754.958 cm @@ -4121,21 +4125,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 298.603 745.075 Td [('AGGR_THRESH')]TJ +/F45 10.9091 Tf 298.603 745.075 Td [('AGGR_THRESH')]TJ ET q 1 0 0 1 412.297 713.912 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 418.275 745.075 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ +/F45 10.9091 Tf 418.275 745.075 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ ET q 1 0 0 1 467.652 745.275 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 470.998 745.075 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051)]TJ +/F18 10.9091 Tf 470.998 745.075 Td [(p)51(ar)51(ameter)]TJ/F45 10.9091 Tf 48.568 0 Td [(\051)]TJ ET q 1 0 0 1 531.27 713.912 cm @@ -4179,28 +4183,28 @@ q []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 298.603 704.029 Td [('AGGR_FILTER')]TJ +/F45 10.9091 Tf 298.603 704.029 Td [('AGGR_FILTER')]TJ ET q 1 0 0 1 412.297 672.866 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 418.275 704.029 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 418.275 704.029 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 531.27 672.866 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 537.248 704.029 Td [('FILTER')]TJ 0 -13.549 Td [('NOFILTER')]TJ +/F45 10.9091 Tf 537.248 704.029 Td [('FILTER')]TJ 0 -13.549 Td [('NOFILTER')]TJ ET q 1 0 0 1 614.092 672.866 cm []0 d 0 J 0.398 w 0 0 m 0 40.648 l S Q BT -/F44 10.9091 Tf 620.069 704.029 Td [('NOFILTER')]TJ +/F45 10.9091 Tf 620.069 704.029 Td [('NOFILTER')]TJ ET q 1 0 0 1 691.244 672.866 cm @@ -4230,7 +4234,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F43 10.9091 Tf 298.603 662.983 Td [(Note.)]TJ/F15 10.9091 Tf 35.053 0 Td [(Di\013eren)28(t)-334(th)1(res)-1(h)1(olds)-334(at)-333(di\013eren)28(t)-334(lev)28(els,)-333(suc)27(h)-333(as)-333(those)-334(used)-333(in)-333([)]TJ +/F44 10.9091 Tf 298.603 662.983 Td [(Note.)]TJ/F15 10.9091 Tf 35.053 0 Td [(Di\013eren)28(t)-334(th)1(res)-1(h)1(olds)-334(at)-333(di\013eren)28(t)-334(lev)28(els,)-333(suc)27(h)-333(as)-333(those)-334(used)-333(in)-333([)]TJ 1 0 0 rg 1 0 0 RG [(25)]TJ 0 g 0 G @@ -4245,7 +4249,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F15 10.9091 Tf 298.603 649.434 Td [(tine)]TJ/F44 10.9091 Tf 21.818 0 Td [(set)]TJ/F15 10.9091 Tf 20.818 0 Td [(with)-333(the)-334(parameter)]TJ/F44 10.9091 Tf 95.818 0 Td [(ilev)]TJ/F15 10.9091 Tf 22.909 0 Td [(.)]TJ +/F15 10.9091 Tf 298.603 649.434 Td [(tine)]TJ/F45 10.9091 Tf 21.818 0 Td [(set)]TJ/F15 10.9091 Tf 20.818 0 Td [(with)-333(the)-334(parameter)]TJ/F45 10.9091 Tf 95.818 0 Td [(ilev)]TJ/F15 10.9091 Tf 22.909 0 Td [(.)]TJ ET q 1 0 0 1 891.361 645.369 cm @@ -4277,7 +4281,7 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(29)]TJ 0 g 0 G @@ -4299,35 +4303,35 @@ q Q 1 0 0 1 -299.826 -121.521 cm BT -/F44 10.9091 Tf 305.803 300.733 Td [(what)]TJ +/F45 10.9091 Tf 305.803 300.733 Td [(what)]TJ ET q 1 0 0 1 422.332 296.668 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 428.31 300.733 Td [(d)22(a)67(t)67(a)-378(type)]TJ +/F42 10.9091 Tf 428.31 300.733 Td [(d)22(a)67(t)67(a)-378(type)]TJ ET q 1 0 0 1 525.922 296.668 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 531.9 300.733 Td [(val)]TJ +/F45 10.9091 Tf 531.9 300.733 Td [(val)]TJ ET q 1 0 0 1 586.067 296.668 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 592.044 300.733 Td [(def)89(a)22(ul)67(t)]TJ +/F42 10.9091 Tf 592.044 300.733 Td [(def)89(a)22(ul)67(t)]TJ ET q 1 0 0 1 646.211 296.668 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 652.188 300.733 Td [(comments)]TJ +/F42 10.9091 Tf 652.188 300.733 Td [(comments)]TJ ET q 1 0 0 1 901.945 296.668 cm @@ -4342,28 +4346,28 @@ q []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 305.803 286.785 Td [('COARSE_MAT')]TJ +/F45 10.9091 Tf 305.803 286.785 Td [('COARSE_MAT')]TJ ET q 1 0 0 1 422.332 269.171 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 428.31 286.785 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 428.31 286.785 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 525.922 269.171 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 531.9 286.785 Td [('DIST')]TJ 0 -13.549 Td [('REPL')]TJ +/F45 10.9091 Tf 531.9 286.785 Td [('DIST')]TJ 0 -13.549 Td [('REPL')]TJ ET q 1 0 0 1 586.067 269.171 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 592.044 286.785 Td [('REPL')]TJ +/F45 10.9091 Tf 592.044 286.785 Td [('REPL')]TJ ET q 1 0 0 1 646.211 269.171 cm @@ -4385,21 +4389,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 176.14 l S Q BT -/F44 10.9091 Tf 305.803 259.288 Td [('COARSE_SOLVE')]TJ +/F45 10.9091 Tf 305.803 259.288 Td [('COARSE_SOLVE')]TJ ET q 1 0 0 1 422.332 92.633 cm []0 d 0 J 0.398 w 0 0 m 0 176.14 l S Q BT -/F44 10.9091 Tf 428.31 259.288 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 428.31 259.288 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 525.922 92.633 cm []0 d 0 J 0.398 w 0 0 m 0 176.14 l S Q BT -/F44 10.9091 Tf 531.9 259.288 Td [('MUMPS')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.549 Td [('SLUDIST')]TJ 0 -13.549 Td [('JACOBI')]TJ 0 -13.549 Td [('GS')]TJ 0 -13.55 Td [('BJAC')]TJ +/F45 10.9091 Tf 531.9 259.288 Td [('MUMPS')]TJ 0 -13.549 Td [('UMF')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.549 Td [('SLUDIST')]TJ 0 -13.549 Td [('JACOBI')]TJ 0 -13.549 Td [('GS')]TJ 0 -13.55 Td [('BJAC')]TJ ET q 1 0 0 1 586.067 92.633 cm @@ -4420,7 +4424,7 @@ q []0 d 0 J 0.398 w 0 0 m 3.273 0 l S Q BT -/F15 10.9091 Tf 698.722 218.641 Td [(Dist)-319(\050plus)-319(triangular)-319(solv)28(e\051;)-324(p)-28(oin)28(t-Jacobi,)]TJ -46.534 -13.549 Td [(h)28(ybrid)-333(Gauss-Seidel)-334(or)-333(blo)-28(c)28(k-Jacobi.)]TJ 0 -13.549 Td [(Note)-359(that)]TJ/F44 10.9091 Tf 50.551 0 Td [(UMF)]TJ/F15 10.9091 Tf 21.094 0 Td [(and)]TJ/F44 10.9091 Tf 21.487 0 Td [(SLU)]TJ/F15 10.9091 Tf 21.094 0 Td [(require)-359(t)1(he)-359(coarsest)-359(matrix)]TJ -114.226 -13.55 Td [(to)-320(b)-27(e)-320(replicated,)]TJ/F44 10.9091 Tf 81.13 0 Td [(SLUDIST)]TJ/F15 10.9091 Tf 40.09 0 Td [(,)]TJ/F44 10.9091 Tf 6.519 0 Td [(JACOBI)]TJ/F15 10.9091 Tf 34.363 0 Td [(,)]TJ/F44 10.9091 Tf 6.518 0 Td [(GS)]TJ/F15 10.9091 Tf 14.942 0 Td [(and)]TJ/F44 10.9091 Tf 21.064 0 Td [(BJAC)]TJ/F15 10.9091 Tf 26.396 0 Td [(re-)]TJ -231.022 -13.549 Td [(quire)-382(it)-383(to)-382(b)-28(e)-383(distributed,)]TJ/F44 10.9091 Tf 128.392 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.809 0 Td [(can)-382(b)-28(e)-383(used)-382(with)]TJ -161.201 -13.549 Td [(either)-407(a)-406(replicated)-407(or)-407(a)-406(distributed)-407(matrix.)-664(When)]TJ 0 -13.549 Td [(an)28(y)-385(of)-384(the)-384(previous)-385(solv)28(ers)-384(is)-385(sp)-28(eci\014ed,)-397(the)-384(matrix)]TJ 0 -13.549 Td [(la)28(y)28(out)-313(is)-313(set)-313(to)-313(a)-313(default)-313(v)55(alue)-313(whic)28(h)-313(allo)28(ws)-313(the)-313(use)]TJ 0 -13.55 Td [(v)56(alue)-429(UMFP)84(A)27(CK)-428(and)-428(Sup)-28(erLU)]TJ +/F15 10.9091 Tf 698.722 218.641 Td [(Dist)-319(\050plus)-319(triangular)-319(solv)28(e\051;)-324(p)-28(oin)28(t-Jacobi,)]TJ -46.534 -13.549 Td [(h)28(ybrid)-333(Gauss-Seidel)-334(or)-333(blo)-28(c)28(k-Jacobi.)]TJ 0 -13.549 Td [(Note)-359(that)]TJ/F45 10.9091 Tf 50.551 0 Td [(UMF)]TJ/F15 10.9091 Tf 21.094 0 Td [(and)]TJ/F45 10.9091 Tf 21.487 0 Td [(SLU)]TJ/F15 10.9091 Tf 21.094 0 Td [(require)-359(t)1(he)-359(coarsest)-359(matrix)]TJ -114.226 -13.55 Td [(to)-320(b)-27(e)-320(replicated,)]TJ/F45 10.9091 Tf 81.13 0 Td [(SLUDIST)]TJ/F15 10.9091 Tf 40.09 0 Td [(,)]TJ/F45 10.9091 Tf 6.519 0 Td [(JACOBI)]TJ/F15 10.9091 Tf 34.363 0 Td [(,)]TJ/F45 10.9091 Tf 6.518 0 Td [(GS)]TJ/F15 10.9091 Tf 14.942 0 Td [(and)]TJ/F45 10.9091 Tf 21.064 0 Td [(BJAC)]TJ/F15 10.9091 Tf 26.396 0 Td [(re-)]TJ -231.022 -13.549 Td [(quire)-382(it)-383(to)-382(b)-28(e)-383(distributed,)]TJ/F45 10.9091 Tf 128.392 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.809 0 Td [(can)-382(b)-28(e)-383(used)-382(with)]TJ -161.201 -13.549 Td [(either)-407(a)-406(replicated)-407(or)-407(a)-406(distributed)-407(matrix.)-664(When)]TJ 0 -13.549 Td [(an)28(y)-385(of)-384(the)-384(previous)-385(solv)28(ers)-384(is)-385(sp)-28(eci\014ed,)-397(the)-384(matrix)]TJ 0 -13.549 Td [(la)28(y)28(out)-313(is)-313(set)-313(to)-313(a)-313(default)-313(v)55(alue)-313(whic)28(h)-313(allo)28(ws)-313(the)-313(use)]TJ 0 -13.55 Td [(v)56(alue)-429(UMFP)84(A)27(CK)-428(and)-428(Sup)-28(erLU)]TJ ET q 1 0 0 1 807.651 110.447 cm @@ -4442,21 +4446,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 305.803 82.75 Td [('COARSE_SUBSOLVE')]TJ +/F45 10.9091 Tf 305.803 82.75 Td [('COARSE_SUBSOLVE')]TJ ET q 1 0 0 1 422.332 10.94 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 428.31 82.75 Td [(character\050len=*\051)]TJ +/F45 10.9091 Tf 428.31 82.75 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 525.922 10.94 cm []0 d 0 J 0.398 w 0 0 m 0 81.295 l S Q BT -/F44 10.9091 Tf 531.9 82.75 Td [('ILU')]TJ 0 -13.549 Td [('ILUT')]TJ 0 -13.549 Td [('MILU')]TJ 0 -13.549 Td [('MUMPS')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.55 Td [('UMF')]TJ +/F45 10.9091 Tf 531.9 82.75 Td [('ILU')]TJ 0 -13.549 Td [('ILUT')]TJ 0 -13.549 Td [('MILU')]TJ 0 -13.549 Td [('MUMPS')]TJ 0 -13.549 Td [('SLU')]TJ 0 -13.55 Td [('UMF')]TJ ET q 1 0 0 1 586.067 10.94 cm @@ -4492,21 +4496,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F43 10.9091 Tf 305.803 1.057 Td [(Note.)]TJ/F15 10.9091 Tf 35.053 0 Td [(Defaults)-333(for)]TJ/F44 10.9091 Tf 59.94 0 Td [(COARSE)]TJ +/F44 10.9091 Tf 305.803 1.057 Td [(Note.)]TJ/F15 10.9091 Tf 35.053 0 Td [(Defaults)-333(for)]TJ/F45 10.9091 Tf 59.94 0 Td [(COARSE)]TJ ET q 1 0 0 1 435.846 1.256 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 439.283 1.057 Td [(SOLVE)]TJ/F15 10.9091 Tf 32.272 0 Td [(and)]TJ/F44 10.9091 Tf 21.212 0 Td [(COARSE)]TJ +/F45 10.9091 Tf 439.283 1.057 Td [(SOLVE)]TJ/F15 10.9091 Tf 32.272 0 Td [(and)]TJ/F45 10.9091 Tf 21.212 0 Td [(COARSE)]TJ ET q 1 0 0 1 527.818 1.256 cm []0 d 0 J 0.398 w 0 0 m 3.436 0 l S Q BT -/F44 10.9091 Tf 531.254 1.057 Td [(SUBSOLVE)]TJ/F15 10.9091 Tf 49.454 0 Td [(are)-333(c)27(hosen)-333(in)-333(the)-334(f)1(ollo)27(wing)-333(order:)]TJ +/F45 10.9091 Tf 531.254 1.057 Td [(SUBSOLVE)]TJ/F15 10.9091 Tf 49.454 0 Td [(are)-333(c)27(hosen)-333(in)-333(the)-334(f)1(ollo)27(wing)-333(order:)]TJ ET q 1 0 0 1 901.945 -3.008 cm @@ -4517,7 +4521,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F15 10.9091 Tf 305.803 -12.492 Td [(single)-333(precision)-334(v)28(ersion)-333({)]TJ/F44 10.9091 Tf 122.364 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.272 0 Td [(if)-333(installed,)-334(then)]TJ/F44 10.9091 Tf 81.576 0 Td [(SLU)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)]TJ/F44 10.9091 Tf 56.728 0 Td [(ILU)]TJ/F15 10.9091 Tf 20.818 0 Td [(otherwise;)]TJ +/F15 10.9091 Tf 305.803 -12.492 Td [(single)-333(precision)-334(v)28(ersion)-333({)]TJ/F45 10.9091 Tf 122.364 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.272 0 Td [(if)-333(installed,)-334(then)]TJ/F45 10.9091 Tf 81.576 0 Td [(SLU)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)]TJ/F45 10.9091 Tf 56.728 0 Td [(ILU)]TJ/F15 10.9091 Tf 20.818 0 Td [(otherwise;)]TJ ET q 1 0 0 1 901.945 -16.557 cm @@ -4528,7 +4532,7 @@ q []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F15 10.9091 Tf 305.803 -26.042 Td [(double)-333(precision)-334(v)28(ersion)-333({)]TJ/F44 10.9091 Tf 127.152 0 Td [(UMF)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)-334(t)1(he)-1(n)]TJ/F44 10.9091 Tf 81.576 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.272 0 Td [(if)-333(installed,)-334(th)1(e)-1(n)]TJ/F44 10.9091 Tf 81.576 0 Td [(SLU)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)]TJ/F44 10.9091 Tf 56.727 0 Td [(ILU)]TJ/F15 10.9091 Tf 20.818 0 Td [(otherwise.)]TJ +/F15 10.9091 Tf 305.803 -26.042 Td [(double)-333(precision)-334(v)28(ersion)-333({)]TJ/F45 10.9091 Tf 127.152 0 Td [(UMF)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)-334(t)1(he)-1(n)]TJ/F45 10.9091 Tf 81.576 0 Td [(MUMPS)]TJ/F15 10.9091 Tf 32.272 0 Td [(if)-333(installed,)-334(th)1(e)-1(n)]TJ/F45 10.9091 Tf 81.576 0 Td [(SLU)]TJ/F15 10.9091 Tf 20.818 0 Td [(if)-333(installed,)]TJ/F45 10.9091 Tf 56.727 0 Td [(ILU)]TJ/F15 10.9091 Tf 20.818 0 Td [(otherwise.)]TJ ET q 1 0 0 1 901.945 -30.106 cm @@ -4559,7 +4563,7 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(30)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(30)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G 0 g 0 G ET @@ -4579,35 +4583,35 @@ q Q 1 0 0 1 -292.625 -715.095 cm BT -/F44 10.9091 Tf 300.812 773.27 Td [(what)]TJ +/F45 10.9091 Tf 300.812 773.27 Td [(what)]TJ ET q 1 0 0 1 417.341 769.205 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 423.318 773.27 Td [(d)22(a)67(t)66(a)-377(type)]TJ +/F42 10.9091 Tf 423.318 773.27 Td [(d)22(a)67(t)66(a)-377(type)]TJ ET q 1 0 0 1 536.314 769.205 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F44 10.9091 Tf 542.292 773.27 Td [(val)]TJ +/F45 10.9091 Tf 542.292 773.27 Td [(val)]TJ ET q 1 0 0 1 604.962 769.205 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 610.94 773.27 Td [(def)89(a)22(ul)67(t)]TJ +/F42 10.9091 Tf 610.94 773.27 Td [(def)89(a)22(ul)67(t)]TJ ET q 1 0 0 1 659.437 769.205 cm []0 d 0 J 0.398 w 0 0 m 0 13.549 l S Q BT -/F41 10.9091 Tf 665.415 773.27 Td [(comments)]TJ +/F42 10.9091 Tf 665.415 773.27 Td [(comments)]TJ ET q 1 0 0 1 883.991 769.205 cm @@ -4622,14 +4626,14 @@ q []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 10.9091 Tf 300.812 759.322 Td [('COARSE_SWEEPS')]TJ +/F45 10.9091 Tf 300.812 759.322 Td [('COARSE_SWEEPS')]TJ ET q 1 0 0 1 417.341 741.708 cm []0 d 0 J 0.398 w 0 0 m 0 27.098 l S Q BT -/F44 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[(Sc)28(h)28(w)27(arz)-271(only:)]TJ/F44 9.9626 Tf 63.303 0 Td [(HALO)]TJ/F15 9.9626 Tf 23.622 0 Td [(for)-271(taking)-271(in)28(to)-272(accoun)28(t)-271(the)]TJ -86.925 -11.956 Td [(o)28(v)28(e)-1(r)1(lap,)]TJ/F44 9.9626 Tf 37.388 0 Td [(NONE)]TJ/F15 9.9626 Tf 24.242 0 Td [(for)-333(neglecting)-334(it.)]TJ -61.63 -11.955 Td [(Note)-367(that)]TJ/F44 9.9626 Tf 46.337 0 Td [(HALO)]TJ/F15 9.9626 Tf 24.58 0 Td [(m)28(ust)-367(b)-28(e)-367(c)27(hosen)-367(for)-367(the)-367(classi-)]TJ -70.917 -11.955 Td [(cal)-399(Addditiv)28(e)-399(Sc)28(h)28(w)27(ar)1(z)-399(smo)-28(other)-399(and)-399(its)-399(RAS)]TJ 0 -11.955 Td [(v)56(arian)27(t.)]TJ +/F15 9.9626 Tf 670.693 816.428 Td [(T)28(yp)-28(e)-733(of)-733(restriction)-733(op)-28(erator,)-833(for)-733(Additiv)28(e)]TJ 0 -11.955 Td [(Sc)28(h)28(w)27(arz)-271(only:)]TJ/F45 9.9626 Tf 63.303 0 Td [(HALO)]TJ/F15 9.9626 Tf 23.622 0 Td [(for)-271(taking)-271(in)28(to)-272(accoun)28(t)-271(the)]TJ -86.925 -11.956 Td [(o)28(v)28(e)-1(r)1(lap,)]TJ/F45 9.9626 Tf 37.388 0 Td [(NONE)]TJ/F15 9.9626 Tf 24.242 0 Td [(for)-333(neglecting)-334(it.)]TJ -61.63 -11.955 Td [(Note)-367(that)]TJ/F45 9.9626 Tf 46.337 0 Td [(HALO)]TJ/F15 9.9626 Tf 24.58 0 Td [(m)28(ust)-367(b)-28(e)-367(c)27(hosen)-367(for)-367(the)-367(classi-)]TJ -70.917 -11.955 Td [(cal)-399(Addditiv)28(e)-399(Sc)28(h)28(w)27(ar)1(z)-399(smo)-28(other)-399(and)-399(its)-399(RAS)]TJ 0 -11.955 Td [(v)56(arian)27(t.)]TJ ET q 1 0 0 1 877.931 753.065 cm @@ -5134,35 +5138,35 @@ q []0 d 0 J 0.398 w 0 0 m 0 71.731 l S Q BT -/F44 9.9626 Tf 306.872 744.298 Td [('SUB_PROL')]TJ +/F45 9.9626 Tf 306.872 744.298 Td [('SUB_PROL')]TJ ET q 1 0 0 1 397.889 680.936 cm []0 d 0 J 0.398 w 0 0 m 0 71.731 l S Q BT -/F44 9.9626 Tf 403.866 744.298 Td [(character\050len=*\051)]TJ +/F45 9.9626 Tf 403.866 744.298 Td [(character\050len=*\051)]TJ ET q 1 0 0 1 507.577 680.936 cm []0 d 0 J 0.398 w 0 0 m 0 71.731 l S Q BT -/F44 9.9626 Tf 513.555 744.298 Td [('SUM')]TJ 0 -11.955 Td [('NONE')]TJ +/F45 9.9626 Tf 513.555 744.298 Td [('SUM')]TJ 0 -11.955 Td [('NONE')]TJ ET q 1 0 0 1 590.399 680.936 cm []0 d 0 J 0.398 w 0 0 m 0 71.731 l S Q BT -/F44 9.9626 Tf 596.376 744.298 Td [('NONE')]TJ +/F45 9.9626 Tf 596.376 744.298 Td [('NONE')]TJ ET q 1 0 0 1 664.716 680.936 cm []0 d 0 J 0.398 w 0 0 m 0 71.731 l S Q BT -/F15 9.9626 Tf 670.693 744.298 Td [(T)28(yp)-28(e)-534(of)-533(prolongation)-534(op)-27(erator,)-584(for)-534(Add)1(itiv)27(e)]TJ 0 -11.955 Td [(Sc)28(h)28(w)27(arz)-253(on)1(ly:)]TJ/F44 9.9626 Tf 63.028 0 Td [(SUM)]TJ/F15 9.9626 Tf 18.209 0 Td [(for)-253(adding)-252(the)-253(con)28(tributions)]TJ -81.237 -11.955 Td [(from)-333(the)-334(o)28(v)28(erlap,)]TJ/F44 9.9626 Tf 78.097 0 Td [(NONE)]TJ/F15 9.9626 Tf 24.242 0 Td [(for)-333(neglecting)-334(them.)]TJ -102.339 -11.955 Td [(Note)-322(that)]TJ/F44 9.9626 Tf 45.431 0 Td [(SUM)]TJ/F15 9.9626 Tf 18.896 0 Td [(m)28(ust)-322(b)-28(e)-321(c)27(hosen)-321(for)-322(the)-322(classical)]TJ -64.327 -11.955 Td [(Additiv)28(e)-436(S)1(c)27(h)28(w)28(arz)-436(smo)-27(other,)-461(and)]TJ/F44 9.9626 Tf 149.166 0 Td [(NONE)]TJ/F15 9.9626 Tf 25.258 0 Td [(for)-435(its)]TJ -174.424 -11.956 Td [(RAS)-333(v)55(arian)28(t.)]TJ +/F15 9.9626 Tf 670.693 744.298 Td [(T)28(yp)-28(e)-534(of)-533(prolongation)-534(op)-27(erator,)-584(for)-534(Add)1(itiv)27(e)]TJ 0 -11.955 Td [(Sc)28(h)28(w)27(arz)-253(on)1(ly:)]TJ/F45 9.9626 Tf 63.028 0 Td [(SUM)]TJ/F15 9.9626 Tf 18.209 0 Td [(for)-253(adding)-252(the)-253(con)28(tributions)]TJ -81.237 -11.955 Td [(from)-333(the)-334(o)28(v)28(erlap,)]TJ/F45 9.9626 Tf 78.097 0 Td [(NONE)]TJ/F15 9.9626 Tf 24.242 0 Td [(for)-333(neglecting)-334(them.)]TJ -102.339 -11.955 Td [(Note)-322(that)]TJ/F45 9.9626 Tf 45.431 0 Td [(SUM)]TJ/F15 9.9626 Tf 18.896 0 Td [(m)28(ust)-322(b)-28(e)-321(c)27(hosen)-321(for)-322(the)-322(classical)]TJ -64.327 -11.955 Td [(Additiv)28(e)-436(S)1(c)27(h)28(w)28(arz)-436(smo)-27(other,)-461(and)]TJ/F45 9.9626 Tf 149.166 0 Td [(NONE)]TJ/F15 9.9626 Tf 25.258 0 Td [(for)-435(its)]TJ -174.424 -11.956 Td [(RAS)-333(v)55(arian)28(t.)]TJ ET q 1 0 0 1 877.931 680.936 cm @@ -5177,14 +5181,14 @@ q []0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 9.9626 Tf 306.872 672.169 Td [('SUB_FILLIN')]TJ +/F45 9.9626 Tf 306.872 672.169 Td [('SUB_FILLIN')]TJ ET q 1 0 0 1 397.889 656.627 cm []0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 9.9626 Tf 403.866 672.169 Td [(integer)]TJ +/F45 9.9626 Tf 403.866 672.169 Td [(integer)]TJ ET q 1 0 0 1 507.577 656.627 cm @@ -5220,21 +5224,21 @@ q []0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 9.9626 Tf 306.872 647.86 Td [('SUB_ILUTHRS')]TJ +/F45 9.9626 Tf 306.872 647.86 Td [('SUB_ILUTHRS')]TJ ET q 1 0 0 1 397.889 632.318 cm []0 d 0 J 0.398 w 0 0 m 0 23.91 l S Q BT -/F44 9.9626 Tf 403.866 647.86 Td [(real\050)]TJ/F18 9.9626 Tf 26.152 0 Td [(kind)]TJ +/F45 9.9626 Tf 403.866 647.86 Td [(real\050)]TJ/F18 9.9626 Tf 26.152 0 Td [(kind)]TJ ET q 1 0 0 1 448.96 648.059 cm []0 d 0 J 0.398 w 0 0 m 3.055 0 l S Q BT -/F18 9.9626 Tf 452.015 647.86 Td [(p)51(ar)51(ameter)]TJ/F44 9.9626 Tf 44.354 0 Td [(\051)]TJ +/F18 9.9626 Tf 452.015 647.86 Td [(p)51(ar)51(ameter)]TJ/F45 9.9626 Tf 44.354 0 Td [(\051)]TJ ET q 1 0 0 1 507.577 632.318 cm @@ -5287,14 +5291,14 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(33)]TJ 0 g 0 G /F17 11.9552 Tf -401.542 -35.866 Td [(6.3)-1125(Subroutine)-375(build)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 128.908 -20.594 Td [(call)-525(p%build\050a,desc_a,info\051)]TJ/F15 10.9091 Tf -128.908 -25.505 Td [(This)-341(routine)-341(build)1(s)-341(the)-341(one-lev)27(el)-340(preconditioner)]TJ/F44 10.9091 Tf 231.009 0 Td [(p)]TJ/F15 10.9091 Tf 9.446 0 Td [(according)-341(to)-341(the)-341(requir)1(e)-1(men)28(ts)-341(made)]TJ -240.455 -13.549 Td [(b)28(y)-318(the)-318(user)-317(through)-318(the)-318(routines)]TJ/F44 10.9091 Tf 157.981 0 Td [(init)]TJ/F15 10.9091 Tf 26.375 0 Td [(and)]TJ/F44 10.9091 Tf 21.042 0 Td [(set)]TJ/F15 10.9091 Tf 20.648 0 Td [(\050see)-318(Sections)]TJ +/F45 10.9091 Tf 128.908 -20.594 Td [(call)-525(p%build\050a,desc_a,info\051)]TJ/F15 10.9091 Tf -128.908 -25.505 Td [(This)-341(routine)-341(build)1(s)-341(the)-341(one-lev)27(el)-340(preconditioner)]TJ/F45 10.9091 Tf 231.009 0 Td [(p)]TJ/F15 10.9091 Tf 9.446 0 Td [(according)-341(to)-341(the)-341(requir)1(e)-1(men)28(ts)-341(made)]TJ -240.455 -13.549 Td [(b)28(y)-318(the)-318(user)-317(through)-318(the)-318(routines)]TJ/F45 10.9091 Tf 157.981 0 Td [(init)]TJ/F15 10.9091 Tf 26.375 0 Td [(and)]TJ/F45 10.9091 Tf 21.042 0 Td [(set)]TJ/F15 10.9091 Tf 20.648 0 Td [(\050see)-318(Sections)]TJ 0 0 1 rg 0 0 1 RG [-318(6.4)]TJ 0 g 0 G @@ -5302,22 +5306,22 @@ BT 0 0 1 rg 0 0 1 RG [-318(6.5)]TJ 0 g 0 G - [-318(for)-318(m)28(ulti-lev)28(el)]TJ -226.046 -13.549 Td [(preconditioners\051.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -15.794 Td [(a)-3689(type\050psb_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(spmat_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 131.726 0 Td [(.)]TJ -189.645 -13.549 Td [(The)-501(sparse)-501(matrix)-501(structure)-501(con)28(taining)-501(t)1(he)-501(lo)-28(cal)-501(part)-501(of)-501(the)-501(matrix)]TJ 0 -13.549 Td [(to)-470(b)-28(e)-469(preconditioned.)-854(Note)-470(that)]TJ/F18 10.9091 Tf 166.818 0 Td [(x)]TJ/F15 10.9091 Tf 11.5 0 Td [(m)28(ust)-470(b)-28(e)-470(c)28(hosen)-470(according)-470(to)-469(the)]TJ -178.318 -13.55 Td [(real/complex,)-534(single/doub)1(le)-494(precision)-494(v)28(ersion)-493(of)-494(MLD2P4)-493(under)-494(use.)]TJ 0 -13.549 Td [(See)-333(the)-334(PSBLAS)-333(User's)-333(Guide)-334(for)-333(details)-333([)]TJ + [-318(for)-318(m)28(ulti-lev)28(el)]TJ -226.046 -13.549 Td [(preconditioners\051.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.794 Td [(a)-3689(type\050psb_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F45 10.9091 Tf 6.374 0 Td [(spmat_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 131.726 0 Td [(.)]TJ -189.645 -13.549 Td [(The)-501(sparse)-501(matrix)-501(structure)-501(con)28(taining)-501(t)1(he)-501(lo)-28(cal)-501(part)-501(of)-501(the)-501(matrix)]TJ 0 -13.549 Td [(to)-470(b)-28(e)-469(preconditioned.)-854(Note)-470(that)]TJ/F18 10.9091 Tf 166.818 0 Td [(x)]TJ/F15 10.9091 Tf 11.5 0 Td [(m)28(ust)-470(b)-28(e)-470(c)28(hosen)-470(according)-470(to)-469(the)]TJ -178.318 -13.55 Td [(real/complex,)-534(single/doub)1(le)-494(precision)-494(v)28(ersion)-493(of)-494(MLD2P4)-493(under)-494(use.)]TJ 0 -13.549 Td [(See)-333(the)-334(PSBLAS)-333(User's)-333(Guide)-334(for)-333(details)-333([)]TJ 1 0 0 rg 1 0 0 RG [(13)]TJ 0 g 0 G - [(].)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.515 0 Td [(.)]TJ -177.544 -13.549 Td [(The)-354(comm)28(unication)-354(descriptor)-354(of)]TJ/F44 10.9091 Tf 162.835 0 Td [(a)]TJ/F15 10.9091 Tf 5.728 0 Td [(.)-506(See)-354(the)-354(PSBLAS)-354(User's)-353(Guide)-354(for)]TJ -168.563 -13.549 Td [(details)-333([)]TJ + [(].)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.515 0 Td [(.)]TJ -177.544 -13.549 Td [(The)-354(comm)28(unication)-354(descriptor)-354(of)]TJ/F45 10.9091 Tf 162.835 0 Td [(a)]TJ/F15 10.9091 Tf 5.728 0 Td [(.)-506(See)-354(the)-354(PSBLAS)-354(User's)-353(Guide)-354(for)]TJ -168.563 -13.549 Td [(details)-333([)]TJ 1 0 0 rg 1 0 0 RG [(13)]TJ 0 g 0 G - [(].)]TJ/F44 10.9091 Tf -45.971 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ + [(].)]TJ/F45 10.9091 Tf -45.971 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(8)]TJ 0 g 0 G [-333(for)-334(details.)]TJ -51.948 -32.96 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(pr)1(e)-1(vi)1(ous)-381(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.937 -13.55 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 111.727 -25.504 Td [(call)-525(mld_precbld\050p,what,val,info\051)]TJ/F15 10.9091 Tf -111.727 -25.504 Td [(In)-333(this)-334(case,)-333(the)-333(routine)-334(can)-333(b)-28(e)-333(used)-333(to)-334(build)-333(m)28(ulti-lev)28(el)-334(precondition)1(e)-1(r)1(s)-334(to)-28(o.)]TJ +/F45 10.9091 Tf 111.727 -25.504 Td [(call)-525(mld_precbld\050p,what,val,info\051)]TJ/F15 10.9091 Tf -111.727 -25.504 Td [(In)-333(this)-334(case,)-333(the)-333(routine)-334(can)-333(b)-28(e)-333(used)-333(to)-334(build)-333(m)28(ulti-lev)28(el)-334(precondition)1(e)-1(r)1(s)-334(to)-28(o.)]TJ 0 g 0 G 0 g 0 G ET @@ -5331,7 +5335,7 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(34)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(34)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F17 11.9552 Tf -203.265 -35.866 Td [(6.4)-1125(Subroutine)-375(hierarc)31(h)32(y)]TJ ET @@ -5343,15 +5347,15 @@ BT /F17 11.9552 Tf 245.711 704.136 Td [(build)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -59.039 -20.594 Td [(call)-525(p%hierarchy_build\050a,desc_a,info\051)]TJ/F15 10.9091 Tf -100.272 -25.505 Td [(This)-451(routine)-451(builds)-451(the)-452(h)1(ierarc)27(h)28(y)-451(of)-451(matrices)-452(an)1(d)-452(restriction/prol)1(ongation)-452(op)-27(erators)]TJ 0 -13.549 Td [(for)-408(the)-409(m)28(ulti-lev)28(el)-408(preconditioner)]TJ/F44 10.9091 Tf 164.577 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-427(according)-408(to)-409(the)-408(requiremen)28(ts)-409(made)-408(b)28(y)-409(the)-408(user)]TJ -170.304 -13.549 Td [(through)-333(the)-333(routines)]TJ/F44 10.9091 Tf 101.939 0 Td [(init)]TJ/F15 10.9091 Tf 26.545 0 Td [(and)]TJ/F44 10.9091 Tf 21.213 0 Td [(set)]TJ/F15 10.9091 Tf 17.181 0 Td [(.)]TJ/F17 11.9552 Tf -166.878 -33.873 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -15.794 Td [(a)-3689(type\050psb_)]TJ/F18 10.9091 Tf 97.516 0 Td [(x)]TJ/F44 10.9091 Tf 6.374 0 Td [(spmat_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 131.726 0 Td [(.)]TJ -189.645 -13.549 Td [(The)-501(sparse)-501(matrix)-501(structure)-501(con)28(taining)-500(the)-501(lo)-28(cal)-501(part)-501(of)-501(the)-501(matrix)]TJ 0 -13.549 Td [(to)-470(b)-28(e)-469(preconditioned.)-854(Note)-470(that)]TJ/F18 10.9091 Tf 166.818 0 Td [(x)]TJ/F15 10.9091 Tf 11.499 0 Td [(m)28(ust)-470(b)-28(e)-470(c)28(hosen)-470(according)-470(to)-469(the)]TJ -178.317 -13.55 Td [(real/complex,)-534(single/doub)1(le)-494(precision)-494(v)28(ersion)-493(of)-494(MLD2P4)-493(under)-494(use.)]TJ 0 -13.549 Td [(See)-333(the)-334(PSBLAS)-333(User's)-333(Guide)-334(for)-333(details)-333([)]TJ +/F45 10.9091 Tf -59.039 -20.594 Td [(call)-525(p%hierarchy_build\050a,desc_a,info\051)]TJ/F15 10.9091 Tf -100.272 -25.505 Td [(This)-451(routine)-451(builds)-451(the)-452(h)1(ierarc)27(h)28(y)-451(of)-451(matrices)-452(an)1(d)-452(restriction/prol)1(ongation)-452(op)-27(erators)]TJ 0 -13.549 Td [(for)-408(the)-409(m)28(ulti-lev)28(el)-408(preconditioner)]TJ/F45 10.9091 Tf 164.577 0 Td [(p)]TJ/F15 10.9091 Tf 5.727 0 Td [(,)-427(according)-408(to)-409(the)-408(requiremen)28(ts)-409(made)-408(b)28(y)-409(the)-408(user)]TJ -170.304 -13.549 Td [(through)-333(the)-333(routines)]TJ/F45 10.9091 Tf 101.939 0 Td [(init)]TJ/F15 10.9091 Tf 26.545 0 Td [(and)]TJ/F45 10.9091 Tf 21.213 0 Td 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[(.)-441(Note)-325(that,)-326(when)-324(MLD2P4)-324(is)-324(used)-324(with)-325(a)-324(Krylo)28(v)-324(solv)28(er)-325(f)1(rom)-325(PSBLAS,)]TJ/F45 10.9091 Tf -69.043 -13.549 Td [(p%apply)]TJ/F15 10.9091 Tf 44.151 0 Td [(is)-372(called)-372(within)-372(the)-373(PSBLAS)-372(routine)]TJ/F45 10.9091 Tf 180.665 0 Td [(psb_krylov)]TJ/F15 10.9091 Tf 61.332 0 Td [(and)-372(hence)-372(it)-373(is)-372(completely)]TJ -286.148 -13.549 Td [(transparen)28(t)-333(to)-334(the)-333(user.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.794 Td [(x)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F45 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q 1 0 0 1 201.531 554.373 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 554.174 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.635 0 Td [(.)]TJ -252.794 -13.55 Td [(The)-300(lo)-28(cal)-300(part)-301(of)-300(the)-300(v)28(ector)]TJ/F22 10.9091 Tf 133.655 0 Td [(x)]TJ/F15 10.9091 Tf 6.235 0 Td [(.)-433(Note)-301(that)]TJ/F18 10.9091 Tf 57.038 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.053 0 Td [(and)]TJ/F18 10.9091 Tf 20.851 0 Td [(kind)]TJ +/F18 10.9091 Tf 204.876 554.174 Td [(p)51(ar)51(ameter)]TJ/F45 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 154.635 0 Td [(.)]TJ -252.794 -13.55 Td [(The)-300(lo)-28(cal)-300(part)-301(of)-300(the)-300(v)28(ector)]TJ/F22 10.9091 Tf 133.655 0 Td [(x)]TJ/F15 10.9091 Tf 6.235 0 Td [(.)-433(Note)-301(that)]TJ/F18 10.9091 Tf 57.038 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.053 0 Td [(and)]TJ/F18 10.9091 Tf 20.851 0 Td [(kind)]TJ ET q 1 0 0 1 416.859 540.824 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 420.204 540.624 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.844 0 Td [(m)28(ust)]TJ -316.763 -13.549 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(y)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ +/F18 10.9091 Tf 420.204 540.624 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.844 0 Td [(m)28(ust)]TJ -316.763 -13.549 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(y)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F45 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q 1 0 0 1 201.531 500.176 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 499.977 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.362 0 Td [(.)]TJ -258.521 -13.549 Td [(The)-304(lo)-28(cal)-304(part)-305(of)-304(the)-304(v)28(ector)]TJ/F22 10.9091 Tf 133.917 0 Td [(y)]TJ/F15 10.9091 Tf 5.74 0 Td [(.)-435(Note)-304(that)]TJ/F18 10.9091 Tf 57.14 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.096 0 Td [(and)]TJ/F18 10.9091 Tf 20.896 0 Td [(kind)]TJ +/F18 10.9091 Tf 204.876 499.977 Td [(p)51(ar)51(ameter)]TJ/F45 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.362 0 Td [(.)]TJ -258.521 -13.549 Td [(The)-304(lo)-28(cal)-304(part)-305(of)-304(the)-304(v)28(ector)]TJ/F22 10.9091 Tf 133.917 0 Td [(y)]TJ/F15 10.9091 Tf 5.74 0 Td [(.)-435(Note)-304(that)]TJ/F18 10.9091 Tf 57.14 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 23.096 0 Td [(and)]TJ/F18 10.9091 Tf 20.896 0 Td [(kind)]TJ ET q 1 0 0 1 416.815 486.627 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 420.161 486.428 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.887 0 Td [(m)28(ust)]TJ -316.763 -13.55 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.514 0 Td [(.)]TJ -177.543 -13.549 Td [(The)-319(c)-1(omm)28(unication)-319(descriptor)-320(asso)-28(ciated)-319(to)-320(th)1(e)-320(matrix)-319(to)-320(b)-28(e)-319(precondi-)]TJ 0 -13.549 Td [(tioned.)]TJ/F44 10.9091 Tf -45.971 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ +/F18 10.9091 Tf 420.161 486.428 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 51.887 0 Td [(m)28(ust)]TJ -316.763 -13.55 Td [(b)-28(e)-263(c)28(hosen)-264(accordi)1(ng)-264(to)-263(the)-263(real/complex,)-277(single/double)-264(pr)1(e)-1(cision)-263(v)28(ersion)]TJ 0 -13.549 Td [(of)-333(MLD2P4)-334(u)1(nder)-334(use.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(desc_a)-1064(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F15 10.9091 Tf 223.514 0 Td [(.)]TJ -177.543 -13.549 Td [(The)-319(c)-1(omm)28(unication)-319(descriptor)-320(asso)-28(ciated)-319(to)-320(th)1(e)-320(matrix)-319(to)-320(b)-28(e)-319(precondi-)]TJ 0 -13.549 Td [(tioned.)]TJ/F45 10.9091 Tf -45.971 -13.55 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(8)]TJ 0 g 0 G - [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(trans)-1589(character\050len=1\051,)-525(optional,)-525(intent\050in\051.)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(If)]TJ/F44 10.9091 Tf 12.079 0 Td [(trans)]TJ/F15 10.9091 Tf 33.443 0 Td [(=)]TJ/F44 10.9091 Tf 13.292 0 Td [('N','n')]TJ/F15 10.9091 Tf 44.897 0 Td [(then)]TJ/F22 10.9091 Tf 26.019 0 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-457(=)]TJ/F22 10.9091 Tf 22.689 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(;)-494(if)]TJ/F44 10.9091 Tf 19.593 0 Td [(trans)]TJ/F15 10.9091 Tf 33.443 0 Td [(=)]TJ/F44 10.9091 Tf 13.292 0 Td [('T','t')]TJ/F15 10.9091 Tf 44.897 0 Td [(then)]TJ/F22 10.9091 Tf -318.945 -13.549 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf 18.788 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.587 0 Td [(T)]TJ/F15 10.9091 Tf 9.089 -3.959 Td [(\050transp)-28(ose)-228(of)]TJ/F22 10.9091 Tf 63.302 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051;)-263(if)]TJ/F44 10.9091 Tf 18.99 0 Td [(trans)]TJ/F15 10.9091 Tf 31.12 0 Td [(=)]TJ/F44 10.9091 Tf 10.97 0 Td [('C','c')]TJ/F15 10.9091 Tf 42.575 0 Td [(then)]TJ/F22 10.9091 Tf 23.697 0 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.733 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf -324.4 -13.549 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.958 Td [(\000)]TJ/F23 7.9701 Tf 6.586 0 Td [(C)]TJ/F15 10.9091 Tf 10.733 -3.958 Td [(\050conjugate)-333(transp)-28(ose)-333(of)]TJ/F22 10.9091 Tf 115 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.958 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.958 Td [(\051.)]TJ/F44 10.9091 Tf -207.253 -13.55 Td [(work)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F44 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ + [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(trans)-1589(character\050len=1\051,)-525(optional,)-525(intent\050in\051.)]TJ/F15 10.9091 Tf 45.971 -13.549 Td [(If)]TJ/F45 10.9091 Tf 12.079 0 Td [(trans)]TJ/F15 10.9091 Tf 33.443 0 Td [(=)]TJ/F45 10.9091 Tf 13.292 0 Td [('N','n')]TJ/F15 10.9091 Tf 44.897 0 Td [(then)]TJ/F22 10.9091 Tf 26.019 0 Td [(op)]TJ/F15 10.9091 Tf 10.777 0 Td [(\050)]TJ/F22 10.9091 Tf 4.242 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-457(=)]TJ/F22 10.9091 Tf 22.689 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(;)-494(if)]TJ/F45 10.9091 Tf 19.593 0 Td [(trans)]TJ/F15 10.9091 Tf 33.443 0 Td [(=)]TJ/F45 10.9091 Tf 13.292 0 Td [('T','t')]TJ/F15 10.9091 Tf 44.897 0 Td [(then)]TJ/F22 10.9091 Tf -318.945 -13.549 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf 18.788 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F23 7.9701 Tf 6.587 0 Td [(T)]TJ/F15 10.9091 Tf 9.089 -3.959 Td [(\050transp)-28(ose)-228(of)]TJ/F22 10.9091 Tf 63.302 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.959 Td [(\051;)-263(if)]TJ/F45 10.9091 Tf 18.99 0 Td [(trans)]TJ/F15 10.9091 Tf 31.12 0 Td [(=)]TJ/F45 10.9091 Tf 10.97 0 Td [('C','c')]TJ/F15 10.9091 Tf 42.575 0 Td [(then)]TJ/F22 10.9091 Tf 23.697 0 Td [(op)]TJ/F15 10.9091 Tf 10.776 0 Td [(\050)]TJ/F22 10.9091 Tf 4.243 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.959 Td [(\000)]TJ/F20 7.9701 Tf 6.586 0 Td [(1)]TJ/F15 10.9091 Tf 4.733 -3.959 Td [(\051)-278(=)]TJ/F22 10.9091 Tf -324.4 -13.549 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.958 Td [(\000)]TJ/F23 7.9701 Tf 6.586 0 Td [(C)]TJ/F15 10.9091 Tf 10.733 -3.958 Td [(\050conjugate)-333(transp)-28(ose)-333(of)]TJ/F22 10.9091 Tf 115 0 Td [(B)]TJ/F26 7.9701 Tf 8.822 3.958 Td [(\000)]TJ/F20 7.9701 Tf 6.587 0 Td [(1)]TJ/F15 10.9091 Tf 4.732 -3.958 Td [(\051.)]TJ/F45 10.9091 Tf -207.253 -13.55 Td [(work)]TJ/F18 10.9091 Tf 45.971 0 Td [(typ)51(e)]TJ/F45 10.9091 Tf 19.777 0 Td [(\050)]TJ/F18 10.9091 Tf 5.727 0 Td [(kind)]TJ ET q 1 0 0 1 201.531 324.037 cm []0 d 0 J 0.398 w 0 0 m 3.345 0 l S Q BT -/F18 10.9091 Tf 204.876 323.837 Td [(p)51(ar)51(ameter)]TJ/F44 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(optional,)-525(target)]TJ/F15 10.9091 Tf 188.998 0 Td [(.)]TJ -287.157 -13.549 Td [(W)83(orkspace.)-1532(Its)-696(size)-697(shou)1(ld)-696(b)-28(e)-696(at)-696(least)]TJ/F44 10.9091 Tf 219.886 0 Td [(4)-525(*)-525(psb_cd_get_local_)]TJ -219.886 -13.549 Td [(cols\050desc_a\051)]TJ/F15 10.9091 Tf 73.906 0 Td [(\050see)-475(the)-475(PSBLAS)-474(User's)-475(Guide\051.)-869(Note)-475(th)1(at)]TJ/F18 10.9091 Tf 223.719 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 24.956 0 Td [(and)]TJ/F18 10.9091 Tf -322.581 -13.549 Td [(kind)]TJ +/F18 10.9091 Tf 204.876 323.837 Td [(p)51(ar)51(ameter)]TJ/F45 10.9091 Tf 48.568 0 Td [(\051,)-525(dimension\050:\051,)-525(optional,)-525(target)]TJ/F15 10.9091 Tf 188.998 0 Td [(.)]TJ -287.157 -13.549 Td [(W)83(orkspace.)-1532(Its)-696(size)-697(shou)1(ld)-696(b)-28(e)-696(at)-696(least)]TJ/F45 10.9091 Tf 219.886 0 Td [(4)-525(*)-525(psb_cd_get_local_)]TJ -219.886 -13.549 Td [(cols\050desc_a\051)]TJ/F15 10.9091 Tf 73.906 0 Td [(\050see)-475(the)-475(PSBLAS)-474(User's)-475(Guide\051.)-869(Note)-475(th)1(at)]TJ/F18 10.9091 Tf 223.719 0 Td [(typ)51(e)]TJ/F15 10.9091 Tf 24.956 0 Td [(and)]TJ/F18 10.9091 Tf -322.581 -13.549 Td [(kind)]TJ ET q 1 0 0 1 176.026 283.389 cm @@ -6127,7 +6131,7 @@ BT /F18 10.9091 Tf 179.372 283.19 Td [(p)51(ar)51(ameter)]TJ/F15 10.9091 Tf 54.627 0 Td [(m)28(ust)-556(b)-27(e)-556(c)28(hosen)-555(ac)-1(cordi)1(ng)-556(to)-555(the)-556(real/complex,)-611(sin-)]TJ -78.714 -13.549 Td [(gle/double)-333(precision)-334(v)28(ersion)-333(of)-333(MLD2P4)-334(und)1(e)-1(r)-333(use.)]TJ -51.949 -32.961 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(previous)-380(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.936 -13.549 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 108.863 -25.505 Td [(call)-525(mld_precaply\050p,what,val,info\051)]TJ +/F45 10.9091 Tf 108.863 -25.505 Td [(call)-525(mld_precaply\050p,what,val,info\051)]TJ 0 g 0 G 0 g 0 G ET @@ -6142,21 +6146,21 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(37)]TJ 0 g 0 G /F17 11.9552 Tf 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[(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.794 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-308(co)-28(de.)-435(If)-308(no)-308(error,)-313(0)-308(is)-308(returned.)-436(See)-308(S)1(e)-1(ction)]TJ 0 0 1 rg 0 0 1 RG [-307(8)]TJ 0 g 0 G [-308(for)-308(details.)]TJ -51.948 -32.96 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(pr)1(e)-1(viou)1(s)-381(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.937 -13.55 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 134.636 -25.504 Td [(call)-525(mld_precfree\050p,info\051)]TJ +/F45 10.9091 Tf 134.636 -25.504 Td [(call)-525(mld_precfree\050p,info\051)]TJ 0 g 0 G 0 g 0 G ET @@ -6170,19 +6174,19 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(38)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(38)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F17 11.9552 Tf -203.265 -35.866 Td [(6.8)-1125(Subroutine)-375(descr)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 131.772 -20.594 Td [(call)-525(p%descr\050info,)-525([iout]\051)]TJ/F15 10.9091 Tf -131.772 -25.505 Td [(This)-362(routine)-363(prin)28(ts)-362(a)-363(description)-362(of)-363(the)-362(preconditioner)]TJ/F44 10.9091 Tf 264.695 0 Td [(p)]TJ/F15 10.9091 Tf 9.681 0 Td [(to)-362(the)-363(standard)-362(output)-363(or)-362(to)]TJ -274.376 -13.549 Td [(a)-355(\014le.)-508(It)-354(m)27(ust)-354(b)-28(e)-355(called)-354(after)]TJ/F44 10.9091 Tf 143.39 0 Td [(hierachy_build)]TJ/F15 10.9091 Tf 84.049 0 Td [(and)]TJ/F44 10.9091 Tf 21.444 0 Td [(smoothers_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(,)-360(or)]TJ/F44 10.9091 Tf 20.552 0 Td [(build)]TJ/F15 10.9091 Tf 28.636 0 Td [(,)-360(ha)28(v)28(e)]TJ -383.979 -13.549 Td [(b)-28(een)-333(called.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F44 10.9091 Tf 22.914 -15.794 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ +/F45 10.9091 Tf 131.772 -20.594 Td [(call)-525(p%descr\050info,)-525([iout]\051)]TJ/F15 10.9091 Tf -131.772 -25.505 Td [(This)-362(routine)-363(prin)28(ts)-362(a)-363(description)-362(of)-363(the)-362(preconditioner)]TJ/F45 10.9091 Tf 264.695 0 Td [(p)]TJ/F15 10.9091 Tf 9.681 0 Td [(to)-362(the)-363(standard)-362(output)-363(or)-362(to)]TJ -274.376 -13.549 Td [(a)-355(\014le.)-508(It)-354(m)27(ust)-354(b)-28(e)-355(called)-354(after)]TJ/F45 10.9091 Tf 143.39 0 Td [(hierachy_build)]TJ/F15 10.9091 Tf 84.049 0 Td [(and)]TJ/F45 10.9091 Tf 21.444 0 Td [(smoothers_build)]TJ/F15 10.9091 Tf 85.908 0 Td [(,)-360(or)]TJ/F45 10.9091 Tf 20.552 0 Td [(build)]TJ/F15 10.9091 Tf 28.636 0 Td [(,)-360(ha)28(v)28(e)]TJ -383.979 -13.549 Td [(b)-28(een)-333(called.)]TJ/F17 11.9552 Tf 0 -33.873 Td [(Argumen)31(ts)]TJ/F45 10.9091 Tf 22.914 -15.794 Td [(info)-2114(integer,)-525(intent\050out\051)]TJ/F15 10.9091 Tf 160.515 0 Td [(.)]TJ -114.544 -13.549 Td [(Error)-333(co)-28(de.)-444(If)-334(no)-333(error,)-333(0)-334(is)-333(returned.)-444(See)-334(Section)]TJ 0 0 1 rg 0 0 1 RG [-333(8)]TJ 0 g 0 G - [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ/F44 10.9091 Tf -45.971 -13.549 Td [(iout)-2114(integer,)-525(intent\050in\051,)-525(optional)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.55 Td [(The)-376(id)-376(of)-375(the)-376(\014le)-376(where)-376(the)-376(p)1(rec)-1(on)1(ditioner)-376(description)-376(will)-376(b)-27(e)-376(prin)28(ted;)]TJ 0 -13.549 Td [(the)-333(default)-334(i)1(s)-334(the)-333(standard)-333(output.)]TJ -51.949 -32.96 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(previous)-380(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.936 -13.55 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ + [-333(for)-334(d)1(e)-1(tail)1(s)-1(.)]TJ/F45 10.9091 Tf -45.971 -13.549 Td [(iout)-2114(integer,)-525(intent\050in\051,)-525(optional)]TJ/F15 10.9091 Tf 212.06 0 Td [(.)]TJ -166.089 -13.55 Td [(The)-376(id)-376(of)-375(the)-376(\014le)-376(where)-376(the)-376(p)1(rec)-1(on)1(ditioner)-376(description)-376(will)-376(b)-27(e)-376(prin)28(ted;)]TJ 0 -13.549 Td [(the)-333(default)-334(i)1(s)-334(the)-333(standard)-333(output.)]TJ -51.949 -32.96 Td [(F)83(or)-380(compatibilit)28(y)-381(with)-380(the)-381(previous)-380(v)28(ersions)-381(of)-380(MLD2P4,)-392(this)-381(routine)-380(can)-381(b)-27(e)-381(also)]TJ -16.936 -13.55 Td [(in)28(v)28(ok)27(ed)-333(as)-333(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf 108.863 -25.504 Td [(call)-525(mld_precdescr\050p,info)-525([,iout]\051)]TJ +/F45 10.9091 Tf 108.863 -25.504 Td [(call)-525(mld_precdescr\050p,info)-525([,iout]\051)]TJ 0 g 0 G 0 g 0 G ET @@ -6197,7 +6201,7 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(6)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(6)]TJ 0 g 0 G [-378(User)-377(Interf)88(a)23(ce)]TJ/F15 10.9091 Tf 401.542 0 Td [(39)]TJ 0 g 0 G @@ -6213,21 +6217,21 @@ BT 0 g 0 G /F25 10.9091 Tf -10.909 -21.755 Td [(\017)]TJ 0 g 0 G -/F15 10.9091 Tf 10.909 0 Td [(pass)-333(that)-334(v)56(ariable)-333(as)-334(the)-333(argumen)28(t)-334(to)-333(the)]TJ/F44 10.9091 Tf 201.455 0 Td [(set)]TJ/F15 10.9091 Tf 20.818 0 Td [(routine)-333(as)-334(in)-333(the)-333(follo)28(wing:)]TJ +/F15 10.9091 Tf 10.909 0 Td [(pass)-333(that)-334(v)56(ariable)-333(as)-334(the)-333(argumen)28(t)-334(to)-333(the)]TJ/F45 10.9091 Tf 201.455 0 Td [(set)]TJ/F15 10.9091 Tf 20.818 0 Td [(routine)-333(as)-334(in)-333(the)-333(follo)28(wing:)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -152.819 -24.718 Td [(call)-525(p%set\050smoother,info)-525([,ilev,ilmax,pos]\051)]TJ 5.727 -13.549 Td [(call)-525(p%set\050solver,info)-525([,ilev,ilmax,pos]\051)]TJ +/F45 10.9091 Tf -152.819 -24.718 Td [(call)-525(p%set\050smoother,info)-525([,ilev,ilmax,pos]\051)]TJ 5.727 -13.549 Td [(call)-525(p%set\050solver,info)-525([,ilev,ilmax,pos]\051)]TJ 0 g 0 G /F25 10.9091 Tf -86.09 -24.717 Td [(\017)]TJ 0 g 0 G -/F15 10.9091 Tf 10.909 0 Td [(link)-333(the)-334(co)-27(de)-334(implemen)28(ting)-333(the)-334(v)56(arious)-333(metho)-28(ds)-333(in)27(to)-333(the)-333(application)-333(executable.)]TJ -27.273 -20.615 Td [(The)-442(new)-442(solv)28(er)-442(ob)-55(jec)-1(t)-441(is)-442(then)-442(dynamically)-442(included)-442(in)-442(t)1(he)-442(preconditioner)-442(structure,)]TJ 0 -13.549 Td [(and)-288(acts)-289(as)-289(a)]TJ/F18 10.9091 Tf 64.226 0 Td [(mold)]TJ/F15 10.9091 Tf 27.135 0 Td [(to)-288(whic)27(h)-288(the)-289(precondition)1(e)-1(r)-288(will)-288(c)-1(on)1(form,)-298(ev)28(en)-289(though)-288(the)-288(MLD2P4)]TJ -91.361 -13.549 Td [(library)-333(has)-334(n)1(ot)-334(b)-28(een)-333(mo)-28(di\014ed)-333(to)-333(accoun)28(t)-334(for)-333(this)-333(new)-334(dev)28(elopmen)28(t.)]TJ 16.937 -13.549 Td [(It)-382(is)-382(p)-27(ossible)-382(to)-382(de\014ne)-382(new)-382(v)56(alues)-382(for)-382(the)-381(k)27(eyw)28(ord)]TJ/F44 10.9091 Tf 247.41 0 Td [(WHAT)]TJ/F15 10.9091 Tf 27.074 0 Td [(in)-382(the)]TJ/F44 10.9091 Tf 32.573 0 Td [(set)]TJ/F15 10.9091 Tf 21.347 0 Td [(routine;)-406(if)-382(the)]TJ -345.341 -13.549 Td [(library)-319(co)-28(de)-319(do)-28(es)-319(not)-319(recognize)-320(a)-319(k)28(eyw)28(ord,)-322(it)-319(passes)-320(it)-319(do)28(wn)-319(the)-319(comp)-28(osition)-319(hierarc)28(h)27(y)]TJ 0 -13.55 Td [(\050lev)28(els)-410(con)28(taining)-409(smo)-28(others)-410(con)28(taining)-409(in)-410(turn)-409(solv)28(ers\051,)-429(so)-409(that)-410(it)-409(can)-410(b)-28(e)-409(ev)28(en)27(tual)1(ly)]TJ 0 -13.549 Td [(caugh)28(t)-334(b)28(y)-333(the)-333(new)-334(solv)28(er.)]TJ 16.937 -13.549 Td [(An)-222(example)-222(is)-223(pro)28(vided)-222(in)-222(the)-222(source)-223(co)-27(de)-223(distribu)1(tion)-223(und)1(e)-1(r)-222(the)-222(folder)]TJ/F44 10.9091 Tf 331.849 0 Td [(tests/newslv)]TJ/F15 10.9091 Tf 68.726 0 Td [(.)]TJ -417.512 -13.549 Td [(In)-353(this)-352(exam)-1(p)1(le)-353(w)28(e)-353(are)-353(implemen)28(ting)-353(a)-353(new)-352(incomplete)-353(factorization)-353(v)56(arian)28(t)-353(\050whic)28(h)-353(is)]TJ 0 -13.549 Td [(simply)-416(the)-417(ILU\0500\051)-416(factorization)-417(under)-416(a)-417(n)1(e)-1(w)-416(name\051.)-694(Because)-416(of)-417(the)-416(sp)-28(eci\014cs)-417(of)-416(this)]TJ 0 -13.55 Td [(case,)-336(it)-336(is)-336(p)-27(oss)-1(ib)1(le)-336(to)-336(reuse)-336(the)-335(basic)-336(structure)-336(of)-335(the)-336(ILU)-336(solv)28(er,)-336(with)-336(its)-335(L/D/U)-336(com-)]TJ 0 -13.549 Td [(p)-28(onen)28(ts)-347(and)-347(the)-347(metho)-28(ds)-347(needed)-347(to)-347(apply)-347(the)-347(solv)28(er;)-354(only)-347(a)-347(few)-347(metho)-28(ds,)-351(suc)28(h)-347(as)-347(the)]TJ 0 -13.549 Td [(description)-333(and)-334(most)-333(imp)-28(ortan)28(tly)-333(the)-333(build,)-334(need)-333(to)-333(b)-28(e)-333(o)27(vv)28(erridden)-333(\050rewritten\051.)]TJ 16.937 -13.549 Td [(The)-333(in)28(te)-1(r)1(face)-1(s)-333(for)-333(the)-333(c)-1(all)1(s)-334(sho)28(wn)-333(ab)-28(o)28(v)27(e)-333(are)-333(de\014ned)-334(u)1(s)-1(in)1(g)]TJ +/F15 10.9091 Tf 10.909 0 Td [(link)-333(the)-334(co)-27(de)-334(implemen)28(ting)-333(the)-334(v)56(arious)-333(metho)-28(ds)-333(in)27(to)-333(the)-333(application)-333(executable.)]TJ -27.273 -20.615 Td [(The)-442(new)-442(solv)28(er)-442(ob)-55(jec)-1(t)-441(is)-442(then)-442(dynamically)-442(included)-442(in)-442(t)1(he)-442(preconditioner)-442(structure,)]TJ 0 -13.549 Td [(and)-288(acts)-289(as)-289(a)]TJ/F18 10.9091 Tf 64.226 0 Td [(mold)]TJ/F15 10.9091 Tf 27.135 0 Td [(to)-288(whic)27(h)-288(the)-289(precondition)1(e)-1(r)-288(will)-288(c)-1(on)1(form,)-298(ev)28(en)-289(though)-288(the)-288(MLD2P4)]TJ -91.361 -13.549 Td [(library)-333(has)-334(n)1(ot)-334(b)-28(een)-333(mo)-28(di\014ed)-333(to)-333(accoun)28(t)-334(for)-333(this)-333(new)-334(dev)28(elopmen)28(t.)]TJ 16.937 -13.549 Td [(It)-382(is)-382(p)-27(ossible)-382(to)-382(de\014ne)-382(new)-382(v)56(alues)-382(for)-382(the)-381(k)27(eyw)28(ord)]TJ/F45 10.9091 Tf 247.41 0 Td [(WHAT)]TJ/F15 10.9091 Tf 27.074 0 Td [(in)-382(the)]TJ/F45 10.9091 Tf 32.573 0 Td [(set)]TJ/F15 10.9091 Tf 21.347 0 Td [(routine;)-406(if)-382(the)]TJ -345.341 -13.549 Td [(library)-319(co)-28(de)-319(do)-28(es)-319(not)-319(recognize)-320(a)-319(k)28(eyw)28(ord,)-322(it)-319(passes)-320(it)-319(do)28(wn)-319(the)-319(comp)-28(osition)-319(hierarc)28(h)27(y)]TJ 0 -13.55 Td [(\050lev)28(els)-410(con)28(taining)-409(smo)-28(others)-410(con)28(taining)-409(in)-410(turn)-409(solv)28(ers\051,)-429(so)-409(that)-410(it)-409(can)-410(b)-28(e)-409(ev)28(en)27(tual)1(ly)]TJ 0 -13.549 Td [(caugh)28(t)-334(b)28(y)-333(the)-333(new)-334(solv)28(er.)]TJ 16.937 -13.549 Td [(An)-222(example)-222(is)-223(pro)28(vided)-222(in)-222(the)-222(source)-223(co)-27(de)-223(distribu)1(tion)-223(und)1(e)-1(r)-222(the)-222(folder)]TJ/F45 10.9091 Tf 331.849 0 Td [(tests/newslv)]TJ/F15 10.9091 Tf 68.726 0 Td [(.)]TJ -417.512 -13.549 Td [(In)-353(this)-352(exam)-1(p)1(le)-353(w)28(e)-353(are)-353(implemen)28(ting)-353(a)-353(new)-352(incomplete)-353(factorization)-353(v)56(arian)28(t)-353(\050whic)28(h)-353(is)]TJ 0 -13.549 Td [(simply)-416(the)-417(ILU\0500\051)-416(factorization)-417(under)-416(a)-417(n)1(e)-1(w)-416(name\051.)-694(Because)-416(of)-417(the)-416(sp)-28(eci\014cs)-417(of)-416(this)]TJ 0 -13.55 Td [(case,)-336(it)-336(is)-336(p)-27(oss)-1(ib)1(le)-336(to)-336(reuse)-336(the)-335(basic)-336(structure)-336(of)-335(the)-336(ILU)-336(solv)28(er,)-336(with)-336(its)-335(L/D/U)-336(com-)]TJ 0 -13.549 Td [(p)-28(onen)28(ts)-347(and)-347(the)-347(metho)-28(ds)-347(needed)-347(to)-347(apply)-347(the)-347(solv)28(er;)-354(only)-347(a)-347(few)-347(metho)-28(ds,)-351(suc)28(h)-347(as)-347(the)]TJ 0 -13.549 Td [(description)-333(and)-334(most)-333(imp)-28(ortan)28(tly)-333(the)-333(build,)-334(need)-333(to)-333(b)-28(e)-333(o)27(vv)28(erridden)-333(\050rewritten\051.)]TJ 16.937 -13.549 Td [(The)-333(in)28(te)-1(r)1(face)-1(s)-333(for)-333(the)-333(c)-1(all)1(s)-334(sho)28(wn)-333(ab)-28(o)28(v)27(e)-333(are)-333(de\014ned)-334(u)1(s)-1(in)1(g)]TJ 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -6.61 -19.667 Td [(smoother)-534(class\050mld_x_base_smoother_type\051)]TJ/F15 10.9091 Tf 51.64 -13.549 Td [(The)-333(user-de\014ned)-334(new)-333(smo)-28(other)-333(to)-333(b)-28(e)-334(emplo)28(y)28(ed)-333(in)-334(the)-333(preconditioner.)]TJ/F44 10.9091 Tf -51.64 -13.549 Td [(solver)-1584(class\050mld_x_base_solver_type\051)]TJ/F15 10.9091 Tf 51.64 -13.55 Td [(The)-333(user-de\014ned)-334(new)-333(solv)28(er)-334(to)-333(b)-28(e)-333(emplo)28(y)28(ed)-334(in)-333(the)-333(preconditioner.)]TJ -61.967 -19.702 Td [(The)-374(other)-373(argumen)27(ts)-373(are)-374(de\014ned)-374(in)-373(the)-374(w)28(a)27(y)-373(describ)-28(ed)-374(in)-374(S)1(e)-1(c.)]TJ +/F45 10.9091 Tf -6.61 -19.667 Td [(smoother)-534(class\050mld_x_base_smoother_type\051)]TJ/F15 10.9091 Tf 51.64 -13.549 Td [(The)-333(user-de\014ned)-334(new)-333(smo)-28(other)-333(to)-333(b)-28(e)-334(emplo)28(y)28(ed)-333(in)-334(the)-333(preconditioner.)]TJ/F45 10.9091 Tf -51.64 -13.549 Td [(solver)-1584(class\050mld_x_base_solver_type\051)]TJ/F15 10.9091 Tf 51.64 -13.55 Td [(The)-333(user-de\014ned)-334(new)-333(solv)28(er)-334(to)-333(b)-28(e)-333(emplo)28(y)28(ed)-334(in)-333(the)-333(preconditioner.)]TJ -61.967 -19.702 Td [(The)-374(other)-373(argumen)27(ts)-373(are)-374(de\014ned)-374(in)-373(the)-374(w)28(a)27(y)-373(describ)-28(ed)-374(in)-374(S)1(e)-1(c.)]TJ 0 0 1 rg 0 0 1 RG [-373(6.2)]TJ 0 g 0 G - [(.)-566(As)-374(an)-373(example,)-384(in)]TJ 0 -13.549 Td [(the)]TJ/F44 10.9091 Tf 19.014 0 Td [(tests/newslv)]TJ/F15 10.9091 Tf 72.589 0 Td [(co)-28(de)-354(w)28(e)-354(de\014ne)-354(a)-354(new)-354(ob)-56(ject)-354(of)-354(t)28(yp)-28(e)]TJ/F44 10.9091 Tf 176.052 0 Td [(mld_d_tlu_solver_type)]TJ/F15 10.9091 Tf 120.271 0 Td [(,)-359(and)]TJ -387.926 -13.549 Td [(w)28(e)-334(pass)-333(it)-333(as)-334(follo)28(ws:)]TJ + [(.)-566(As)-374(an)-373(example,)-384(in)]TJ 0 -13.549 Td [(the)]TJ/F45 10.9091 Tf 19.014 0 Td [(tests/newslv)]TJ/F15 10.9091 Tf 72.589 0 Td [(co)-28(de)-354(w)28(e)-354(de\014ne)-354(a)-354(new)-354(ob)-56(ject)-354(of)-354(t)28(yp)-28(e)]TJ/F45 10.9091 Tf 176.052 0 Td [(mld_d_tlu_solver_type)]TJ/F15 10.9091 Tf 120.271 0 Td [(,)-359(and)]TJ -387.926 -13.549 Td [(w)28(e)-334(pass)-333(it)-333(as)-334(follo)28(ws:)]TJ 0 g 0 G 0 g 0 G ET @@ -6241,11 +6245,11 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(40)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(40)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F44 10.9091 Tf -191.811 -49.415 Td [(!)-525(sparse)-525(matrix)-525(and)-525(preconditioner)]TJ 0 -13.549 Td [(type\050psb_dspmat_type\051)-525(::)-525(a)]TJ 0 -13.549 Td [(type\050mld_dprec_type\051)-1050(::)-525(prec)]TJ 0 -13.549 Td [(type\050mld_d_tlu_solver_type\051)-525(::)-525(tlusv)]TJ -11.454 -27.099 Td [(......)]TJ 11.454 -13.549 Td [(!)]TJ 0 -13.549 Td [(!)-1050(prepare)-525(the)-525(preconditioner:)-525(an)-525(ML)-525(with)-525(defaults,)-525(but)-525(with)-525(TLU)-525(solver)-525(at)]TJ 0 -13.549 Td [(!)-1050(intermediate)-525(levels.)-525(All)-525(other)-525(parameters)-525(are)-525(at)-525(default)-525(values.)]TJ 0 -13.55 Td [(!)]TJ 0 -13.549 Td [(call)-525(prec%init\050'ML',)-3675(info\051)]TJ 0 -13.549 Td [(call)-525(prec%hierarchy_build\050a,desc_a,info\051)]TJ 0 -13.549 Td [(nlv)-525(=)-525(prec%get_nlevs\050\051)]TJ 0 -13.549 Td [(call)-525(prec%set\050tlusv,)-1575(info,ilev=1,ilmax=max\0501,nlv-1\051\051)]TJ 0 -13.55 Td [(call)-525(prec%smoothers_build\050a,desc_a,info\051)]TJ +/F45 10.9091 Tf -191.811 -49.415 Td [(!)-525(sparse)-525(matrix)-525(and)-525(preconditioner)]TJ 0 -13.549 Td [(type\050psb_dspmat_type\051)-525(::)-525(a)]TJ 0 -13.549 Td [(type\050mld_dprec_type\051)-1050(::)-525(prec)]TJ 0 -13.549 Td [(type\050mld_d_tlu_solver_type\051)-525(::)-525(tlusv)]TJ -11.454 -27.099 Td [(......)]TJ 11.454 -13.549 Td [(!)]TJ 0 -13.549 Td [(!)-1050(prepare)-525(the)-525(preconditioner:)-525(an)-525(ML)-525(with)-525(defaults,)-525(but)-525(with)-525(TLU)-525(solver)-525(at)]TJ 0 -13.549 Td [(!)-1050(intermediate)-525(levels.)-525(All)-525(other)-525(parameters)-525(are)-525(at)-525(default)-525(values.)]TJ 0 -13.55 Td [(!)]TJ 0 -13.549 Td [(call)-525(prec%init\050'ML',)-3675(info\051)]TJ 0 -13.549 Td [(call)-525(prec%hierarchy_build\050a,desc_a,info\051)]TJ 0 -13.549 Td [(nlv)-525(=)-525(prec%get_nlevs\050\051)]TJ 0 -13.549 Td [(call)-525(prec%set\050tlusv,)-1575(info,ilev=1,ilmax=max\0501,nlv-1\051\051)]TJ 0 -13.55 Td [(call)-525(prec%smoothers_build\050a,desc_a,info\051)]TJ 0 g 0 G 0 g 0 G ET @@ -6260,11 +6264,11 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F41 10.9091 Tf 93.6 740.002 Td [(8)]TJ +/F42 10.9091 Tf 93.6 740.002 Td [(8)]TJ 0 g 0 G [-378(Err)22(o)1(r)-378(handling)]TJ/F15 10.9091 Tf 401.542 0 Td [(41)]TJ 0 g 0 G -/F17 14.3462 Tf -401.542 -35.866 Td [(8)-1125(Error)-375(Handling)]TJ/F15 10.9091 Tf 0 -24.352 Td [(The)-416(error)-416(handling)-416(in)-417(MLD2P)1(4)-417(is)-416(based)-416(on)-416(the)-417(PS)1(B)-1(LAS)-416(\050v)28(ersion)-416(2\051)-416(error)-416(handling.)]TJ 0 -13.549 Td [(Error)-249(conditions)-249(are)-249(signaled)-249(via)-249(an)-249(in)28(teger)-249(argumen)28(t)]TJ/F44 10.9091 Tf 252.188 0 Td [(info)]TJ/F15 10.9091 Tf 22.908 0 Td [(;)-277(whenev)28(er)-249(an)-249(error)-249(condition)]TJ -275.096 -13.549 Td [(is)-315(dete)-1(cted,)-319(an)-315(error)-315(trace)-316(stac)28(k)-315(is)-316(built)-315(b)28(y)-316(the)-315(library)-315(up)-316(to)-315(the)-316(top-lev)28(el,)-319(user-callable)]TJ 0 -13.549 Td [(routine.)-552(This)-370(routin)1(e)-370(will)-369(then)-369(decide,)-379(according)-369(to)-369(the)-370(user)-369(preferences,)-378(whether)-370(the)]TJ 0 -13.55 Td [(error)-275(should)-275(b)-28(e)-275(han)1(dled)-275(b)27(y)-275(t)1(e)-1(rmin)1(ating)-275(the)-275(program)-275(or)-275(b)28(y)-275(returning)-275(the)-275(error)-275(condition)]TJ 0 -13.549 Td [(to)-335(the)-334(use)-1(r)-334(co)-28(de,)-335(whic)28(h)-335(will)-335(then)-334(tak)27(e)-334(action,)-335(and)-335(whether)-335(an)-335(error)-334(message)-335(should)-335(b)-28(e)]TJ 0 -13.549 Td [(prin)28(ted.)-568(These)-375(options)-374(ma)28(y)-375(b)-28(e)-374(set)-375(b)28(y)-375(using)-374(the)-375(PS)1(B)-1(LAS)-374(error)-374(handling)-375(routines;)-395(for)]TJ 0 -13.549 Td [(further)-333(details)-334(see)-333(the)-333(PSBLAS)-334(User's)-333(Guide)-333([)]TJ +/F17 14.3462 Tf -401.542 -35.866 Td [(8)-1125(Error)-375(Handling)]TJ/F15 10.9091 Tf 0 -24.352 Td [(The)-416(error)-416(handling)-416(in)-417(MLD2P)1(4)-417(is)-416(based)-416(on)-416(the)-417(PS)1(B)-1(LAS)-416(\050v)28(ersion)-416(2\051)-416(error)-416(handling.)]TJ 0 -13.549 Td [(Error)-249(conditions)-249(are)-249(signaled)-249(via)-249(an)-249(in)28(teger)-249(argumen)28(t)]TJ/F45 10.9091 Tf 252.188 0 Td [(info)]TJ/F15 10.9091 Tf 22.908 0 Td [(;)-277(whenev)28(er)-249(an)-249(error)-249(condition)]TJ -275.096 -13.549 Td [(is)-315(dete)-1(cted,)-319(an)-315(error)-315(trace)-316(stac)28(k)-315(is)-316(built)-315(b)28(y)-316(the)-315(library)-315(up)-316(to)-315(the)-316(top-lev)28(el,)-319(user-callable)]TJ 0 -13.549 Td [(routine.)-552(This)-370(routin)1(e)-370(will)-369(then)-369(decide,)-379(according)-369(to)-369(the)-370(user)-369(preferences,)-378(whether)-370(the)]TJ 0 -13.55 Td [(error)-275(should)-275(b)-28(e)-275(han)1(dled)-275(b)27(y)-275(t)1(e)-1(rmin)1(ating)-275(the)-275(program)-275(or)-275(b)28(y)-275(returning)-275(the)-275(error)-275(condition)]TJ 0 -13.549 Td [(to)-335(the)-334(use)-1(r)-334(co)-28(de,)-335(whic)28(h)-335(will)-335(then)-334(tak)27(e)-334(action,)-335(and)-335(whether)-335(an)-335(error)-334(message)-335(should)-335(b)-28(e)]TJ 0 -13.549 Td [(prin)28(ted.)-568(These)-375(options)-374(ma)28(y)-375(b)-28(e)-374(set)-375(b)28(y)-375(using)-374(the)-375(PS)1(B)-1(LAS)-374(error)-374(handling)-375(routines;)-395(for)]TJ 0 -13.549 Td [(further)-333(details)-334(see)-333(the)-333(PSBLAS)-334(User's)-333(Guide)-333([)]TJ 1 0 0 rg 1 0 0 RG [(13)]TJ 0 g 0 G @@ -6282,12 +6286,12 @@ endobj stream 0 g 0 G BT -/F15 10.9091 Tf 86.4 740.002 Td [(42)]TJ/F41 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ +/F15 10.9091 Tf 86.4 740.002 Td [(42)]TJ/F42 10.9091 Tf 203.265 0 Td [(MLD2P4)-378(User)67('s)-378(and)-378(Ref)1(erence)-378(Guide)]TJ 0 g 0 G /F17 14.3462 Tf -203.265 -35.866 Td [(A)-1125(License)]TJ/F15 10.9091 Tf 0 -22.758 Td [(The)-333(MLD2P4)-334(is)-333(freely)-333(distributable)-333(under)-334(the)-333(follo)28(wing)-333(cop)27(yri)1(gh)27(t)-333(terms:)]TJ 0 g 0 G 0 g 0 G -/F44 9.9626 Tf 141.219 -44.832 Td [(MLD2P4)-1050(version)-525(2.1)]TJ -130.759 -11.955 Td [(MultiLevel)-525(Domain)-525(Decomposition)-525(Parallel)-525(Preconditioners)-525(Package)]TJ 57.534 -11.955 Td [(based)-525(on)-525(PSBLAS)-525(\050Parallel)-525(Sparse)-525(BLAS)-525(version)-525(3.4\051)]TJ -57.534 -23.91 Td [(\050C\051)-525(Copyright)-525(2008,)-525(2010,)-525(2012,)-525(2017)]TJ 0 -23.911 Td [(Salvatore)-525(Filippone)-2100(Cranfield)-525(University,)-525(Cranfield,)-525(UK)]TJ 0 -11.955 Td [(Ambra)-525(Abdullahi)-525(Hassan)-525(University)-525(of)-525(Rome)-525(Tor)-525(Vergata,)-525(Rome,)-525(IT)]TJ 0 -11.955 Td [(Alfredo)-525(Buttari)-4200(CNRS-IRIT,)-525(Toulouse,)-525(FR)]TJ 0 -11.955 Td [(Pasqua)-525(D'Ambra)-4725(IAC-CNR,)-525(Naples,)-525(IT)]TJ 0 -11.955 Td [(Daniela)-525(di)-525(Serafino)-2100(University)-525(of)-525(Campania)-525(L.)-525(Vanvitelli,)-525(Caserta,)-525(IT)]TJ 0 -23.911 Td [(Redistribution)-525(and)-525(use)-525(in)-525(source)-525(and)-525(binary)-525(forms,)-525(with)-525(or)-525(without)]TJ 0 -11.955 Td [(modification,)-525(are)-525(permitted)-525(provided)-525(that)-525(the)-525(following)-525(conditions)]TJ 0 -11.955 Td [(are)-525(met:)]TJ 10.461 -11.955 Td [(1.)-525(Redistributions)-525(of)-525(source)-525(code)-525(must)-525(retain)-525(the)-525(above)-525(copyright)]TJ 15.691 -11.955 Td [(notice,)-525(this)-525(list)-525(of)-525(conditions)-525(and)-525(the)-525(following)-525(disclaimer.)]TJ -15.691 -11.956 Td [(2.)-525(Redistributions)-525(in)-525(binary)-525(form)-525(must)-525(reproduce)-525(the)-525(above)-525(copyright)]TJ 15.691 -11.955 Td [(notice,)-525(this)-525(list)-525(of)-525(conditions,)-525(and)-525(the)-525(following)-525(disclaimer)-525(in)-525(the)]TJ 0 -11.955 Td [(documentation)-525(and/or)-525(other)-525(materials)-525(provided)-525(with)-525(the)-525(distribution.)]TJ -15.691 -11.955 Td [(3.)-525(The)-525(name)-525(of)-525(the)-525(MLD2P4)-525(group)-525(or)-525(the)-525(names)-525(of)-525(its)-525(contributors)-525(may)]TJ 15.691 -11.955 Td [(not)-525(be)-525(used)-525(to)-525(endorse)-525(or)-525(promote)-525(products)-525(derived)-525(from)-525(this)]TJ 0 -11.956 Td [(software)-525(without)-525(specific)-525(written)-525(permission.)]TJ -26.152 -23.91 Td [(THIS)-525(SOFTWARE)-525(IS)-525(PROVIDED)-525(BY)-525(THE)-525(COPYRIGHT)-525(HOLDERS)-525(AND)-525(CONTRIBUTORS)]TJ 0 -11.955 Td [(``AS)-525(IS'')-525(AND)-525(ANY)-525(EXPRESS)-525(OR)-525(IMPLIED)-525(WARRANTIES,)-525(INCLUDING,)-525(BUT)-525(NOT)-525(LIMITED)]TJ 0 -11.955 Td [(TO,)-525(THE)-525(IMPLIED)-525(WARRANTIES)-525(OF)-525(MERCHANTABILITY)-525(AND)-525(FITNESS)-525(FOR)-525(A)-525(PARTICULAR)]TJ 0 -11.955 Td [(PURPOSE)-525(ARE)-525(DISCLAIMED.)-525(IN)-525(NO)-525(EVENT)-525(SHALL)-525(THE)-525(MLD2P4)-525(GROUP)-525(OR)-525(ITS)-525(CONTRIBUTORS)]TJ 0 -11.956 Td [(BE)-525(LIABLE)-525(FOR)-525(ANY)-525(DIRECT,)-525(INDIRECT,)-525(INCIDENTAL,)-525(SPECIAL,)-525(EXEMPLARY,)-525(OR)]TJ 0 -11.955 Td [(CONSEQUENTIAL)-525(DAMAGES)-525(\050INCLUDING,)-525(BUT)-525(NOT)-525(LIMITED)-525(TO,)-525(PROCUREMENT)-525(OF)]TJ 0 -11.955 Td [(SUBSTITUTE)-525(GOODS)-525(OR)-525(SERVICES;)-525(LOSS)-525(OF)-525(USE,)-525(DATA,)-525(OR)-525(PROFITS;)-525(OR)-525(BUSINESS)]TJ 0 -11.955 Td [(INTERRUPTION\051)-525(HOWEVER)-525(CAUSED)-525(AND)-525(ON)-525(ANY)-525(THEORY)-525(OF)-525(LIABILITY,)-525(WHETHER)-525(IN)]TJ 0 -11.955 Td [(CONTRACT,)-525(STRICT)-525(LIABILITY,)-525(OR)-525(TORT)-525(\050INCLUDING)-525(NEGLIGENCE)-525(OR)-525(OTHERWISE\051)]TJ 0 -11.955 Td [(ARISING)-525(IN)-525(ANY)-525(WAY)-525(OUT)-525(OF)-525(THE)-525(USE)-525(OF)-525(THIS)-525(SOFTWARE,)-525(EVEN)-525(IF)-525(ADVISED)-525(OF)-525(THE)]TJ 0 -11.956 Td [(POSSIBILITY)-525(OF)-525(SUCH)-525(DAMAGE.)]TJ +/F45 9.9626 Tf 141.219 -44.832 Td [(MLD2P4)-1050(version)-525(2.1)]TJ -130.759 -11.955 Td [(MultiLevel)-525(Domain)-525(Decomposition)-525(Parallel)-525(Preconditioners)-525(Package)]TJ 57.534 -11.955 Td [(based)-525(on)-525(PSBLAS)-525(\050Parallel)-525(Sparse)-525(BLAS)-525(version)-525(3.4\051)]TJ -57.534 -23.91 Td [(\050C\051)-525(Copyright)-525(2008,)-525(2010,)-525(2012,)-525(2017)]TJ 0 -23.911 Td [(Salvatore)-525(Filippone)-2100(Cranfield)-525(University,)-525(Cranfield,)-525(UK)]TJ 0 -11.955 Td [(Ambra)-525(Abdullahi)-525(Hassan)-525(University)-525(of)-525(Rome)-525(Tor)-525(Vergata,)-525(Rome,)-525(IT)]TJ 0 -11.955 Td [(Alfredo)-525(Buttari)-4200(CNRS-IRIT,)-525(Toulouse,)-525(FR)]TJ 0 -11.955 Td [(Pasqua)-525(D'Ambra)-4725(IAC-CNR,)-525(Naples,)-525(IT)]TJ 0 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PSBLAS} \flushright \large Software version: 2.1\\ %\today -\large March 28, 2017 +\large July 31, 2017 \end{minipage}} %\addtolength{\textwidth}{\centeroffset} \vspace{\stretch{2}} \clearpage -\ \\ \thispagestyle{empty} +\vspace*{1cm} +\centerline{\emph{\large This page intentionally left blank}} \clearpage \pagenumbering{roman} % Roman numbering \setcounter{page}{1} % Abstract starts on page i \include{abstract} -\cleardoublepage +%\cleardoublepage +\clearpage +\thispagestyle{empty} +\vspace*{1cm} +\centerline{\emph{\large This page intentionally left blank}} +\clearpage \begingroup \renewcommand*{\thepage}{toc} \tableofcontents \endgroup -\cleardoublepage +%\cleardoublepage +\clearpage +\thispagestyle{empty} +\vspace*{1cm} +\centerline{\emph{\large This page intentionally left blank}} +\clearpage \pagenumbering{arabic} % Arabic numbering \setcounter{page}{1} % Chapters start on page 1 \include{overview} \include{distribution} -\include{building} +\include{building} \include{background} \include{gettingstarted} \include{userinterface} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index de80420e..cf125309 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -22,20 +22,20 @@ %\setboolean{mtc}{true} \pdfoutput=0 -% \relax -% \pdfcompresslevel=0 %-- 0 = none, 9 = best -% \pdfinfo{ %-- Info dictionary of PDF output /Author (PD, DdS, SF) -% /Title (MultiLevel Domain Decomposition Parallel Preconditioners Package -% based on PSBLAS, V. 1.0) -% /Subject (MultiLevel Domain Decomposition Parallel Preconditioners Package) -% /Keywords (Parallel Numerical Software, Algebraic Multilevel Preconditioners, Sparse Iterative Solvers, PSBLAS, MPI) -% /Creator (pdfLaTeX) -% /Producer ($Id: userguide.tex 2008-04-08 Pasqua D'Ambra, Daniela di Serafino, -% Salvatore Filippone$) -% } -% \pdfcatalog{ %-- Catalog dictionary of PDF output. -% % /URI (http://ce.uniroma2.it/psblas) -% } +\relax +\pdfcompresslevel=0 %-- 0 = none, 9 = best +\pdfinfo{ %-- Info dictionary of PDF output /Author (PD, DdS, SF) + /Title (MultiLevel Domain Decomposition Parallel Preconditioners Package + based on PSBLAS, V. 2.1) + /Subject (MultiLevel Domain Decomposition Parallel Preconditioners Package) + /Keywords (Parallel Numerical Software, Algebraic Multilevel Preconditioners, Sparse Iterative Solvers, PSBLAS, MPI) + /Creator (pdfLaTeX) + /Producer ($Id: userguide.tex 2008-04-08 Pasqua D'Ambra, Daniela di Serafino, + Salvatore Filippone$) +} +\pdfcatalog{ %-- Catalog dictionary of PDF output. +% /URI (http://ce.uniroma2.it/psblas) +} \setlength\textwidth{1.15\textwidth} % \setlength\evensidemargin{.7in} @@ -94,17 +94,17 @@ \emph{\large A guide for the Multi-Level Domain Decomposition Parallel Preconditioners Package based on PSBLAS}\\[3ex] -{\bfseries Pasqua D'Ambra}\\ - ICAR-CNR, Naples, Italy\\ -{\bfseries Daniela di Serafino}\\ - Second University of Naples, Italy\\ -{\bfseries Salvatore Filippone} \\ - Cranfield University, United Kingdom\\[2ex] -%\\[10ex] +{\large\bfseries Pasqua D'Ambra}\\ +\large IAC-CNR, Naples, Italy\\[3ex] +{\large\bfseries Daniela di Serafino}\\ +\large University of Campania ``Luigi Vanvitelli'', Caserta, Italy\\[3ex] +{\large\bfseries Salvatore Filippone} \\ +\large Cranfield University, Cranfield, United Kingdom +\\[10ex] %\today Software version: 2.1\\ %\today - Feb. 28, 2017 + July 31, 2017 \clearpage \ \\ \thispagestyle{empty}