\contentsline {chapter}{\numberline {1}\leavevmode {\color {Chapter }Introduction}}{5}{chapter.1}
\contentsline {section}{\numberline {1.1}\leavevmode {\color {Chapter }Overview over this manual}}{5}{section.1.1}
\contentsline {section}{\numberline {1.2}\leavevmode {\color {Chapter }Installation of the \textsf {GaussForHomalg} Package}}{5}{section.1.2}
\contentsline {chapter}{\numberline {2}\leavevmode {\color {Chapter }Usage}}{6}{chapter.2}
\contentsline {chapter}{\numberline {3}\leavevmode {\color {Chapter }\textsf {GaussForHomalg} methods and functions}}{8}{chapter.3}
\contentsline {section}{\numberline {3.1}\leavevmode {\color {Chapter }The Tools}}{8}{section.3.1}
\contentsline {subsection}{\numberline {3.1.1}\leavevmode {\color {Chapter }ZeroMatrix}}{8}{subsection.3.1.1}
\contentsline {subsection}{\numberline {3.1.2}\leavevmode {\color {Chapter }IdentityMatrix}}{8}{subsection.3.1.2}
\contentsline {subsection}{\numberline {3.1.3}\leavevmode {\color {Chapter }CopyMatrix}}{8}{subsection.3.1.3}
\contentsline {subsection}{\numberline {3.1.4}\leavevmode {\color {Chapter }ImportMatrix}}{8}{subsection.3.1.4}
\contentsline {subsection}{\numberline {3.1.5}\leavevmode {\color {Chapter }Involution}}{9}{subsection.3.1.5}
\contentsline {subsection}{\numberline {3.1.6}\leavevmode {\color {Chapter }CertainRows}}{9}{subsection.3.1.6}
\contentsline {subsection}{\numberline {3.1.7}\leavevmode {\color {Chapter }CertainColumns}}{9}{subsection.3.1.7}
\contentsline {subsection}{\numberline {3.1.8}\leavevmode {\color {Chapter }UnionOfRows}}{9}{subsection.3.1.8}
\contentsline {subsection}{\numberline {3.1.9}\leavevmode {\color {Chapter }UnionOfColumns}}{9}{subsection.3.1.9}
\contentsline {subsection}{\numberline {3.1.10}\leavevmode {\color {Chapter }DiagMat}}{9}{subsection.3.1.10}
\contentsline {subsection}{\numberline {3.1.11}\leavevmode {\color {Chapter }KroneckerMat}}{9}{subsection.3.1.11}
\contentsline {subsection}{\numberline {3.1.12}\leavevmode {\color {Chapter }Compose}}{10}{subsection.3.1.12}
\contentsline {subsection}{\numberline {3.1.13}\leavevmode {\color {Chapter }NrRows}}{10}{subsection.3.1.13}
\contentsline {subsection}{\numberline {3.1.14}\leavevmode {\color {Chapter }NrColumns}}{10}{subsection.3.1.14}
\contentsline {subsection}{\numberline {3.1.15}\leavevmode {\color {Chapter }IsZeroMatrix}}{10}{subsection.3.1.15}
\contentsline {subsection}{\numberline {3.1.16}\leavevmode {\color {Chapter }IsDiagonalMatrix}}{10}{subsection.3.1.16}
\contentsline {subsection}{\numberline {3.1.17}\leavevmode {\color {Chapter }ZeroRows}}{10}{subsection.3.1.17}
\contentsline {subsection}{\numberline {3.1.18}\leavevmode {\color {Chapter }ZeroColumns}}{10}{subsection.3.1.18}
\contentsline {section}{\numberline {3.2}\leavevmode {\color {Chapter }The Basic Functions and \textsf {homalg} table creation}}{11}{section.3.2}
\contentsline {subsection}{\numberline {3.2.1}\leavevmode {\color {Chapter }DecideZeroRows}}{11}{subsection.3.2.1}
\contentsline {subsection}{\numberline {3.2.2}\leavevmode {\color {Chapter }DecideZeroRowsEffectively}}{11}{subsection.3.2.2}
\contentsline {subsection}{\numberline {3.2.3}\leavevmode {\color {Chapter }SyzygiesGeneratorsOfRows}}{11}{subsection.3.2.3}
\contentsline {subsection}{\numberline {3.2.4}\leavevmode {\color {Chapter }RelativeSyzygiesGeneratorsOfRows}}{11}{subsection.3.2.4}
\contentsline {subsection}{\numberline {3.2.5}\leavevmode {\color {Chapter }RowReducedEchelonForm}}{11}{subsection.3.2.5}
\contentsline {subsection}{\numberline {3.2.6}\leavevmode {\color {Chapter }CreateHomalgTable}}{11}{subsection.3.2.6}
\contentsline {section}{\numberline {3.3}\leavevmode {\color {Chapter }Matrix entry manipulation}}{12}{section.3.3}
\contentsline {subsection}{\numberline {3.3.1}\leavevmode {\color {Chapter }GetEntryOfHomalgMatrix}}{12}{subsection.3.3.1}
\contentsline {subsection}{\numberline {3.3.2}\leavevmode {\color {Chapter }SetEntryOfHomalgMatrix}}{12}{subsection.3.3.2}
\contentsline {subsection}{\numberline {3.3.3}\leavevmode {\color {Chapter }AddToEntryOfHomalgMatrix}}{12}{subsection.3.3.3}
\contentsline {chapter}{\numberline {4}\leavevmode {\color {Chapter }Example}}{13}{chapter.4}
\contentsline {section}{\numberline {4.1}\leavevmode {\color {Chapter }HomHom}}{13}{section.4.1}
\contentsline {chapter}{\numberline {A}\leavevmode {\color {Chapter }An Overview of the \textsf {GaussForHomalg} package source code}}{18}{appendix.A}
