<?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 >script type="text/javascript" "https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (edim) - 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_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of 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Foundation; either version 2 of the License, or (at your option ) any later version.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1_mj.html#X7AA826067CC8C395" >1 <span class="Heading" >The <strong class="pkg" >EDIM</strong >-Package</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X84D3F5E77E3BF046" >1.1 <span class="Heading" >Installation of the <strong class="pkg" >EDIM</strong > package</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7AF83FEC7CD0311C" >1.1-1 InfoEDIM</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X818BE04687230849" >1.2 <span class="Heading" ><span class="SimpleMath" >\(p\)</span >-Parts of Elementary Divisors</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X813B0D73868CD751" >1.2-1 ElementaryDivisorsPPartRk</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X82EC4724865F4DF9" >1.2-2 ElementaryDivisorsPPartHavasSterling</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X80FF39C07E03D7EF" >1.3 <span class="Heading" >Inverse of Rational Matrices</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7A9656D47C4D2D16" >1.3-1 InverseRatMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X8302B31E86B3AFDB" >1.3-2 RationalSolutionIntMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X86DA61D978D2D889" >1.3-3 ExponentSquareIntMatFullRank</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X7A6548FA7C837D27" >1.4 <span class="Heading" >All Elementary Divisors Using p-adic Method</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7B6A3B8486872B0C" >1.4-1 ElementaryDivisorsSquareIntMatFullRank</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X821E30477A5DCE68" >1.4-2 ElementaryDivisorsIntMatDeterminant</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X788047737FA04422" >1.5 <span class="Heading" >Gcd and Normal Forms Using LLL</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X799B1A5285D00859" >1.5-1 GcdexIntLLL</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7C6AE6777B72F9D2" >1.5-2 HermiteIntMatLLL</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X862962B7878A284F" >1.5-3 HermiteIntMatLLLTrans</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X8626F15179C09798" >1.5-4 SmithIntMatLLL</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X86094B1B7C87EBF6" >1.5-5 SmithIntMatLLLTrans</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X832582857EB36B23" >1.6 <span class="Heading" >Utility Functions from the <strong class="pkg" >EDIM</strong >-package</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7EC844F97C469C03" >1.6-1 RatNumberFromModular</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X78518E1D81435762" >1.6-2 InverseIntMatMod</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7CDF3D2081207080" >1.6-3 HadamardBoundIntMat</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X7BAB977C7EB05067" >1.6-4 CheapFactorsInt</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X8312EDA78209B4EA" >1.6-5 RankMod</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X83FD1AAB7EB2E934" >1.7 <span class="Heading" >InverseRatMat - the Algorithm</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X791ED7D97F87FDFD" >1.7-1 <span class="Heading" >Rank of Integer Matrix</span ></a>span >div ></div >div >div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a 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