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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE>1.1 Introduction</TITLE><LINK REL=STYLESHEET TYPE="text/css" HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="1.1 Introduction"><meta name="keywords" value="Guide5"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html378 HREF="node5.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html384 HREF="node5.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html386 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html388 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A HREF="../Guide5-18/node6.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide5-14/node6.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide5-10/node6.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html387 HREF="node7.html">1.2 Solution by a direct method</A><B>Up: </B> <A NAME=tex2html385 HREF="node5.html">1 Solution of linear systems</A><B> Prev: </B> <A NAME=tex2html379 HREF="node5.html">1 Solution of linear systems</A><B><A HREF="node2.html" >Contents</A></B><HR SIZE=3 WIDTH="75%"><H1><A NAME=SECTION03110000000000000000>1.1 Introduction</A></H1><P>The MODULEF library contains numerous solution modules for linear systems<A NAME=389> </A> which respond to different needs encountered in the solution of partial differential equationsby the finite element method. They correspond to, either direct methods<A NAME=390> </A>, that give the solution of a linear system in a finite number of operations which can becalculated in advance, or iterative methods<A NAME=391> </A>, for which the computational cost is proportional to the number of iterations, <em> a priori</em> unknown, and depends on several parameterswhose influence is often difficult to measure: conditioning of the system, precision of convergence test, <b>...</b><P>These two families of methods also offer several possibilities for storing the matrix of the linear system to be solved, in orderto best use the memory space available in the computer. In particular, we need to note that if machines offers bigger and bigger memory capacity, the users' needs tend to saturate them rapidly. The course pursued, <b> computational time/memory space</b>, is therefore far from being completed, and algorithms using secondary memory are still current.<P>This guide is essentially dedicated to the description of solution programs for linear systems in the MODULEF library, and includes operating instructions for these modules.However, the reader who is interested in a theoretical presentation of the algorithms, ormodifications to be done in order to use these models on vectorial and/or parallel computers, should consult[<A HREF="node44.html#magnifiquedocument">1</A>].<P><P><P><HR SIZE=3 WIDTH="75%"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html378 HREF="node5.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html384 HREF="node5.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html386 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html388 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A HREF="../Guide5-18/node6.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide5-14/node6.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide5-10/node6.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html387 HREF="node7.html">1.2 Solution by a direct method</A><B>Up: </B> <A NAME=tex2html385 HREF="node5.html">1 Solution of linear systems</A><B> Prev: </B> <A NAME=tex2html379 HREF="node5.html">1 Solution of linear systems</A><B><A HREF="node2.html" >Contents</A></B><BR> <HR><P><ADDRESS></ADDRESS></BODY></HTML>⌨️ 快捷键说明
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