diff --git a/docs/html/img38.png b/docs/html/img38.png deleted file mode 100644 index e69de29b..00000000 diff --git a/docs/html/index.html b/docs/html/index.html index a627bdd3..15fa8c28 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -136,13 +136,15 @@ Feb. 28, 2017
  • Error Handling + HREF="node24.html">Adding new smoother and solver objects to MLD2P4
  • License + HREF="node25.html">Error Handling
  • Bibliography + HREF="node26.html">License
  • About this document ... + HREF="node27.html">Bibliography +
  • About this document ...
    diff --git a/docs/html/node1.html b/docs/html/node1.html index a09374a8..cf182508 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Contents - Up: Up: userhtml - Previous: Previous: userhtml -   Contents

    @@ -90,26 +90,26 @@ the user interface of MLD2P4.
    - next - up - previous - contents
    - Next: Next: Contents - Up: Up: userhtml - Previous: Previous: userhtml -   Contents diff --git a/docs/html/node10.html b/docs/html/node10.html index 5a1c9cf7..a64fde3f 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Multigrid Background - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Bug reporting -   Contents

    diff --git a/docs/html/node11.html b/docs/html/node11.html index 1c0c92ad..1d447e7a 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: AMG preconditioners - Up: Up: userhtml - Previous: Previous: Example and test programs -   Contents

    @@ -55,46 +55,46 @@ 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., [3,23,21] for details.) MLD2P4 uses a pure algebraic approach, based on the smoothed aggregation algorithm [2,25], for building the sequence of coarse matrices and transfer operators, starting from the original one. A decoupled version of this algorithm is implemented, where the smoothed aggregation is applied locally to each submatrix [24]. A brief description of the AMG preconditioners implemented in MLD2P4 is given in Sections 4.1-4.3. For further details the reader is referred to [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#Briggs2000">3,23,21] for details.) MLD2P4 uses a pure algebraic approach, based on the smoothed aggregation algorithm [2,25], for building the sequence of coarse matrices and transfer operators, starting from the original one. A decoupled version of this algorithm is implemented, where the smoothed aggregation is applied locally to each submatrix [24]. A brief description of the AMG preconditioners implemented in MLD2P4 is given in Sections 4.1-4.3. For further details the reader is referred to [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.
    Subsections
    - next - up - previous - contents
    - Next: Next: AMG preconditioners - Up: Up: userhtml - Previous: Previous: Example and test programs -   Contents diff --git a/docs/html/node12.html b/docs/html/node12.html index 13e20b5e..07e8c64e 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Getting Started - Up: Up: Multigrid Background - Previous: Previous: Multigrid Background -   Contents

    diff --git a/docs/html/node13.html b/docs/html/node13.html index b7109d40..52a0949b 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Examples - Up: Up: userhtml - Previous: Previous: AMG preconditioners -   Contents

    @@ -59,7 +59,7 @@ Getting Started

    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]. + HREF="node27.html#PSBLASGUIDE">13]. The following steps are required:

      @@ -192,32 +192,32 @@ on parallel computers. Subsections
      - next - up - previous - contents
      - Next: Next: Examples - Up: Up: userhtml - Previous: Previous: AMG preconditioners -   Contents diff --git a/docs/html/node14.html b/docs/html/node14.html index 3602b1ff..0859cb12 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: User Interface - Up: Up: Getting Started - Previous: Previous: Getting Started -   Contents

      @@ -78,7 +78,7 @@ Section 3.5). A sample test probl input data is available in examples/fileread/runs. For details on the use of the PSBLAS routines, see the PSBLAS User's Guide [13]. + HREF="node27.html#PSBLASGUIDE">13].

      The setup and application of the default multi-level preconditioner @@ -294,26 +294,26 @@ setup of a one-level Schwarz preconditioner.

      - next - up - previous - contents
      - Next: Next: User Interface - Up: Up: Getting Started - Previous: Previous: Getting Started -   Contents diff --git a/docs/html/node15.html b/docs/html/node15.html index b7be0de3..4b2064b8 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine init - Up: Up: userhtml - Previous: Previous: Examples -   Contents

      @@ -115,46 +115,46 @@ A description of each routine is given in the remainder of this section. Subsections
      - next - up - previous - contents
      - Next: Next: Subroutine init - Up: Up: userhtml - Previous: Previous: Examples -   Contents diff --git a/docs/html/node16.html b/docs/html/node16.html index 2de4734e..cd013670 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine set - Up: Up: User Interface - Previous: Previous: User Interface -   Contents

      @@ -86,7 +86,7 @@ This routine allocates and initializes the preconditioner integer, intent(out).   -Error code. If no error, 0 is returned. See Section 7 for details. +Error code. If no error, 0 is returned. See Section 8 for details. diff --git a/docs/html/node17.html b/docs/html/node17.html index dcd5e947..1d89ccda 100644 --- a/docs/html/node17.html +++ b/docs/html/node17.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine build - Up: Up: User Interface - Previous: Previous: Subroutine init -   Contents

      @@ -97,7 +97,7 @@ contained in val. integer, intent(out).   -Error code. If no error, 0 is returned. See Section 7 +Error code. If no error, 0 is returned. See Section 8 for details. ilev @@ -240,7 +240,7 @@ solver is changed to the default sequential solver.


      -
      +
      - + @@ -99,6 +99,9 @@ as follows:

      +

      + +


      diff --git a/docs/html/node24.html b/docs/html/node24.html index 1a52a490..159f64b0 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Error Handling - +Adding new smoother and solver objects to MLD2P4 + @@ -26,53 +26,157 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next:License - Up: Next: Error Handling + Up:userhtml - Previous: Previous: Subroutine descr -   Contents

      -

      +


      -Error Handling +Adding new smoother and solver objects to MLD2P4

      -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 -routine. This routine will then decide, according to the user -preferences, whether the error should be handled by terminating the -program or by returning the error condition to the user code, which -will then take action, and whether -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]. +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. +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. +The parallel actions required to connect the various solver objects +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 +the context of the multilevel preconditioners it is necessary to: + +

        +
      • declare in the application program a variable of the new type; +
        • +
      • pass that variable as the argument to the set routine as in the +following: +
        +call p%set(smoother,info [,ilev,ilmax,pos]) +
        call p%set(solver,info [,ilev,ilmax,pos]) + +
        +
        • +
      • 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 +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 +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 +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 +

      +
      Table 2: Parameters defining the multi-level cycle and the number of cycles to @@ -293,7 +293,7 @@ number

      -
      +
      + HREF="node27.html#VANEK_MANDEL_BREZINA">25]. @@ -408,7 +408,7 @@ of levels.


      -
      +
      Table 3: Parameters defining the aggregation algorithm. @@ -380,7 +380,7 @@ Currently, only the
      Type of aggregation algorithm: currently, the scalar aggregation algorithm by Vanek, Mandel and Brezina is implemented [25].
      'AGGR_PROL' character(len=*)


      -
      +
      Table 4: Parameters defining the aggregation algorithm (continued). @@ -460,7 +460,7 @@ number 
      Note. Different thresholds at different levels, such as those used in [25, Section 5.1], can be easily set by + HREF="node27.html#VANEK_MANDEL_BREZINA">25, Section 5.1], can be easily set by invoking the rou-
      tine set with @@ -475,7 +475,7 @@ the parameter ilev.
      - + @@ -183,26 +183,26 @@ as follows:

      - next - up - previous - contents
      - Next: Next: Subroutine free - Up: Up: User Interface - Previous: Previous: Subroutine smoothers_build -   Contents diff --git a/docs/html/node22.html b/docs/html/node22.html index 0d55daa6..ff93d7a4 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine descr - Up: Up: User Interface - Previous: Previous: Subroutine apply -   Contents

      @@ -75,7 +75,7 @@ This routine deallocates the preconditioner data structure p. - +
      Table 5: Parameters defining the coarse-space correction at the coarsest @@ -583,7 +583,7 @@ Note that UMF and SLU require the coarsest


      -
      +
      @@ -91,13 +91,13 @@ hierarchy produced by a previous call to hierarchy_build + HREF="node27.html#PSBLASGUIDE">13]. - +
      Table 6: Parameters defining the coarse-space correction at the coarsest @@ -649,7 +649,7 @@ number

      -
      +
      @@ -90,13 +90,13 @@ single/double precision version of MLD2P4 under use. + HREF="node27.html#PSBLASGUIDE">13]. - +
      Table 7: Parameters defining the smoother or the details of the one-level preconditioner. @@ -772,7 +772,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.


      -
      +
      @@ -89,13 +89,13 @@ made by the user through the routines init and set + HREF="node27.html#PSBLASGUIDE">13]. - +
      Table 8: Parameters defining the smoother or the details of the one-level preconditioner @@ -872,26 +872,26 @@ Parameters defining the smoother or the details of the one-level preconditioner

      - next - up - previous - contents
      - Next: Next: Subroutine build - Up: Up: User Interface - Previous: Previous: Subroutine init -   Contents diff --git a/docs/html/node18.html b/docs/html/node18.html index 48134560..40c43f7b 100644 --- a/docs/html/node18.html +++ b/docs/html/node18.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine hierarchy_build - Up: Up: User Interface - Previous: Previous: Subroutine set -   Contents

      @@ -81,7 +81,7 @@ made by the user through the routines init and set 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]. + HREF="node27.html#PSBLASGUIDE">13].
      desc_a type(psb_desc_type), intent(in).
        The communication descriptor of a. See the PSBLAS User's Guide for details [13].
      info integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      @@ -117,26 +117,26 @@ In this case, the routine can be used to build multi-level preconditioners too.

      - next - up - previous - contents
      - Next: Next: Subroutine hierarchy_build - Up: Up: User Interface - Previous: Previous: Subroutine set -   Contents diff --git a/docs/html/node19.html b/docs/html/node19.html index ff0a8458..ddbe0206 100644 --- a/docs/html/node19.html +++ b/docs/html/node19.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine smoothers_build - Up: Up: User Interface - Previous: Previous: Subroutine build -   Contents

      @@ -82,7 +82,7 @@ made by the user through the routines init and set. to the real/complex, single/double precision version of MLD2P4 under use. See the PSBLAS User's Guide for details [13]. + HREF="node27.html#PSBLASGUIDE">13].
      desc_a type(psb_desc_type), intent(in).
        The communication descriptor of a. See the PSBLAS User's Guide for details [13].
      info integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      diff --git a/docs/html/node2.html b/docs/html/node2.html index a9ba2cc0..1a55c9ad 100644 --- a/docs/html/node2.html +++ b/docs/html/node2.html @@ -26,21 +26,21 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous
      - Next: Next: General Overview - Up: Up: userhtml - Previous: Previous: Abstract

      @@ -53,66 +53,68 @@ Contents diff --git a/docs/html/node20.html b/docs/html/node20.html index 6d41f54f..240b44c6 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine apply - Up: Up: User Interface - Previous: Previous: Subroutine hierarchy_build -   Contents

      @@ -83,7 +83,7 @@ hierarchy produced by a previous call to hierarchy_build 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]. + HREF="node27.html#PSBLASGUIDE">13].
      desc_a type(psb_desc_type), intent(in).
        The communication descriptor of a. See the PSBLAS User's Guide for details [13].
      info integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      diff --git a/docs/html/node21.html b/docs/html/node21.html index b3ccbba6..f495f0d6 100644 --- a/docs/html/node21.html +++ b/docs/html/node21.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Subroutine free - Up: Up: User Interface - Previous: Previous: Subroutine smoothers_build -   Contents

      @@ -122,7 +122,7 @@ and hence it is completely transparent to the user.
      integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      trans character(len=1), optional, intent(in). integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      diff --git a/docs/html/node23.html b/docs/html/node23.html index 9e89a6d8..65bb2bb6 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Error Handling - Up: Next: Adding new smoother and + Up: User Interface - Previous: Previous: Subroutine free -   Contents

      @@ -76,7 +76,7 @@ or build, have been called.
      integer, intent(out).
       Error code. If no error, 0 is returned. See Section 7 for details.Error code. If no error, 0 is returned. See Section 8 for details.
      iout integer, intent(in), optional.
      + + + + + + + + + + + + +
      smootherclass(mld_x_base_smoother_type)
       The user-defined new smoother to be employed in the + preconditioner.
      solverclass(mld_x_base_solver_type)
       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
+  type(mld_d_tlu_solver_type) :: tlusv
+
+......
+  !
+  !  prepare the preconditioner: an ML with defaults, but with TLU solver at
+  !  intermediate levels. All other parameters are at default values. 
+  !  
+  call prec%init('ML',       info)
+  call prec%hierarchy_build(a,desc_a,info)
+  nlv = prec%get_nlevs()
+  call prec%set(tlusv,   info,ilev=1,ilmax=max(1,nlv-1))
+  call prec%smoothers_build(a,desc_a,info)
+
      +
      + + +next + +up + +previous + +contents +
      + Next: Error Handling + Up: userhtml + Previous: Subroutine descr +   Contents + diff --git a/docs/html/node25.html b/docs/html/node25.html index 16114c93..d905a8ea 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -License - +Error Handling + @@ -26,77 +26,51 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Bibliography - Up: Next: License + Up: userhtml - Previous: Error Handling -   Previous: Adding new smoother and +   Contents

      -

      +


      -License +Error Handling

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

       
+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
+routine. This routine will then decide, according to the user
+preferences, whether the error should be handled by terminating the
+program or by returning the error condition to the user code, which
+will then take action, and whether
+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]. 
 
- 
-                           MLD2P4  version 2.1
-  MultiLevel Domain Decomposition Parallel Preconditioners Package
-             based on PSBLAS (Parallel Sparse BLAS version 3.4)
-  
-  (C) Copyright 2008, 2010, 2012, 2017
-
-  Salvatore Filippone    Cranfield University, Cranfield, UK
-  Ambra Abdullahi Hassan University of Rome Tor Vergata, Rome, IT
-  Alfredo Buttari        CNRS-IRIT, Toulouse, FR
-  Pasqua D'Ambra         IAC-CNR, Naples, IT
-  Daniela di Serafino    University of Campania L. Vanvitelli, Caserta, IT
-
-  Redistribution and use in source and binary forms, with or without
-  modification, are permitted provided that the following conditions
-  are met:
-    1. Redistributions of source code must retain the above copyright
-       notice, this list of conditions and the following disclaimer.
-    2. Redistributions in binary form must reproduce the above copyright
-       notice, this list of conditions, and the following disclaimer in the
-       documentation and/or other materials provided with the distribution.
-    3. The name of the MLD2P4 group or the names of its contributors may
-       not be used to endorse or promote products derived from this
-       software without specific written permission.
- 
-  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-  ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-  TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
-  PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
-  BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
-  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
-  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
-  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/node26.html b/docs/html/node26.html index 6487cb01..0730f26e 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Bibliography - +License + @@ -26,153 +26,78 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: About this document ... - Up: Next: Bibliography + Up: userhtml - Previous: License -   Previous: Error Handling +   Contents -

      +
      +
      - -

      -Bibliography -

      -

      -

      1 -
      -P. R. Amestoy, C. Ashcraft, O. Boiteau, A. Buttari, J. L'Excellent, C. Weisbecker, -Improving multifrontal methods by means of block low-rank representations, -SIAM Journal on Scientific Computing, volume 37 (3), 2015, A1452-A1474. -See also http://mumps.enseeiht.fr.

      2 -
      -M. Brezina, P. Vanek, -A Black-Box Iterative Solver Based on a Two-Level Schwarz Method, -Computing, 63, 1999, 233-263.

      3 -
      -W. L. Briggs, V. E. Henson, S. F. McCormick, -A Multigrid Tutorial, Second Edition, -SIAM, 2000.

      4 -
      -A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, -Extending PSBLAS to Build Parallel Schwarz Preconditioners, -in J. Dongarra, K. Madsen, J. Wasniewski, editors, -Proceedings of PARA 04 Workshop on State of the Art -in Scientific Computing, Lecture Notes in Computer Science, -Springer, 2005, 593-602.

      5 -
      -A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, -2LEV-D2P4: a package of high-performance preconditioners -for scientific and engineering applications, -Applicable Algebra in Engineering, Communications and Computing, -18 (3) 2007, 223-239.

      6 -
      -X. C. Cai, M. Sarkis, -A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems, -SIAM Journal on Scientific Computing, 21 (2), 1999, 792-797.

      7 -
      -P. D'Ambra, S. Filippone, D. di Serafino, -On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners, -Applied Numerical Mathematics, Elsevier Science, -57 (11-12), 2007, 1181-1196.

      8 -
      -P. D'Ambra, D. di Serafino, S. Filippone, -MLD2P4: a Package of Parallel Multilevel -Algebraic Domain Decomposition Preconditioners -in Fortran 95, ACM Trans. Math. Softw., 37(3), 2010, art. 30.

      9 -
      -T. A. Davis, -Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal -Method with a Column Pre-ordering Strategy, -ACM Transactions on Mathematical Software, 30, 2004, 196-199. -(See also http://www.cise.ufl.edu/ davis/)

      10 -
      -J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, J. W. H. Liu, -A supernodal approach to sparse partial pivoting, -SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 720-755.

      11 -
      -J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling, -A set of Level 3 Basic Linear Algebra Subprograms, -ACM Transactions on Mathematical Software, 16 (1) 1990, 1-17.

      12 -
      -J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson, -An extended set of FORTRAN Basic Linear Algebra Subprograms, -ACM Transactions on Mathematical Software, 14 (1) 1988, 1-17.

      13 -
      -S. Filippone, A. Buttari, -PSBLAS-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library, 2012, -available from http://www.ce.uniroma2.it/psblas/.

      14 -
      -S. Filippone, A. Buttari, -Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003. -ACM Transactions on on Mathematical Software, 38 (4), 2012, art. 23.

      15 -
      -S. Filippone, M. Colajanni, -PSBLAS: A Library for Parallel Linear Algebra -Computation on Sparse Matrices, -ACM Transactions on Mathematical Software, 26 (4), 2000, 527-550.

      16 -
      -W. Gropp, S. Huss-Lederman, A. Lumsdaine, E. Lusk, B. Nitzberg, W. Saphir, M. Snir, -MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions, -MIT Press, 1998.

      17 -
      -C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh, -Basic Linear Algebra Subprograms for FORTRAN usage, -ACM Transactions on Mathematical Software, 5 (3), 1979, 308-323.

      18 -
      -X. S. Li, J. W. Demmel, -SuperLU_DIST: A Scalable Distributed-memory -Sparse Direct Solver for Unsymmetric Linear Systems, -ACM Transactions on Mathematical Software, 29 (2), 2003, 110-140.

      19 -
      -Y. Notay, P. S. Vassilevski, -Recursive Krylov-based multigrid cycles, -Numerical Linear Algebra with Applications, 15 (5), 2008, 473-487.

      20 -
      -Y. Saad, -Iterative methods for sparse linear systems, 2nd edition, SIAM, 2003.

      21 -
      -B. Smith, P. Bjorstad, W. Gropp, -Domain Decomposition: Parallel Multilevel Methods for Elliptic -Partial Differential Equations, -Cambridge University Press, 1996.

      22 -
      -M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra, -MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, -MIT Press, 1998.

      23 -
      -K. Stüben, -An Introduction to Algebraic Multigrid, -in A. Schüller, U. Trottenberg, C. Oosterlee, Multigrid, -Academic Press, 2001.

      24 -
      -R. S. Tuminaro, C. Tong, -Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines, in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.

      25 -
      -P. Vanek, J. Mandel, M. Brezina, -Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems, -Computing, 56 (3) 1996, 179-196. +

      +
      +License +

      -

      +The MLD2P4 is freely distributable under the following copyright +terms: 
       
+
+ 
+                           MLD2P4  version 2.1
+  MultiLevel Domain Decomposition Parallel Preconditioners Package
+             based on PSBLAS (Parallel Sparse BLAS version 3.4)
+  
+  (C) Copyright 2008, 2010, 2012, 2017
+
+  Salvatore Filippone    Cranfield University, Cranfield, UK
+  Ambra Abdullahi Hassan University of Rome Tor Vergata, Rome, IT
+  Alfredo Buttari        CNRS-IRIT, Toulouse, FR
+  Pasqua D'Ambra         IAC-CNR, Naples, IT
+  Daniela di Serafino    University of Campania L. Vanvitelli, Caserta, IT
+
+  Redistribution and use in source and binary forms, with or without
+  modification, are permitted provided that the following conditions
+  are met:
+    1. Redistributions of source code must retain the above copyright
+       notice, this list of conditions and the following disclaimer.
+    2. Redistributions in binary form must reproduce the above copyright
+       notice, this list of conditions, and the following disclaimer in the
+       documentation and/or other materials provided with the distribution.
+    3. The name of the MLD2P4 group or the names of its contributors may
+       not be used to endorse or promote products derived from this
+       software without specific written permission.
+ 
+  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+  ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+  TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+  PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
+  BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+  CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+  SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+  INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+  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 12d71e5c..f4287919 100644 --- a/docs/html/node27.html +++ b/docs/html/node27.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -About this document ... - +Bibliography + @@ -18,52 +18,161 @@ original version by: Nikos Drakos, CBLU, University of Leeds + + -next - +next + up - previous - contents
      - Up: Next: About this document ... + Up: userhtml - Previous: Bibliography -   Previous: License +   Contents -
      -
      +

      + +

      +Bibliography +

      -

      -About this document ... -

      -

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

      -Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. -
      -Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. +

      1 +
      +P. R. Amestoy, C. Ashcraft, O. Boiteau, A. Buttari, J. L'Excellent, C. Weisbecker, +Improving multifrontal methods by means of block low-rank representations, +SIAM Journal on Scientific Computing, volume 37 (3), 2015, A1452-A1474. +See also http://mumps.enseeiht.fr.

      2 +
      +M. Brezina, P. Vanek, +A Black-Box Iterative Solver Based on a Two-Level Schwarz Method, +Computing, 63, 1999, 233-263.

      3 +
      +W. L. Briggs, V. E. Henson, S. F. McCormick, +A Multigrid Tutorial, Second Edition, +SIAM, 2000.

      4 +
      +A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, +Extending PSBLAS to Build Parallel Schwarz Preconditioners, +in J. Dongarra, K. Madsen, J. Wasniewski, editors, +Proceedings of PARA 04 Workshop on State of the Art +in Scientific Computing, Lecture Notes in Computer Science, +Springer, 2005, 593-602.

      5 +
      +A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, +2LEV-D2P4: a package of high-performance preconditioners +for scientific and engineering applications, +Applicable Algebra in Engineering, Communications and Computing, +18 (3) 2007, 223-239.

      6 +
      +X. C. Cai, M. Sarkis, +A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems, +SIAM Journal on Scientific Computing, 21 (2), 1999, 792-797.

      7 +
      +P. D'Ambra, S. Filippone, D. di Serafino, +On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners, +Applied Numerical Mathematics, Elsevier Science, +57 (11-12), 2007, 1181-1196.

      8 +
      +P. D'Ambra, D. di Serafino, S. Filippone, +MLD2P4: a Package of Parallel Multilevel +Algebraic Domain Decomposition Preconditioners +in Fortran 95, ACM Trans. Math. Softw., 37(3), 2010, art. 30.

      9 +
      +T. A. Davis, +Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal +Method with a Column Pre-ordering Strategy, +ACM Transactions on Mathematical Software, 30, 2004, 196-199. +(See also http://www.cise.ufl.edu/ davis/)

      10 +
      +J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, J. W. H. Liu, +A supernodal approach to sparse partial pivoting, +SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 720-755.

      11 +
      +J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling, +A set of Level 3 Basic Linear Algebra Subprograms, +ACM Transactions on Mathematical Software, 16 (1) 1990, 1-17.

      12 +
      +J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson, +An extended set of FORTRAN Basic Linear Algebra Subprograms, +ACM Transactions on Mathematical Software, 14 (1) 1988, 1-17.

      13 +
      +S. Filippone, A. Buttari, +PSBLAS-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library, 2012, +available from http://www.ce.uniroma2.it/psblas/.

      14 +
      +S. Filippone, A. Buttari, +Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003. +ACM Transactions on on Mathematical Software, 38 (4), 2012, art. 23.

      15 +
      +S. Filippone, M. Colajanni, +PSBLAS: A Library for Parallel Linear Algebra +Computation on Sparse Matrices, +ACM Transactions on Mathematical Software, 26 (4), 2000, 527-550.

      16 +
      +W. Gropp, S. Huss-Lederman, A. Lumsdaine, E. Lusk, B. Nitzberg, W. Saphir, M. Snir, +MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions, +MIT Press, 1998.

      17 +
      +C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh, +Basic Linear Algebra Subprograms for FORTRAN usage, +ACM Transactions on Mathematical Software, 5 (3), 1979, 308-323.

      18 +
      +X. S. Li, J. W. Demmel, +SuperLU_DIST: A Scalable Distributed-memory +Sparse Direct Solver for Unsymmetric Linear Systems, +ACM Transactions on Mathematical Software, 29 (2), 2003, 110-140.

      19 +
      +Y. Notay, P. S. Vassilevski, +Recursive Krylov-based multigrid cycles, +Numerical Linear Algebra with Applications, 15 (5), 2008, 473-487.

      20 +
      +Y. Saad, +Iterative methods for sparse linear systems, 2nd edition, SIAM, 2003.

      21 +
      +B. Smith, P. Bjorstad, W. Gropp, +Domain Decomposition: Parallel Multilevel Methods for Elliptic +Partial Differential Equations, +Cambridge University Press, 1996.

      22 +
      +M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra, +MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, +MIT Press, 1998.

      23 +
      +K. Stüben, +An Introduction to Algebraic Multigrid, +in A. Schüller, U. Trottenberg, C. Oosterlee, Multigrid, +Academic Press, 2001.

      24 +
      +R. S. Tuminaro, C. Tong, +Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines, in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.

      25 +
      +P. Vanek, J. Mandel, M. Brezina, +Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems, +Computing, 56 (3) 1996, 179-196. +

      -The command line arguments were:
      - latex2html -local_icons -noaddress -dir ../../html userhtml.tex +

      +

      -The translation was initiated by Salvatore Filippone on 2017-07-17

      diff --git a/docs/html/node28.html b/docs/html/node28.html index d5340175..48c10904 100644 --- a/docs/html/node28.html +++ b/docs/html/node28.html @@ -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 2017-05-16 +The translation was initiated by Salvatore Filippone on 2017-07-19

      diff --git a/docs/html/node3.html b/docs/html/node3.html index 7cdd18e4..3fdf3b30 100644 --- a/docs/html/node3.html +++ b/docs/html/node3.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Code Distribution - Up: Up: userhtml - Previous: Previous: Contents -   Contents

      @@ -60,9 +60,9 @@ General Overview 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]), + HREF="node27.html#Briggs2000">3,23,21]), to be used in the iterative solution of linear systems,
      @@ -95,8 +95,8 @@ multi-level cycles and smoothers widely used in multigrid methods. 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 [3,19] are available, which allow to define + HREF="node27.html#Briggs2000">3,19] are available, which allow to define almost all the preconditioners in the package, including the multi-level hybrid Schwarz ones; a specific cycle is implemented to obtain multi-level additive Schwarz preconditioners. The Jacobi, hybridforward/backward Gauss-Seidel, block-Jacobi, and additive Schwarz methods @@ -104,8 +104,8 @@ are available as smoothers. An algebraic approach is used to generate a hierarch coarse-level matrices and operators, without explicitly using any information on the geometry of the original problem, e.g., the discretization of a PDE. To this end, the smoothed aggregation technique [2,25] + HREF="node27.html#BREZINA_VANEK">2,25] is applied. Either exact or approximate solvers can be used on the coarsest-level system. Specifically, different sparse LU factorizations from external packages, and native incomplete LU factorizations and Jacobi, hybrid Gauss-Seidel, @@ -126,8 +126,8 @@ interface. MLD2P4 has been designed to implement scalable and easy-to-use multilevel preconditioners in the context of the PSBLAS (Parallel Sparse BLAS) computational framework [15,14]. PSBLAS provides basic linear algebra + HREF="node27.html#psblas_00">15,14]. PSBLAS provides basic linear algebra operators and data management facilities for distributed sparse matrices, as well as parallel Krylov solvers which can be used with the MLD2P4 preconditioners. The choice of PSBLAS has been mainly motivated by the need of having @@ -150,14 +150,14 @@ few black-box routines at the upper layer allow all users to easily 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 [*]). +Section 7).

      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 + HREF="node27.html#MLD2P4_TOMS">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. @@ -171,34 +171,34 @@ preconditioners with the Krylov solvers implemented in PSBLAS are reported in Section 5, where the Fortran codes of a few sample programs are also shown. A reference guide for the user interface routines is provided in Section 6. Information on the extension of the package -through the addition of new smoothers and solvers is reported in Section [*]. +through the addition of new smoothers and solvers is reported in Section 7. The error handling mechanism used by the package -is briefly described in Section 7. The copyright terms concerning the -distribution and modification of MLD2P4 are reported in Appendix A. +is briefly described in Section 8. The copyright terms concerning the +distribution and modification of MLD2P4 are reported in Appendix A.

      - next - up - previous - contents
      - Next: Next: Code Distribution - Up: Up: userhtml - Previous: Previous: Contents -   Contents diff --git a/docs/html/node4.html b/docs/html/node4.html index 17c69ee8..8acd49b6 100644 --- a/docs/html/node4.html +++ b/docs/html/node4.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Configuring and Building MLD2P4 - Up: Up: userhtml - Previous: Previous: General Overview -   Contents

      @@ -66,7 +66,7 @@ where contact points for further information can be also found.

      The software is available under a modified BSD license, as specified -in Appendix A; please note that some of the optional +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. diff --git a/docs/html/node5.html b/docs/html/node5.html index b37cef8f..259d774f 100644 --- a/docs/html/node5.html +++ b/docs/html/node5.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Prerequisites - Up: Up: userhtml - Previous: Previous: Code Distribution -   Contents

      @@ -88,40 +88,40 @@ optional software used by MLD2P4 is given in the next sections. Subsections

      - next - up - previous - contents
      - Next: Next: Prerequisites - Up: Up: userhtml - Previous: Previous: Code Distribution -   Contents diff --git a/docs/html/node6.html b/docs/html/node6.html index 3a44d332..a0a3bf37 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Optional third party libraries - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Configuring and Building MLD2P4 -   Contents

      @@ -61,9 +61,9 @@ The following base libraries are needed:
      BLAS
      [11,12,17] Many vendors provide optimized versions + HREF="node27.html#blas3">11,12,17] Many vendors provide optimized versions of BLAS; if no vendor version is available for a given platform, the ATLAS software (
      MPI
      [16,22] A version of MPI is available on most + HREF="node27.html#MPI2">16,22] A version of MPI is available on most high-performance computing systems.
      PSBLAS
      [13,15] Parallel Sparse BLAS (PSBLAS) is + HREF="node27.html#PSBLASGUIDE">13,15] Parallel Sparse BLAS (PSBLAS) is available from www.ce.uniroma2.it/psblas; version 3.5.0 (or later) is required. Indeed, all the prerequisites @@ -109,26 +109,26 @@ compiler as MLD2P4.

      - next - up - previous - contents
      - Next: Next: Optional third party libraries - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Configuring and Building MLD2P4 -   Contents diff --git a/docs/html/node7.html b/docs/html/node7.html index b0ee2a68..138a2857 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Configuration options - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Prerequisites -   Contents

      @@ -65,7 +65,7 @@ for multi-level preconditioners may change to reflect their presence.
      UMFPACK
      [9] + HREF="node27.html#UMFPACK">9] A sparse LU factorization package included in the SuiteSparse library, available from faculty.cse.tamu.edu/davis/suitesparse.html; @@ -76,7 +76,7 @@ for multi-level preconditioners may change to reflect their presence.
      MUMPS
      [1] + HREF="node27.html#MUMPS">1] A sparse LU factorization package available from mumps.enseeiht.fr; it provides sequential and parallel factorizations and triangular system solution @@ -85,7 +85,7 @@ for multi-level preconditioners may change to reflect their presence.
      SuperLU
      [10] + HREF="node27.html#SUPERLU">10] A sparse LU factorization package available from crd.lbl.gov/~xiaoye/SuperLU/; it provides sequential @@ -96,7 +96,7 @@ for multi-level preconditioners may change to reflect their presence.
      SuperLU_Dist
      [18] + HREF="node27.html#SUPERLUDIST">18] A sparse LU factorization package available from the same site as SuperLU; it provides parallel factorization and triangular system solution for double precision real and complex data. @@ -113,26 +113,26 @@ for multi-level preconditioners may change to reflect their presence.

      - next - up - previous - contents
      - Next: Next: Configuration options - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Prerequisites -   Contents diff --git a/docs/html/node8.html b/docs/html/node8.html index 40db8486..636235de 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Bug reporting - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Optional third party libraries -   Contents

      @@ -262,26 +262,26 @@ followed (optionally) by make install
      - next - up - previous - contents
      - Next: Next: Bug reporting - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Optional third party libraries -   Contents diff --git a/docs/html/node9.html b/docs/html/node9.html index 3ba9fb3f..94aab81d 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
      - Next: Next: Example and test programs - Up: Up: Configuring and Building MLD2P4 - Previous: Previous: Configuration options -   Contents

      diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index a627bdd3..15fa8c28 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -136,13 +136,15 @@ Feb. 28, 2017
    1. Error Handling + HREF="node24.html">Adding new smoother and solver objects to MLD2P4
    2. License + HREF="node25.html">Error Handling
    3. Bibliography + HREF="node26.html">License
    4. About this document ... + HREF="node27.html">Bibliography +
    5. About this document ...
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