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psblas3/docs/pdf/userguide.tex

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TeX

\documentclass[10pt,a4paper,twoside]{article}
\usepackage{pstricks}
\usepackage{fancybox}
\usepackage{amsfonts}
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% \usepackage{minitoc}
% \setcounter{minitocdepth}{2}
\usepackage[bookmarks=true,
bookmarksnumbered=true,
bookmarksopen=false,
plainpages=false,
pdfpagelabels,
colorlinks,
linkcolor=blue]{hyperref}
\usepackage{ifthen}
\usepackage{graphicx}
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}{Corollary}
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%\newboolean{mtc}
%\setboolean{mtc}{true}
\pdfoutput=1
\relax
\pdfcompresslevel=0 %-- 0 = none, 9 = best
\pdfinfo{ %-- Info dictionary of PDF output /Author (Alfredo Buttari)
/Title (Parallel Sparse BLAS V. 2.0.1)
/Subject (Parallel Sparse Basic Linear Algebra Subroutines)
/Keywords (Computer Science Linear Algebra Fluid Dynamics Parallel Linux MPI PSBLAS Iterative Solvers Preconditioners)
/Creator (pdfLaTeX)
/Producer ($Id$)
}
\pdfcatalog{ %-- Catalog dictionary of PDF output.
/URI (http://ce.uniroma2.it/psblas)
}
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\newcounter{subroutine}[subsection]
\newcounter{example}[subroutine]
\newcommand{\subroutine}[2]{\clearpage%
\stepcounter{subroutine}%
\section*{\flushleft #1---#2 \endflushleft}%
\addcontentsline{toc}{subsection}{#1}%
\markright{#1}}%
\newcommand{\examplename}{Example}
\newcommand{\syntaxname}{Syntax}
\makeatletter
\def\syntax{\@ifstar{\@ssyntax}{\@syntax}}%
\def\@syntax{\section*{\syntaxname}%
\@ssyntax}%
\def\@ssyntax#1#2{%
\setbox\@tempboxa\hbox{#1\ {\em $($#2$)$}}%
\ifdim \wd\@tempboxa >\hsize
\setbox\@tempboxa\hbox{\em $($#2$)$}
\ifdim\wd\@tempboxa >\hsize
\begin{flushright}#1\ \em$($#2$)$\end{flushright}%
\else
\hbox to\hsize{#1\hfil}%
\hbox to\hsize{\hfil\box\@tempboxa}%
\fi
\else
\hbox to\hsize{\hfil\box\@tempboxa\hfil}%
\fi\par\vskip\baselineskip}
\makeatother
\newcommand{\example}{\stepcounter{example}%
\section*{\examplename~\theexample}}
\newcommand{\precdata}{\hyperlink{precdata}{{\tt psb\_prec\_type}}}
\newcommand{\descdata}{\hyperlink{descdata}{{\tt psb\_desc\_type}}}
\newcommand{\spdata}{\hyperlink{spdata}{{\tt psb\_spmat\_type}}}
\begin{document}
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\include{title}
\begingroup
\renewcommand*{\thepage}{toc}
\pagenumbering{roman} % Roman numbering
\setcounter{page}{1} % Abstract start on page ii
\tableofcontents
\endgroup
\newpage
\pagenumbering{arabic} % Arabic numbering
\setcounter{page}{1} % Chapters start on page 1
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\include{intro}
\include{datastruct}
\include{psbrout}
\include{commrout}
\include{toolsrout}
\include{methods}
\include{precs}
\include{error}
\clearpage
\begin{thebibliography}{99}
%
\bibitem{BLAS1}
Lawson, C., Hanson, R., Kincaid, D. and Krogh, F.,
Basic {L}inear {A}lgebra {S}ubprograms for {F}ortran usage,
{ACM Trans. Math. Softw.} vol.~{5}, 38--329, 1979.
\bibitem{BLAS2}
Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R.,
An Extended Set of {F}ortran {B}asic {L}inear {A}lgebra {S}ubprograms,
{ACM Trans. Math. Softw.} vol.~{14}, 1--17, 1988.
\bibitem{BLAS3}
Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I.,
A Set of level 3 Basic Linear Algebra Subprograms,
{ACM Trans. Math. Softw.} vol.~{16}, 1--17, 1990.
\bibitem{DOUGLAS}
R.E.~Bank and C.C.~Douglas,
{\em SMMP: Sparse Matrix Multiplication Package},
Advances in Computational Mathematics, 1993, 1, 127-137.
(See also {\tt http://www.mgnet.org/~douglas/ccd-codes.html})
%
\bibitem{PARA04FOREST}
G.~Bella, S.~Filippone, A.~De Maio and M.~Testa,
{\em A Simulation Model for Forest Fires},
in J.~Dongarra, K.~Madsen, J.~Wasniewski, editors,
Proceedings of PARA~04 Workshop on State of the Art
in Scientific Computing, pp.~546--553, Lecture Notes in Computer Science,
Springer, 2005.
%
\bibitem{PARA04}
A.~Buttari, P.~D'Ambra, D.~di Serafino and S.~Filippone,
{\em 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, pp.~593--602, Lecture Notes in Computer Science,
Springer, 2005.
%
\bibitem{CAI_SAAD}
X.~C.~Cai and Y.~Saad,
{\em Overlapping Domain Decomposition Algorithms for General Sparse Matrices},
Numerical Linear Algebra with Applications, 3(3), pp.~221--237, 1996.
%
\bibitem{CAI_SARKIS}
X.C.~Cai and M.~Sarkis,
{\em A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems},
SIAM Journal on Scientific Computing, 21(2), pp.~792--797, 1999.
%
\bibitem{CAI_WIDLUND}
X.C.~Cai and O.~B.~Widlund,
{\em Domain Decomposition Algorithms for Indefinite Elliptic Problems},
SIAM Journal on Scientific and Statistical Computing, 13(1), pp.~243--258, 1992.
%
\bibitem{DD1}
T.~Chan and T.~Mathew,
{\em Domain Decomposition Algorithms},
in A.~Iserles, editor, Acta Numerica 1994, pp.~61--143, 1994.
Cambridge University Press.
%
\bibitem{APNUM06}
P.~D'Ambra, D.~di Serafino and S.~Filippone,
On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners,
Applied Numerical Mathematics, to appear, 2006.
%
\bibitem{UMFPACK}
T.A.~Davis,
{\em Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal
Method with a Column Pre-ordering Strategy},
ACM Transactions on Mathematical Software, 30, pp.~196--199, 2004.
(See also {\tt http://www.cise.ufl.edu/~davis/})
%
\bibitem{SUPERLU}
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), pp.~720--755, 1999.
%
\bibitem{BLACS}
J.~J.~Dongarra and R.~C.~Whaley,
{\em 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).
%
\bibitem{sblas97}
I.~Duff, M.~Marrone, G.~Radicati and C.~Vittoli,
{\em Level 3 Basic Linear Algebra Subprograms for Sparse Matrices:
a User Level Interface},
ACM Transactions on Mathematical Software, 23(3), pp.~379--401, 1997.
%
\bibitem{sblas02}
I.~Duff, M.~Heroux and R.~Pozo,
{\em An Overview of the Sparse Basic Linear
Algebra Subprograms: the New Standard from the BLAS Technical Forum},
ACM Transactions on Mathematical Software, 28(2), pp.~239--267, 2002.
\bibitem{PSBLAS}
S.~Filippone and M.~Colajanni,
{\em PSBLAS: A Library for Parallel Linear Algebra
Computation on Sparse Matrices},
\newblock
ACM Transactions on Mathematical Software, 26(4), pp.~527--550, 2000.
%
\bibitem{KIVA3PSBLAS}
S.~Filippone, P.~D'Ambra, M.~Colajanni,
{\em Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics
Applications Code on Linux Clusters},
in G.~Joubert, A.~Murli, F.~Peters, M.~Vanneschi, editors,
Parallel Computing - Advances \& Current Issues,
pp.~441--448, Imperial College Press, 2002.
%
\bibitem{METIS}
Karypis, G. and Kumar, V.,
{\em {METIS}: Unstructured Graph Partitioning and Sparse Matrix
Ordering System}.
Minneapolis, MN 55455: University of Minnesota, Department of
Computer Science, 1995.
Internet Address: {\verb|http://www.cs.umn.edu/~karypis|}.
\bibitem{machiels}
{Machiels, L. and Deville, M.}
{\em Fortran 90: An entry to object-oriented programming for the solution
of partial differential equations.}
{ACM Trans. Math. Softw.} vol.~{23}, 32--49.
\bibitem{metcalf}
{Metcalf, M., Reid, J. and Cohen, M.}
{\em Fortran 95/2003 explained.}
{Oxford University Press}, 2004.
%
\bibitem{DD2}
B.~Smith, P.~Bjorstad and W.~Gropp,
{\em Domain Decomposition: Parallel Multilevel Methods for Elliptic
Partial Differential Equations},
Cambridge University Press, 1996.
%
\bibitem{MPI1}
M.~Snir, S.~Otto, S.~Huss-Lederman, D.~Walker and J.~Dongarra,
{\em MPI: The Complete Reference. Volume 1 - The MPI Core}, second edition,
MIT Press, 1998.
%
\end{thebibliography}
\end{document}
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