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HREF="node25.html#dd2_96">21].

Additive Schwarz preconditioners are DD preconditioners using overlapping submatrices, i.e. with some common rows, to couple the local information related to the submatrices (see, e.g., [20]). + HREF="node25.html#dd2_96">21]). The main motivation for choosing Additive Schwarz preconditioners is their intrinsic parallelism. A drawback of these preconditioners is that the number of iterations of the preconditioned solvers @@ -99,7 +99,7 @@ correction. In this context, the one-level preconditioner is often called `smoother'. Different two-level preconditioners are obtained by varying the choice of the smoother and of the coarse-level correction, and the way they are combined [20]. The same reasoning can be applied starting + HREF="node25.html#dd2_96">21]. The same reasoning can be applied starting from the coarse-level system, i.e. a coarse-space correction can be built from this system, thus obtaining multi-level preconditioners. @@ -123,24 +123,25 @@ are considered. The algebraic approach builds coarse-space corrections using onl information. It performs a fully automatic coarsening and enforces the interplay between the fine and coarse levels by suitably choosing the coarse space and the coarse-to-fine interpolation [22]. + HREF="node25.html#StubenGMD69_99">23].

MLD2P4 uses a pure algebraic approach for building the sequence of coarse matrices starting from the original matrix. The algebraic approach is based on the smoothed aggregation algorithm [1,24]. A decoupled version + HREF="node25.html#VANEK_MANDEL_BREZINA">25]. A decoupled version of this algorithm is implemented, where the smoothed aggregation is applied locally to each submatrix [23]. In the next two subsections we provide + HREF="node25.html#TUMINARO_TONG">24]. In the next two subsections we provide a brief description of the multi-level Schwarz preconditioners and of the smoothed aggregation technique as implemented in MLD2P4. For further details the reader is referred to [2,3,4,,20]. + HREF="node25.html#apnum_07">4,8,21].


diff --git a/docs/html/node12.html b/docs/html/node12.html index ee2f8810..290e5223 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -299,7 +299,7 @@ ILU($p,t$) [19, Chapter 10]. + HREF="node25.html#Saad_book">20, Chapter 10].

A variant of the classical AS preconditioner that outperforms it @@ -307,7 +307,7 @@ in terms of convergence rate and of computation and communication time on parallel distributed-memory computers is the so-called Restricted AS (RAS) preconditioner [5,13]. It + HREF="node25.html#EFSTATHIOU">14]. It is obtained by zeroing the components of $W$ increases [7,20]. To reduce the dependency + HREF="node25.html#dd2_96">21]. To reduce the dependency of the number of iterations on the degree of parallelism we may introduce a global coupling among the overlapping partitions by defining a coarse-space approximation multi-level preconditioners, can significantly reduce the computational cost of preconditioning with respect to the two-level case (see [20, Chapter 3]). + HREF="node25.html#dd2_96">21, Chapter 3]). Additive and hybrid multilevel preconditioners are obtained as direct extensions of the two-level counterparts. For a detailed descrition of them, the reader is referred to [20, Chapter 3]. + HREF="node25.html#dd2_96">21, Chapter 3]. The algorithm for the application of a multi-level hybrid post-smoothed preconditioner $A_1=A$, while the related restriction operator is denoted by $R_l$. @@ -724,14 +724,14 @@ $w = y_1$; }$ --> \framebox{ \begin{minipage}{.85\textwidth} {\small \begin{tabbing} \quad \=\quad... ...= y_l+r_l$\\ -\textbf{endfor} [1mm] +\textbf{endfor} \ [1mm] $w = y_1$; \end{tabbing}} \end{minipage}} diff --git a/docs/html/node13.html b/docs/html/node13.html index 18fd24ae..a94d4310 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -70,7 +70,7 @@ the coarse-level matrix $A_C$, MLD2P4 uses the smoothed aggregation algorithm described in [1,24]. + HREF="node25.html#VANEK_MANDEL_BREZINA">25]. The basic idea of this algorithm is to build a coarse set of vertices 4]. According to [24], a modification of + HREF="node25.html#VANEK_MANDEL_BREZINA">25], a modification of this algorithm has been actually considered, in which each aggregate $\theta \in [0,1]$. Since this algorithm has a sequential nature, a decoupled version of it has been chosen, where each processor $i$ independently applies the algorithm to the set of vertices 3,4,23]. + HREF="node25.html#TUMINARO_TONG">24].

The prolongator $P \in \Re^{n \times n_C}$, defined as
@@ -257,7 +257,7 @@ in order to remove oscillatory components from the range of the prolongator and hence to improve the convergence properties of the multi-level Schwarz method [1,22]. + HREF="node25.html#StubenGMD69_99">23]. A simple choice for $\omega$ can be chosen using some estimate of the spectral radius of $D^{-1}A$ [1]. diff --git a/docs/html/node14.html b/docs/html/node14.html index f0875a6b..cc752241 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -63,7 +63,7 @@ Getting Started

We describe the basics for building and applying MLD2P4 one-level and multi-level Schwarz preconditioners with the Krylov solvers included in PSBLAS [14]. + HREF="node25.html#PSBLASGUIDE">15]. The following steps are required:

    diff --git a/docs/html/node15.html b/docs/html/node15.html index 71321031..f6778b76 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -79,7 +79,7 @@ in the directory examples/fileread of the MLD2P4 tree (see Section 3.5). For details on the use of the PSBLAS routines, see the PSBLAS User's Guide [14]. + HREF="node25.html#PSBLASGUIDE">15].

    The setup and application of the default multi-level @@ -165,7 +165,7 @@ Figure 3 shows how to set a three-level hybrid Sc preconditioner, which uses block Jacobi with ILU(0) on the local blocks as post-smoother, has a coarsest matrix replicated on the processors, and solves the coarsest-level system with the LU factorization from UMFPACK [8]. + HREF="node25.html#UMFPACK">9]. The number of levels is specified by using mld_precinit; the other preconditioner parameters are set by calling mld_precset. Note that the type of multilevel framework (i.e. multiplicative among the levels diff --git a/docs/html/node16.html b/docs/html/node16.html index 2e3e2353..ff796559 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -90,7 +90,7 @@ i.e. WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img21.png" ALT="$v$"> and $w$ involved in the preconditioner application mld_sub_ovr_ integer any int. num. $\ge 0$ 1 @@ -240,7 +240,7 @@ Parameters defining the one-level preconditioner used as smoother. mld_sub_fillin_ integer Any int. num. $\ge 0$ 0 @@ -252,7 +252,7 @@ Parameters defining the one-level preconditioner used as smoother. mld_sub_iluthrs_ real(kind_parameter) Any real num. $\ge 0$ 0 @@ -332,7 +332,7 @@ Parameters defining the aggregation algorithm. smoothed aggregation should be computed: either via an estimate of the spectral radius of $D^{-1}A$, or explicily specified by the user. @@ -342,7 +342,7 @@ Parameters defining the aggregation algorithm. 'A_NORMI' 'A_NORMI' How to estimate the spectral radius of $D^{-1}A$. Currently only the infinity norm estimate @@ -371,7 +371,7 @@ Parameters defining the aggregation algorithm. SRC="img94.png" ALT="$\rho(D^{-1}A)$"> of $D^{-1}A$. @@ -441,7 +441,7 @@ level. mld_coarse_sweeps_ integer Any int. num. $> 0$ 4 @@ -451,7 +451,7 @@ level. mld_coarse_fillin_ integer Any int. num. $\ge 0$ 0 @@ -463,7 +463,7 @@ level. mld_coarse_iluthrs_ real(kind_parameter) Any real. num. $\ge 0$ 0 diff --git a/docs/html/node19.html b/docs/html/node19.html index 1970a03c..8dd90eb1 100644 --- a/docs/html/node19.html +++ b/docs/html/node19.html @@ -84,7 +84,7 @@ the user through the routines mld_precinit and mld_precset14]. + HREF="node25.html#PSBLASGUIDE">15]. desc_a type(psb_desc_type), intent(in). @@ -92,7 +92,7 @@ single/double precision version of MLD2P4 under use.   The communication descriptor of a. See the PSBLAS User's Guide for details [14]. + HREF="node25.html#PSBLASGUIDE">15]. p type(mld_xprec_type), intent(inout). diff --git a/docs/html/node20.html b/docs/html/node20.html index 3f2675b6..e686cdc0 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -72,14 +72,14 @@ This routine computes $y = op(M^{-1}) x$, where $M$ is a previously built preconditioner, stored into p, and $op$ denotes the preconditioner itself or its transpose, according to @@ -109,7 +109,7 @@ and hence it is completely transparent to the user.   The local part of the vector $x$. Note that type and kind_parameter must be chosen according @@ -120,7 +120,7 @@ and hence it is completely transparent to the user.   The local part of the vector $y$. Note that type and kind_parameter must be chosen according diff --git a/docs/html/node23.html b/docs/html/node23.html index 109cddb3..358f6835 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -72,7 +72,7 @@ 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 [14]. + HREF="node25.html#PSBLASGUIDE">15].

    diff --git a/docs/html/node25.html b/docs/html/node25.html index 2e0d9403..ed275977 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -73,7 +73,8 @@ Proceedings of PARA 04 Workshop on State of the Art in Scientific Computing, Lecture Notes in Computer Science, Springer, 2005, 593-602.

    3 -
    A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, +
    +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, @@ -101,95 +102,101 @@ T. Chan and T. Mathew, Domain Decomposition Algorithms, in A. Iserles, editor, Acta Numerica 1994, 61-143. Cambridge University Press. -

    8 +

    8 +
    +P. D'Ambra, D. di Serafino, S. Filippone, +MLD2P4: a Package of Parallel Multilevel +Algebraic Domain Decomposition Preconditioners +in Fortran 95, ICAR-CNR Technical Report RT-ICAR-NA-09-01, 2009. +

    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/) -

    9 +

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

    10 +

    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, 1990, 1-17. -

    11 +

    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, 1988, 1-17. -

    12 +

    13
    J. J. Dongarra and R. C. Whaley, A User's Guide to the BLACS v. 1.1, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of Tennessee, March 1995 (updated May 1997). -

    13 +

    14
    E. Efstathiou, J. G. Gander, Why Restricted Additive Schwarz Converges Faster than Additive Schwarz, BIT Numerical Mathematics, 43, 2003, 945-959. -

    14 +

    15
    S. Filippone, A. Buttari, PSBLAS-2.3 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library, 2008, available from http://www.ce.uniroma2.it/psblas/. -

    15 +

    16
    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 +

    17
    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 +

    18
    C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh, Basic Linear Algebra Subprograms for FORTRAN usage, ACM Transactions on Mathematical Software, 5, 1979, 308-323. -

    18 +

    19
    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 +

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

    -

    20 +

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

    21 +

    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. -

    22 +

    23
    K. Stüben, Algebraic Multigrid (AMG): an Introduction with Applications, in A. Schüller, U. Trottenberg, C. Oosterlee, editors, Multigrid, Academic Press, 2000. -

    23 +

    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. -

    24 +

    25
    P. Vanek, J. Mandel and M. Brezina, Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems, diff --git a/docs/html/node26.html b/docs/html/node26.html index 6f3e7f52..e2a9045f 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -67,7 +67,7 @@ Mathematics Department, Macquarie University, Sydney. The command line arguments were:
    latex2html -noaddress -dir ../../html userhtml.tex

    -The translation was initiated by Salvatore Filippone on 2009-03-13 +The translation was initiated by Salvatore Filippone on 2009-03-16

    diff --git a/docs/html/node3.html b/docs/html/node3.html index 530af21c..d93d0af8 100644 --- a/docs/html/node3.html +++ b/docs/html/node3.html @@ -63,7 +63,7 @@ General Overview

    The MULTI-LEVEL DOMAIN DECOMPOSITION PARALLEL PRECONDITIONERS PACKAGE BASED ON PSBLAS (MLD2P4) provides multi-level Schwarz preconditioners [20], + HREF="node25.html#dd2_96">21], to be used in the iterative solutions of sparse linear systems:

    @@ -102,7 +102,7 @@ explicitly using any information on the geometry of the original problem (e.g. t discretization of a PDE). The smoothed aggregation technique is applied as algebraic coarsening strategy [1,24]. + HREF="node25.html#VANEK_MANDEL_BREZINA">25]. @@ -120,7 +120,7 @@ real and the complex case, that can be used through a single 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]. + HREF="node25.html#psblas_00">16]. PSBLAS is a library originally developed to address the parallel implementation of iterative solvers for sparse linear system, by providing basic linear algebra operators and data management facilities for distributed sparse matrices; it @@ -133,10 +133,10 @@ portability, modularity ed extensibility in the development of the preconditione package. On the other hand, the implementation of MLD2P4 has led to some revisions and extentions of the PSBLAS kernels, leading to the recent PSBLAS 2.0 version [14]. The inter-process comunication required + HREF="node25.html#PSBLASGUIDE">15]. The inter-process comunication required by MLD2P4 is encapsulated into the PSBLAS routines, except few cases where MPI [21] is explicitly called. Therefore, MLD2P4 can be run on any parallel + HREF="node25.html#MPI1">22] is explicitly called. Therefore, MLD2P4 can be run on any parallel machine where PSBLAS and MPI implementations are available.

    diff --git a/docs/html/node6.html b/docs/html/node6.html index 525ea70e..2f151873 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -64,9 +64,9 @@ The following base libraries are needed:

    BLAS
    [10,11,17] Many vendors provide optimized versions + HREF="node25.html#blas3">11,12,18] Many vendors provide optimized versions of the Basic Linear Algebra Subprograms; if no vendor version is available for a given platform, the ATLAS software (http://math-atlas.sourceforge.net/) @@ -81,13 +81,13 @@ The following base libraries are needed:
    MPI
    [16,21] A version of MPI is available on most + HREF="node25.html#MPI2">17,22] A version of MPI is available on most high-performance computing systems; only version 1.1 is required.
    BLACS
    [12] The Basic Linear Algebra Communication Subprograms + HREF="node25.html#BLACS">13] The Basic Linear Algebra Communication Subprograms are available in source form from http://www.netlib.org/blacs; some vendors include them in their parallel computing support libraries. @@ -95,8 +95,8 @@ The following base libraries are needed:
    PSBLAS
    [14,15] Parallel Sparse BLAS is + HREF="node25.html#PSBLASGUIDE">15,16] Parallel Sparse BLAS is available from
    http://www.ce.uniroma2.it/psblas; version 2.3.1 (or later) is required. Indeed, all the prerequisites diff --git a/docs/html/node7.html b/docs/html/node7.html index 2545c516..3e8e62e6 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -68,7 +68,7 @@ for multilevel preconditioners may change to reflect their presence.
    UMFPACK
    [8] + HREF="node25.html#UMFPACK">9] A sparse direct factorization package available from
    http://www.cise.ufl.edu/research/sparse/umfpack/; provides serial factorization and triangular system solution for double @@ -77,7 +77,7 @@ for multilevel preconditioners may change to reflect their presence.
    SuperLU
    [9] + HREF="node25.html#SUPERLU">10] A sparse direct factorization package available from
    http://crd.lbl.gov/~xiaoye/SuperLU/; provides serial factorization and triangular system solution for single and double precision, @@ -85,7 +85,7 @@ for multilevel preconditioners may change to reflect their presence.
    SuperLU_Dist
    [18] + HREF="node25.html#SUPERLUDIST">19] A sparse direct factorization package available from the same site as SuperLU; provides parallel factorization and triangular system solution for double precision real and complex data. diff --git a/docs/mld2p4-1.1-guide.pdf b/docs/mld2p4-1.1-guide.pdf index 1e0f5cfd..53ace0ee 100644 --- a/docs/mld2p4-1.1-guide.pdf +++ b/docs/mld2p4-1.1-guide.pdf @@ -710,7 +710,7 @@ BT 0 g 0 G /F17 14.3462 Tf -406.997 -35.866 Td [(1)-1125(General)-375(Ov)31(erview)]TJ/F15 10.9091 Tf 0 -24.352 Td [(The)]TJ/F41 10.9091 Tf 23.408 0 Td [(Mul)67(ti-Level)-473(Domain)-472(Decomposition)-472(P)87(arallel)-472(Preconditioners)-473(P)88(a)22(ck-)]TJ -23.408 -13.549 Td [(a)22(ge)-278(based)-277(on)-278(PSBLAS)-278(\050MLD2P)1(4)]TJ/F15 10.9091 Tf 174.54 0 Td [(\051)-238(pro)28(vides)]TJ/F18 10.9091 Tf 48.921 0 Td [(multi-level)-270(Schwarz)-270(pr)51(e)51(c)51(onditioners)]TJ/F15 10.9091 Tf 168.99 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(20)]TJ + [(21)]TJ 0 g 0 G [(],)]TJ -392.451 -13.549 Td [(to)-333(b)-28(e)-333(used)-334(in)-333(the)-333(iterativ)27(e)-333(solutions)-333(of)-333(s)-1(p)1(arse)-334(linear)-333(systems:)]TJ/F22 10.9091 Tf 186.98 -23.153 Td [(Ax)]TJ/F15 10.9091 Tf 17.446 0 Td [(=)]TJ/F22 10.9091 Tf 11.516 0 Td [(b;)]TJ 0 g 0 G @@ -730,19 +730,19 @@ BT 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-284(24)]TJ + [-284(25)]TJ 0 g 0 G [(].)]TJ -114.289 -21.385 Td [(The)-287(pac)28(k)56(age)-287(is)-287(written)-286(in)]TJ/F18 10.9091 Tf 122.396 0 Td [(F)77(ortr)51(an)-315(95)]TJ/F15 10.9091 Tf 50.422 0 Td [(,)-296(follo)28(wing)-287(an)]TJ/F18 10.9091 Tf 66.455 0 Td [(obje)51(ct-oriente)51(d)-315(appr)52(o)51(ach)]TJ/F15 10.9091 Tf 118.635 0 Td [(through)]TJ -374.845 -13.55 Td [(the)-330(e)-1(xp)1(loitation)-331(of)-330(features)-331(suc)28(h)-330(as)-331(abstract)-330(data)-331(t)28(yp)-28(e)-330(creation,)-331(functional)-331(o)28(v)28(erloading)]TJ 0 -13.549 Td [(and)-360(dynamic)-360(memory)-360(managemen)28(t.)-525(The)-360(parallel)-360(implemen)28(tation)-360(is)-360(based)-360(on)-360(a)-360(Single)]TJ 0 -13.549 Td [(Program)-231(Mul)1(tiple)-231(Data)-231(\050SPMD\051)-230(paradigm)-231(for)-230(distributed-memory)-231(arc)28(hitectures.)-410(Single)]TJ 0 -13.549 Td [(and)-377(double)-376(precis)-1(i)1(on)-377(implemen)27(tat)1(ions)-377(of)-377(MLD2P4)-377(are)-377(a)28(v)56(ailable)-377(for)-377(b)-28(oth)-376(the)-377(real)-377(and)]TJ 0 -13.549 Td [(the)-333(complex)-334(case,)-333(that)-333(can)-334(b)-27(e)-334(used)-333(through)-333(a)-334(single)-333(in)28(terface.)]TJ 16.937 -13.549 Td [(MLD2P4)-229(has)-230(b)-27(e)-1(en)-229(designed)-229(to)-230(implemen)28(t)-230(scalable)-229(and)-229(easy-to-use)-230(m)28(ultilev)28(el)-230(precon-)]TJ -16.937 -13.55 Td [(ditioners)-348(in)-348(the)-349(con)28(text)-348(of)-348(the)]TJ/F18 10.9091 Tf 147.432 0 Td [(PSBLAS)-372(\050Par)52(al)-52(l)1(el)-372(Sp)51(arse)-371(BLAS\051)-372(c)51(omputational)-371(fr)51(ame-)]TJ -147.432 -13.549 Td [(work)]TJ/F15 10.9091 Tf 27.287 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(15)]TJ + [(16)]TJ 0 g 0 G [(].)-454(PSBLAS)-336(is)-336(a)-337(library)-336(originally)-336(dev)28(elop)-28(ed)-337(to)-336(address)-336(the)-337(parallel)-336(implemen-)]TJ -27.287 -13.549 Td [(tation)-442(of)-442(iterativ)28(e)-442(solv)28(ers)-442(for)-442(sparse)-442(linear)-442(system,)-469(b)28(y)-442(pro)28(viding)-442(basic)-442(linear)-442(algebra)]TJ 0 -13.549 Td [(op)-28(erators)-442(and)-442(data)-442(managemen)27(t)-442(facilities)-442(for)-442(distributed)-442(sparse)-443(matrices;)-496(it)-443(also)-442(in-)]TJ 0 -13.549 Td [(cludes)-337(parallel)-337(Krylo)28(v)-337(solv)28(ers,)-338(built)-337(on)-336(the)-337(top)-337(of)-337(the)-337(basic)-337(PSBLAS)-337(k)28(ernels.)-455(The)-337(pre-)]TJ 0 -13.55 Td [(conditioners)-379(a)27(v)56(ailable)-380(in)-379(MLD2P4)-380(can)-379(b)-28(e)-379(used)-380(with)-379(these)-380(Krylo)28(v)-380(solv)28(ers.)-583(The)-380(c)28(hoice)]TJ 0 -13.549 Td [(of)-362(PSBLAS)-361(has)-362(b)-28(een)-361(mainly)-362(motiv)56(ated)-362(b)28(y)-362(the)-362(need)-361(of)-362(ha)28(ving)-362(a)-361(p)-28(ortable)-362(and)-361(e\016cien)27(t)]TJ 0 -13.549 Td [(soft)28(w)28(are)-313(infrastructure)-312(implemen)28(ting)-312(\134de)-313(facto")-312(standard)-312(parallel)-312(sparse)-313(linear)-312(algebra)]TJ 0 -13.549 Td [(k)28(ernels,)-304(to)-297(pursue)-297(goals)-296(suc)27(h)-296(as)-297(p)-28(erformance,)-304(p)-28(or)1(tabilit)27(y)84(,)-304(mo)-28(dularit)28(y)-297(ed)-296(e)-1(xt)1(e)-1(nsib)1(ilit)27(y)-296(in)]TJ 0 -13.549 Td [(the)-272(dev)27(elopmen)28(t)-272(of)-273(the)-272(preconditioner)-272(pac)27(k)56(age.)-424(On)-273(the)-272(other)-272(hand,)-285(the)-272(implemen)27(tation)]TJ 0 -13.55 Td [(of)-379(MLD2P4)-378(has)-379(led)-379(to)-379(some)-379(revisions)-379(and)-378(exten)27(tion)1(s)-379(of)-379(the)-379(PSBLAS)-379(k)28(ernels,)-390(leading)]TJ 0 -13.549 Td [(to)-439(the)-439(recen)28(t)-439(PSBLAS)-439(2.0)-438(v)27(ersion)-438([)]TJ 1 0 0 rg 1 0 0 RG - [(14)]TJ + [(15)]TJ 0 g 0 G [(].)-761(The)-439(in)27(t)1(e)-1(r-p)1(ro)-28(cess)-439(com)27(uni)1(c)-1(ati)1(on)-439(required)-439(b)28(y)]TJ 0 -13.549 Td [(MLD2P4)-355(is)-354(encapsulated)-355(in)28(to)-355(the)-354(PSBLAS)-355(routines,)-360(except)-354(few)-355(cases)-355(where)-354(MPI)-355([)]TJ 1 0 0 rg 1 0 0 RG - [(21)]TJ + [(22)]TJ 0 g 0 G [(])]TJ 0 -13.549 Td [(is)-458(explicitly)-458(called.)-818(Therefore,)-489(MLD2P4)-458(can)-457(b)-28(e)-458(run)-458(on)-458(an)28(y)-458(parallel)-457(mac)27(hine)-458(where)]TJ 0 -13.549 Td [(PSBLAS)-333(and)-334(M)1(PI)-334(implemen)28(tations)-333(are)-334(a)28(v)56(ailable.)]TJ 16.937 -13.55 Td [(MLD2P4)-342(has)-341(a)-342(la)28(y)28(ered)-342(and)-342(mo)-27(dular)-342(soft)28(w)28(are)-342(arc)28(hitecture)-342(where)-342(th)1(ree)-342(main)-342(la)28(y)28(ers)]TJ -16.937 -13.549 Td [(can)-458(b)-28(e)-458(iden)28(ti\014ed.)-819(The)-458(lo)28(w)28(er)-458(la)27(y)28(er)-458(consists)-458(of)-458(the)-458(PSBLAS)-458(k)28(ernels,)-490(the)-458(middle)-458(one)]TJ 0 -13.549 Td [(implemen)28(ts)-458(the)-457(construction)-457(and)-458(application)-457(phases)-458(of)-457(the)-457(preconditioners,)-489(and)-457(the)]TJ 0 g 0 G @@ -990,15 +990,15 @@ BT 0 g 0 G /F15 10.9091 Tf 38.378 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(10)]TJ + [(11)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-315(11)]TJ + [-315(12)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-316(17)]TJ + [-316(18)]TJ 0 g 0 G [(])-315(Man)28(y)-316(v)28(endors)-315(pro)28(vide)-316(opt)1(im)-1(i)1(z)-1(ed)-315(v)28(ersions)-316(of)-315(the)-315(Basic)-316(Linear)-315(Alge-)]TJ -11.105 -13.549 Td [(bra)-229(Subprograms;)-264(if)-229(no)-229(v)28(e)-1(n)1(dor)-230(v)28(ersion)-229(is)-229(a)27(v)56(ailable)-229(for)-229(a)-230(giv)28(en)-229(platform,)-250(the)-229(A)83(TLAS)]TJ 0 -13.549 Td [(soft)28(w)28(are)-404(\050)]TJ/F44 10.9091 Tf 47.821 0 Td [(http://math-atlas.sourceforge.net/)]TJ/F15 10.9091 Tf 194.726 0 Td [(\051)-403(ma)28(y)-403(b)-28(e)-403(emplo)27(y)28(ed.)-653(The)-404(ref-)]TJ -242.547 -13.55 Td [(erence)-415(BLAS)-414(from)-415(Netlib)-414(\050)]TJ/F44 10.9091 Tf 132.392 0 Td [(http://www.netlib.org/blas)]TJ/F15 10.9091 Tf 148.908 0 Td [(\051)-415(ar)1(e)-415(mean)28(t)-415(to)-414(de\014ne)]TJ -281.3 -13.549 Td [(the)-332(stand)1(ard)-332(b)-28(eha)28(viour)-331(of)-332(the)-331(BLAS)-332(in)28(terface,)-332(so)-332(they)-331(are)-332(not)-331(optimized)-332(for)-331(an)27(y)]TJ 0 -13.549 Td [(particular)-396(plaftorm,)-412(and)-396(should)-397(onl)1(y)-397(b)-28(e)-396(used)-396(as)-397(a)-396(last)-396(resort.)-634(Note)-396(that)-396(BLAS)]TJ 0 -13.549 Td [(computations)-223(form)-222(a)-223(relativ)28(e)-1(l)1(y)-223(small)-223(part)-223(of)-223(the)-222(MLD2P4/PSBLAS)-223(computations;)]TJ 0 -13.549 Td [(they)-308(are)-308(ho)28(w)28(ev)28(er)-308(critical)-308(when)-308(using)-307(preconditioners)-308(based)-308(on)-308(the)-307(UMFP)83(A)28(CK)-308(or)]TJ 0 -13.549 Td [(Sup)-28(erLU)-333(third)-333(part)28(y)-334(libr)1(aries)-1(.)]TJ 0 g 0 G @@ -1006,11 +1006,11 @@ BT 0 g 0 G /F15 10.9091 Tf 30.697 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(16)]TJ + [(17)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-340(21)]TJ + [-340(22)]TJ 0 g 0 G [(])-340(A)-341(v)28(ersion)-340(of)-340(MPI)-340(is)-341(a)28(v)56(ailable)-341(on)-340(most)-340(high-p)-28(erformance)-340(computing)-340(sys-)]TJ -3.424 -13.549 Td [(tems;)-333(only)-334(v)28(ersion)-333(1.1)-333(is)-334(required.)]TJ 0 g 0 G @@ -1018,7 +1018,7 @@ BT 0 g 0 G /F15 10.9091 Tf 47.09 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(12)]TJ + [(13)]TJ 0 g 0 G [(])-342(The)-342(Basic)-342(Linear)-342(Algebra)-342(Comm)28(unication)-342(Subprograms)-342(are)-342(a)28(v)56(ailable)-342(in)]TJ -19.817 -13.55 Td [(source)-296(form)-297(from)]TJ/F44 10.9091 Tf 83.789 0 Td [(http://www.netlib.org/blacs)]TJ/F15 10.9091 Tf 154.635 0 Td [(;)-309(some)-296(v)28(endors)-297(include)-296(them)-296(in)]TJ -238.424 -13.549 Td [(their)-333(parallel)-333(c)-1(ompu)1(ting)-334(supp)-27(ort)-334(libraries.)]TJ 0 g 0 G @@ -1026,11 +1026,11 @@ BT 0 g 0 G /F15 10.9091 Tf 53.924 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(14)]TJ + [(15)]TJ 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-333(15)]TJ + [-333(16)]TJ 0 g 0 G [(])-334(P)28(arallel)-333(Sparse)-333(BLAS)-334(is)-333(a)28(v)55(ailable)-333(from)]TJ/F44 10.9091 Tf -26.651 -13.549 Td [(http://www.ce.uniroma2.it/psblas)]TJ/F15 10.9091 Tf 183.27 0 Td [(;)-524(v)28(ersion)-460(2.3.1)-460(\050or)-460(later\051)-461(is)-460(required.)-825(In-)]TJ -183.27 -13.549 Td [(deed,)-303(all)-296(th)1(e)-296(prerequisites)-296(listed)-295(so)-296(far)-295(are)-296(also)-295(prerequisites)-296(of)-295(PSBLAS.)-296(T)83(o)-295(build)]TJ 0 -13.55 Td [(the)-302(MLD2P4)-302(library)-301(it)-302(is)-302(necessary)-302(to)-302(get)-302(access)-302(to)-302(the)-302(source)-302(PSBLAS)-302(directory)]TJ 0 -13.549 Td [(emplo)28(y)28(ed)-381(to)-381(build)-381(the)-381(v)28(ersion)-381(under)-380(use)-1(;)-404(after)-381(the)-381(MLD2P4)-381(bu)1(ild)-381(pro)-28(cess)-381(com-)]TJ 0 -13.549 Td [(pletes,)-368(only)-360(the)-361(compiled)-361(form)-361(of)-360(the)-361(PSBLAS)-361(library)-360(is)-361(necessary)-361(to)-361(build)-360(user)]TJ 0 -13.549 Td [(applications.)]TJ -10.337 -22.902 Td [(Please)-289(note)-289(that)-289(the)-290(fou)1(r)-290(pr)1(e)-1(vi)1(ous)-290(librar)1(ie)-1(s)-289(m)28(ust)-289(ha)28(v)28(e)-290(F)84(ortran)-289(in)28(terfaces)-290(compatible)]TJ -16.936 -13.549 Td [(with)-300(MLD2P4;)-311(usual)1(ly)-300(this)-300(means)-300(that)-300(th)1(e)-1(y)-299(should)-300(all)-300(b)-27(e)-300(built)-300(with)-300(the)-299(same)-300(compiler)]TJ 0 -13.549 Td [(as)-333(MLD2P4.)]TJ 0 g 0 G @@ -1116,7 +1116,7 @@ endobj /ProcSet [ /PDF /Text ] >> endobj 224 0 obj << -/Length 5602 +/Length 5603 >> stream 0 g 0 G @@ -1132,7 +1132,7 @@ BT 0 g 0 G /F15 10.9091 Tf 70.47 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(8)]TJ + [(9)]TJ 0 g 0 G [(])-333(A)-334(sparse)-333(direct)-333(factorization)-334(p)1(ac)27(k)56(age)-334(a)28(v)56(ailable)-333(from)]TJ/F44 10.9091 Tf -43.197 -13.549 Td [(http://www.cise.ufl.edu/research/sparse/umfpack/)]TJ/F15 10.9091 Tf 274.906 0 Td [(;)-359(pro)27(vides)-350(se)-1(r)1(ial)-351(factor-)]TJ -274.906 -13.549 Td [(ization)-275(and)-274(triangular)-275(system)-275(solution)-274(for)-275(double)-275(p)1(rec)-1(ision)-274(real)-275(and)-275(complex)-274(data.)]TJ 0 -13.549 Td [(W)83(e)-333(ha)28(v)28(e)-334(tested)-333(v)28(ersions)-334(4.4)-333(and)-333(5.1.)]TJ 0 g 0 G @@ -1140,7 +1140,7 @@ BT 0 g 0 G /F15 10.9091 Tf 54.826 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(9)]TJ + [(10)]TJ 0 g 0 G [(])-333(A)-334(sparse)-333(direct)-333(factorization)-334(p)1(ac)27(k)56(age)-334(a)28(v)56(ailable)-333(from)]TJ/F44 10.9091 Tf -27.553 -13.55 Td [(http://crd.lbl.gov/~xiaoye/SuperLU/)]TJ/F15 10.9091 Tf 200.452 0 Td [(;)-498(pro)27(vides)-443(serial)-443(factorization)-444(and)-443(tri-)]TJ -200.452 -13.549 Td [(angular)-389(system)-390(solution)-389(for)-389(single)-390(and)-389(double)-389(precision,)-403(real)-390(and)-389(complex)-389(data.)]TJ 0 -13.549 Td [(W)83(e)-333(ha)28(v)28(e)-334(tested)-333(v)28(ersions)-334(3.0)-333(and)-333(3.1.)]TJ 0 g 0 G @@ -1155,7 +1155,7 @@ BT 0 g 0 G /F15 10.9091 Tf 28.388 0 Td [([)]TJ 1 0 0 rg 1 0 0 RG - [(18)]TJ + [(19)]TJ 0 g 0 G [(])-304(A)-304(sparse)-304(d)1(irec)-1(t)-303(factorization)-304(pac)28(k)55(age)-304(a)28(v)56(ailable)-304(from)-304(the)-304(same)-304(site)]TJ -55.002 -13.549 Td [(as)-481(Sup)-28(erLU;)-481(pro)28(vides)-481(parallel)-481(factorization)-481(and)-481(triangular)-481(system)-482(solution)-481(for)]TJ 0 -13.549 Td [(double)-333(precision)-334(r)1(e)-1(al)-333(and)-333(complex)-333(data.)-445(W)84(e)-334(ha)28(v)28(e)-334(tested)-333(v)28(ersion)-334(2.1.)]TJ/F17 11.9552 Tf -27.273 -29.023 Td [(3.3)-1125(Con\014guration)-375(options)]TJ/F15 10.9091 Tf 0 -20.594 Td [(T)83(o)-302(build)-302(MLD2P4)-302(the)-302(\014rst)-303(step)-302(is)-302(to)-302(use)-303(the)]TJ/F44 10.9091 Tf 214.002 0 Td [(configure)]TJ/F15 10.9091 Tf 54.842 0 Td [(script)-302(in)-302(the)-303(main)-302(directory)-302(to)]TJ -268.844 -13.549 Td [(generate)-333(the)-334(necessary)-333(mak)28(e\014le\050s\051.)]TJ 16.937 -13.55 Td [(As)-333(a)-334(minimal)-333(example)-333(consider)-334(the)-333(follo)28(wing:)]TJ 0 g 0 G @@ -1194,7 +1194,7 @@ endobj 219 0 obj << /Type /Annot /Border[0 0 0]/H/I/C[0 1 0] -/Rect [150.46 568.397 157.907 577.42] +/Rect [150.46 568.397 163.361 577.42] /Subtype /Link /A << /S /GoTo /D (cite.SUPERLU) >> >> endobj @@ -1357,15 +1357,15 @@ BT 0 g 0 G [(,)]TJ 1 0 0 rg 1 0 0 RG - [-334(20)]TJ + [-334(21)]TJ 0 g 0 G [(].)]TJ/F18 10.9091 Tf 16.937 -14.011 Td [(A)51(dditive)-468(Schwarz)]TJ/F15 10.9091 Tf 89.058 0 Td [(preconditioners)-453(are)-453(DD)-454(precondition)1(e)-1(r)1(s)-454(using)-453(o)28(v)28(erlapping)-454(sub-)]TJ -105.995 -13.55 Td [(matrices,)-403(i.e.)-389(with)-389(some)-389(common)-389(ro)27(ws,)-403(to)-389(couple)-389(the)-389(lo)-28(cal)-389(information)-389(related)-389(to)-389(the)]TJ 0 -13.549 Td [(submatrices)-362(\050see,)-369(e.g.,)-369([)]TJ 1 0 0 rg 1 0 0 RG - [(20)]TJ + [(21)]TJ 0 g 0 G [(]\051.)-530(The)-362(main)-362(motiv)55(at)1(ion)-362(for)-362(c)28(ho)-28(osing)-362(Additiv)28(e)-362(Sc)28(h)28(w)27(arz)-362(pre-)]TJ 0 -13.549 Td 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[(sp)-28(onds)-325(to)-325(a)-325(restriction,)-327(a)-325(solution)-325(and)-325(a)-325(prolongation)-325(step;)-328(the)-325(solution)-325(step,)-327(in)28(v)27(olvi)1(ng)]TJ 0 -13.55 Td [(the)-333(matrix)]TJ/F22 10.9091 Tf 54.273 0 Td [(A)]TJ/F23 7.9701 Tf 8.182 -1.688 Td [(C)]TJ/F15 10.9091 Tf 7.097 1.688 Td [(,)-333(ma)27(y)-333(b)-28(e)-333(carried)-333(out)-334(also)-333(appro)28(ximately)83(.)]TJ -52.615 -13.549 Td [(The)-309(com)28(bination)-309(of)]TJ/F22 10.9091 Tf 96.176 0 Td [(M)]TJ/F23 7.9701 Tf 10.583 -1.689 Td [(C)]TJ/F15 10.9091 Tf 10.469 1.689 Td [(and)]TJ/F22 10.9091 Tf 20.948 0 Td [(M)]TJ/F20 7.9701 Tf 10.583 -1.689 Td [(1)]TJ/F23 7.9701 Tf 4.234 0 Td [(L)]TJ/F15 10.9091 Tf 9.629 1.689 Td [(ma)28(y)-309(b)-28(e)-309(p)-28(erformed)-309(in)-309(either)-309(an)-309(additiv)28(e)-309(or)-309(a)-309(m)27(ul-)]TJ -179.559 -13.549 Td [(tiplicativ)28(e)-275(framew)28(ork.)-425(In)-275(the)-275(former)-275(c)-1(ase,)-286(the)]TJ/F18 10.9091 Tf 217.192 0 Td 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ަJ]PdH%7o& $[ ј,J0[ziNm "YRmAMVitMX RkojIb1"TAoa5O#;sVD,2`W834(vIU 灶2[tg5fFRkg0njFhjIia҅['4懁DŽ4xyu[8I?UL769 +de +AaVN \*mK Sq쑍6Y 07֚l#r( έZM'ē8~vOzdK[oy (Bތ߾c)'#Wr E{$<@\٫?%m :?cѽS]qK'X.Kq\?g}DNKf˲OCGUŖ"6Gq.l5-)S@A{b\Ҫ$v/Jb-'p$N?I kjifp^BƈHdFe{@ 8;WM6 ho?("׍;s3B:iؼǵS,I'"CXc&Tq۲eQok}k!.Qܗ$o6w^B#GTNuW7i5cxxRFy;;U KͪNcevnwehOUcw. +h茕®1ՓP,s_|F-1s +lf^ oS$fHף#~b6}&Y+'q? gTʹNptpd8/-"0V(4 +!!Q,jK̔J) Vx`EaCrDp1TB:, J^&>)rʭ9U`.3Lq,xwHoFKӀLdR}A[*ژZφ~4qQi%6?'\l",/QyrnwCeݐ#3vo^z jO]/I8| jmk=lnBeǛpԠT * v]nFtCoLbm}I:wpv60=AZ =ln:=fN|^[{ޙaS ct NKJ.:/{{#pC}A9wbȈ^E^5wXwsT.qyPԋ]m0s8K'Fb1t]3\ /1fZWJV_96He{5t4 +`N,&#}H[ N}ФpW냇~kϠ&Abp + +4/{V(PHճQށǍŘo~u 7 ^p(U k~!f[3!p7 Ofs[}c,N.+BGŮm G@bImmň7@ +!Bw_ejqZo^⊺v`t9|7д*"uRr^DdaB\ߴ-ЃmrI1&t%]SS ]Wp|Mܮώ oYo'hbpӁb}[CvT~yE+ϒw61%j|T3W]AƐaPbaﶱ!ӧVJ{Cʵ-N-cCE%rh$qbTFEOVb9>zM /]3}VZ5E9.h)Iv"3K\3r@4os5UeCd"SN}0`X')vwVlVɹNTX[5F?]<Cy5 S}@2_QOvG Rni&]}wEvdoVeWXE bIy@]#6v$]T&M˵ݲIK)@~ObԸ UYF F5 +XҎ5c$rJÖГB P-Q{jShhZtV@wͅ]m&MZLƑ2'jtÕy,½yls!X)R$[wW.{^EcZDr42ӣ޳<6{ +Ni~q:ڷ]U[r>$ }1%ͣ1ݏDY<פT[Kl~m$~)mv:<6IXFߠ?*psPW,s&t"K .V0Ϩ"ʾQUPkMFD5x52~1xb +n{R eg6e<c>aW"*dpY _Ҫ:¥w[Y~駬#VP$K} +aaMQk~4(LؓKxk_`|VpM=;nx1c+UC+McrX1ƞ1矧ЋħEec5*DFqԭ#s! j8m~5i/J_z9MJxA06iʕh |ZL7aLӪ"s2K$#p*ӶNWN/v{a0E1̫ͨ[:sj#۱&Qr 7RZw]%mhz|oXfGv3kO]X;{X<0%G[tTrXX}G/K ʞV?XfzhhjMS\M LaNnUv5%cP5CtT!џqFfb^.X~֛Fsԟt啍& +P+IPe׸Y&$rfCa ' + ,[#Z.+B0\XnP|(dqqK^~VF}+KPGÂ@\/53NqN~ {!Xk$#/I1تu&"Es+<TobA]vnE)rNv_a5lړ 7>} *`mm\xQfnEk mc7a`FuG~ud~=9็$کn.RB.b؞g> ]o|#Dm\2|%4AV G-P%¿!CbY,O_~{>]ԥOỦr`8*[WT,g&c +BQFAy`%/Mз*~+W.ir߹ema0-&Ab$ҷp(;y`'}ƏQCD N`!pJ}:ƺ2V_@Aʯ{cr/ jN+ѤqFEһ{e|q¾-éB\}$5bbV/2Q8bzgï zӧ͕}PMbT(V+TWX !%NG}s;+] endstream endobj -504 0 obj << +506 0 obj << /Type /FontDescriptor -/FontName /APBVBO+CMBX10 +/FontName /SNDFJH+CMBX10 /Flags 4 /FontBBox [-301 -250 1164 946] /Ascent 694 @@ -5347,10 +5359,10 @@ endobj /ItalicAngle 0 /StemV 114 /XHeight 444 -/CharSet (/A/B/C/D/E/F/G/H/I/K/L/M/N/O/P/R/S/U/a/b/c/colon/d/e/f/fi/five/four/g/hyphen/i/k/l/m/n/nine/o/one/p/period/question/r/s/seven/six/t/three/two/u/v/w/zero) 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distribution.tex \ building.tex background.tex gettingstarted.tex userinterface.tex \ errors.tex bibliography.tex license.tex FIGDIR = figures diff --git a/docs/src/bibliography.tex b/docs/src/bibliography.tex index 1c48cd4b..b73b208d 100644 --- a/docs/src/bibliography.tex +++ b/docs/src/bibliography.tex @@ -28,7 +28,8 @@ Proceedings of PARA~04 Workshop on State of the Art in Scientific Computing, Lecture Notes in Computer Science, Springer, 2005, 593--602. % -\bibitem{aaecc_07} A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone, +\bibitem{aaecc_07} +A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone, {\em 2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications}, Applicable Algebra in Engineering, Communications and Computing, @@ -70,12 +71,11 @@ T.~Chan and T.~Mathew, in A.~Iserles, editor, Acta Numerica 1994, 61--143. Cambridge University Press. % -%% \bibitem{MLD2P4_TOMS} -%% P.~D'Ambra, D.~di~Serafino, S.~Filippone, -%% \emph{MLD2P4: a Package of Parallel Multilevel -%% Algebraic Domain Decomposition Preconditioners -%% in Fortran 95}, -%% COMPLETARE. +\bibitem{MLD2P4_TOMS} +P.~D'Ambra, D.~di~Serafino, S.~Filippone, +\emph{MLD2P4: a Package of Parallel Multilevel +Algebraic Domain Decomposition Preconditioners +in Fortran 95}, ICAR-CNR Technical Report RT-ICAR-NA-09-01, 2009. % \bibitem{UMFPACK} T.A.~Davis, diff --git a/docs/src/title.tex b/docs/src/title.tex deleted file mode 100644 index 831759b8..00000000 --- a/docs/src/title.tex +++ /dev/null @@ -1,72 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Contents: The title page -% $Id: title.tex 1999 2007-10-29 15:25:27Z sfilippo $ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\ifcase\pdfoutput % We're not running pdftex -{\Large\bfseries MLD2P4\\[.8ex] User's and Reference Guide}\\ -\emph{\large A guide for the Multi-Level Domain Decomposition \\[.6ex] -Parallel Preconditioners Package -based on PSBLAS} -{\bfseries Pasqua D'Ambra}\\ - ICAR-CNR, Naples, Italy\\[3ex] -{\bfseries Daniela di Serafino}\\ - Second University of Naples, Italy\\[3ex] -{\bfseries Salvatore Filippone} \\ - University of Rome ``Tor Vergata'', Italy -%\\[10ex] -%\today -Software version: 1.0\\ -%\today -July 24, 2008 -\or -\pdfbookmark{MLD2P4 User's and Reference Guide}{title} -\newlength{\centeroffset} -%\setlength{\centeroffset}{-0.5\oddsidemargin} -%\addtolength{\centeroffset}{0.5\evensidemargin} -%\addtolength{\textwidth}{-\centeroffset} -\thispagestyle{empty} -\vspace*{\stretch{1}} -\noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth} -\flushright -{\Huge\bfseries MLD2P4\\[.8ex] User's and Reference Guide -} -\noindent\rule[-1ex]{\textwidth}{5pt}\\[2.5ex] -\hfill\emph{\Large A guide for the Multi-Level Domain Decomposition \\[.6ex] -Parallel Preconditioners Package -based on PSBLAS} -\end{minipage}} - -\vspace{\stretch{1}} -\noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth} -\flushright -{\large\bfseries Pasqua D'Ambra}\\ -\large ICAR-CNR, Naples, Italy\\[3ex] -{\large\bfseries Daniela di Serafino}\\ -\large Second University of Naples, Italy\\[3ex] -{\large\bfseries Salvatore Filippone} \\ -\large University of Rome ``Tor Vergata'', Italy -%\\[10ex] -%\today -\end{minipage}} - -\vspace{\stretch{1}} -\noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth} -\flushright -\large Software version: 1.0\\ -%\today -\large July 24, 2008 -\end{minipage}} -%\addtolength{\textwidth}{\centeroffset} -\vspace{\stretch{2}} -\fi - -\endinput - -% - -% Local Variables: -% TeX-master: "userguide" -% mode: latex -% mode: flyspell -% End: