\contentsline {chapter}{\numberline {1}\textcolor {Chapter }{The \textsf {EDIM}-Package}}{4}{chapter.1}%
\contentsline {section}{\numberline {1.1}\textcolor {Chapter }{Installation of the \textsf {EDIM} package}}{4}{section.1.1}%
\contentsline {subsection}{\numberline {1.1.1}\textcolor {Chapter }{InfoEDIM}}{5}{subsection.1.1.1}%
\contentsline {section}{\numberline {1.2}\textcolor {Chapter }{$p$-Parts of Elementary Divisors}}{5}{section.1.2}%
\contentsline {subsection}{\numberline {1.2.1}\textcolor {Chapter }{ElementaryDivisorsPPartRk}}{5}{subsection.1.2.1}%
\contentsline {subsection}{\numberline {1.2.2}\textcolor {Chapter }{ElementaryDivisorsPPartHavasSterling}}{6}{subsection.1.2.2}%
\contentsline {section}{\numberline {1.3}\textcolor {Chapter }{Inverse of Rational Matrices}}{6}{section.1.3}%
\contentsline {subsection}{\numberline {1.3.1}\textcolor {Chapter }{InverseRatMat}}{6}{subsection.1.3.1}%
\contentsline {subsection}{\numberline {1.3.2}\textcolor {Chapter }{RationalSolutionIntMat}}{6}{subsection.1.3.2}%
\contentsline {subsection}{\numberline {1.3.3}\textcolor {Chapter }{ExponentSquareIntMatFullRank}}{7}{subsection.1.3.3}%
\contentsline {section}{\numberline {1.4}\textcolor {Chapter }{All Elementary Divisors Using p-adic Method}}{7}{section.1.4}%
\contentsline {subsection}{\numberline {1.4.1}\textcolor {Chapter }{ElementaryDivisorsSquareIntMatFullRank}}{7}{subsection.1.4.1}%
\contentsline {subsection}{\numberline {1.4.2}\textcolor {Chapter }{ElementaryDivisorsIntMatDeterminant}}{8}{subsection.1.4.2}%
\contentsline {section}{\numberline {1.5}\textcolor {Chapter }{Gcd and Normal Forms Using LLL}}{8}{section.1.5}%
\contentsline {subsection}{\numberline {1.5.1}\textcolor {Chapter }{GcdexIntLLL}}{9}{subsection.1.5.1}%
\contentsline {subsection}{\numberline {1.5.2}\textcolor {Chapter }{HermiteIntMatLLL}}{9}{subsection.1.5.2}%
\contentsline {subsection}{\numberline {1.5.3}\textcolor {Chapter }{HermiteIntMatLLLTrans}}{9}{subsection.1.5.3}%
\contentsline {subsection}{\numberline {1.5.4}\textcolor {Chapter }{SmithIntMatLLL}}{9}{subsection.1.5.4}%
\contentsline {subsection}{\numberline {1.5.5}\textcolor {Chapter }{SmithIntMatLLLTrans}}{9}{subsection.1.5.5}%
\contentsline {section}{\numberline {1.6}\textcolor {Chapter }{Utility Functions from the \textsf {EDIM}-package}}{10}{section.1.6}%
\contentsline {subsection}{\numberline {1.6.1}\textcolor {Chapter }{RatNumberFromModular}}{10}{subsection.1.6.1}%
\contentsline {subsection}{\numberline {1.6.2}\textcolor {Chapter }{InverseIntMatMod}}{10}{subsection.1.6.2}%
\contentsline {subsection}{\numberline {1.6.3}\textcolor {Chapter }{HadamardBoundIntMat}}{10}{subsection.1.6.3}%
\contentsline {subsection}{\numberline {1.6.4}\textcolor {Chapter }{CheapFactorsInt}}{10}{subsection.1.6.4}%
\contentsline {subsection}{\numberline {1.6.5}\textcolor {Chapter }{RankMod}}{11}{subsection.1.6.5}%
\contentsline {section}{\numberline {1.7}\textcolor {Chapter }{InverseRatMat - the Algorithm}}{11}{section.1.7}%
\contentsline {subsection}{\numberline {1.7.1}\textcolor {Chapter }{Rank of Integer Matrix}}{12}{subsection.1.7.1}%
\contentsline {chapter}{References}{13}{chapter*.3}%
\contentsline {chapter}{Index}{14}{section*.4}%
