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<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >title >GAP (Gauss) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chapA.html" >A</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0_mj.html" >[MathJax on]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >Gauss</h1 >strong class="pkg" >GAP</strong ></h2>div >br />Email: <span class="URL" ><a href="mailto:simon.goertzen@rwth-aachen.de" >simon.goertzen@rwth-aachen.de</a></span >br />Homepage: <span class="URL" ><a href="https://www.linkedin.com/in/simongoertzen/ " >https://www.linkedin.com/in/simongoertzen/</a></span >br />Address : <br />Simon Görtzen<br /> Lehrstuhl B fuer Mathematik, RWTH Aachen<br /> Templergraben 64<br /> 52062 Aachen<br /> Germany<br />"X7AA6C5737B711C89" name="X7AA6C5737B711C89" ></a></p>strong class="pkg" >Gauss</strong > package. Included is a documented list of the most important methods and functions needed to work with sparse matrices and the algorithms provided by the <strong class="pkg" >Gauss</strong > package.</p>"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>on 2 or (at your option ) any later version.</p>"X82A988D47DFAFCFA" name="X82A988D47DFAFCFA" ></a></p>strong class="pkg" >Gauss</strong > package would not have been possible without the helpful contributions by</p>ul >li ><p>Max Neunhöffer, University of St Andrews, and</p>li >li ><p>Mohamed Barakat, Lehrstuhl B für Mathematik, RWTH Aachen.</p>li >ul >e <strong class="pkg" >GAP</strong > algorithms for <code class="code" >SemiEchelonForm</code > and other methods formed an important and informative basis for the development of the extended Gaussian algorithms. This manual was created with the help of the <strong class="pkg" >GAPDoc</strong > package by F. Lübeck and M. Neunhöffer <a href="chapBib.html#biBGAPDoc" >[LN08]</a>.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X786BACDB82918A65" >1.1 <span class="Heading" >Overview over this manual</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X78AD64B87DEF5CE9" >1.2 <span class="Heading" >Installation of the <strong class="pkg" >Gauss</strong > Package</span ></a>span >div >div >div class="ContChap" ><a href="chap2.html#X823150E97BE77525" >2 <span class="Heading" >Extending Gauss Functionality</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X84F709227E5EEB55" >2.1 <span class="Heading" >The need for extended functionality</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7F21EDDF81C27747" >2.2 <span class="Heading" >The applications of the <strong class="pkg" >Gauss</strong span ></a>span >div >div >div class="ContChap" ><a href="chap3.html#X7901751583E1B976" >3 <span class="Heading" >The Sparse Matrix Data Type</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X81E717927E4029AB" >3.1 <span class="Heading" >The inner workings of <strong class="pkg" >Gauss</strong >span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X812222AB7F56717A" >3.1-1 <span class="Heading" >A special case: GF(2)</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X78FB3DC27FF8769E" >3.2 <span class="Heading" >Methods and functions for sparse matrices</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X829481DA85587996" >3.2-1 SparseMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X801B77A67B8A16DA" >3.2-2 ConvertSparseMatrixToMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X86C79A76865D4AF0" >3.2-3 CopyMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7C46B38A8507EB61" >3.2-4 GetEntry</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X83C9A07784AA4626" >3.2-5 SetEntry</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8729D1F87E176150" >3.2-6 AddToEntry</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7D59FA867A432607" >3.2-7 SparseZeroMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X844E79E07E11A32E" >3.2-8 SparseIdentityMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7D91261880BF76EC" >3.2-9 TransposedSparseMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7BAE852578C6B839" >3.2-10 CertainRows</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7CE203DF7F323F87" >3.2-11 CertainColumns</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X79745BAA86418F66" >3.2-12 SparseUnionOfRows</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X86E358307E433F4F" >3.2-13 SparseUnionOfColumns</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7A0CEF5F79A86190" >3.2-14 SparseDiagMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8719F2477C0401FE" >3.2-15 Nrows</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8300CDF181481EC6" >3.2-16 Ncols</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X82615CEC7AD43F41" >3.2-17 IndicesOfSparseMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7E3040828757BD37" >3.2-18 EntriesOfSparseMatrix</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X85766EE5848E7402" >3.2-19 RingOfDefinition</a></span >div ></div >div >div class="ContChap" ><a href="chap4.html#X86443AB17C0AD00C" >4 <span class="Heading" >Gaussian Algorithms</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X863F68B2858CC146" >4.1 <span class="Heading" >A list of the available algorithms</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X79093EFA828EF7D1" >4.2 <span class="Heading" >Methods and Functions for <strong class="pkg" >Gauss</strong >ian algorithms</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8499C9FD7AD9908F" >4.2-1 EchelonMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X869107627EBA2177" >4.2-2 EchelonMatTransformation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X811A3B547A27A895" >4.2-3 ReduceMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X816CA6D37F0DB74F" >4.2-4 ReduceMatTransformation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X78E97A0E7F1ED8AA" >4.2-5 KernelMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X827146F37E2AA841" >4.2-6 Rank</a></span >div ></div >div >div class="ContChap" ><a href="chapA.html#X78EED4F77E698478" >A <span class="Heading" >An Overview of the <strong class="pkg" >Gauss</strong > package source code </span ></a>div >div class="ContChap" ><a href="chapBib.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chapA.html" >A</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 100%
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