| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/matricesforhomalg/doc/ (Algebra von RWTH Aachen Version 4.15.1©) Datei vom 7.8.2025 mit Größe 3 kB |
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Quelle ResidueClassRingForHomalg.xml Sprache: XML |
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<?xml version="1.0" encoding="UTF-8"?>
<!-- ResidueClassRingForHomalg.xml MatricesForHomalg package documentation Mohamed Barakat Copyright (C) 2007-2009, Mohamed Barakat, Universität des Saarlandes --> <Appendix Label="ResidueClassRingForHomalg"> <Heading>The subpackage &ResidueClassRingForHomalg; as a sample ring package</Heading> <Section Label="ResidueClassRingForHomalg:BasicNoFallBack"> <Heading>The Mandatory Basic Operations</Heading> <#Include Label="BasisOfRowModule:ResidueClassRing"> <#Include Label="BasisOfColumnModule:ResidueClassRing"> <#Include Label="DecideZeroRows:ResidueClassRing"> <#Include Label="DecideZeroColumns:ResidueClassRing"> <#Include Label="SyzygiesGeneratorsOfRows:ResidueClassRing"> <#Include Label="SyzygiesGeneratorsOfColumns:ResidueClassRing"> <#Include Label="BasisOfRowsCoeff:ResidueClassRing"> <#Include Label="BasisOfColumnsCoeff:ResidueClassRing"> <#Include Label="DecideZeroRowsEffectively:ResidueClassRing"> <#Include Label="DecideZeroColumnsEffectively:ResidueClassRing"> <#Include Label="RelativeSyzygiesGeneratorsOfRows:ResidueClassRing"> <#Include Label="RelativeSyzygiesGeneratorsOfColumns:ResidueClassRing"> </Section> <Section Label="ResidueClassRingForHomalg:ToolsNoFallBack"> <Heading>The Mandatory Tool Operations</Heading> Here we list those matrix operations for which &homalg; provides no fallback method. <#Include Label="InitialMatrix:ResidueClassRing"> <#Include Label="InitialIdentityMatrix:ResidueClassRing"> <#Include Label="ZeroMatrix:ResidueClassRing"> <#Include Label="IdentityMatrix:ResidueClassRing"> <#Include Label="Involution:ResidueClassRing"> <#Include Label="TransposedMatrix:ResidueClassRing"> <#Include Label="CertainRows:ResidueClassRing"> <#Include Label="CertainColumns:ResidueClassRing"> <#Include Label="UnionOfRows:ResidueClassRing"> <#Include Label="UnionOfColumns:ResidueClassRing"> <#Include Label="DiagMat:ResidueClassRing"> <#Include Label="KroneckerMat:ResidueClassRing"> <#Include Label="DualKroneckerMat:ResidueClassRing"> <#Include Label="MulMat:ResidueClassRing"> <#Include Label="AddMat:ResidueClassRing"> <#Include Label="SubMat:ResidueClassRing"> <#Include Label="Compose:ResidueClassRing"> <#Include Label="IsZeroMatrix:ResidueClassRing"> <#Include Label="NumberRows:ResidueClassRing"> <#Include Label="NumberColumns:ResidueClassRing"> <#Include Label="Determinant:ResidueClassRing"> </Section> <Section Label="ResidueClassRingForHomalg:ToolsFallBack"> <Heading>Some of the Recommended Tool Operations</Heading> Here we list those matrix operations for which &homalg; does provide a fallback method. But specifying the below <C>homalgTable</C> functions increases the performance by replacing the fallback method. <#Include Label="AreEqualMatrices:ResidueClassRing"> <#Include Label="IsIdentityMatrix:ResidueClassRing"> <#Include Label="IsDiagonalMatrix:ResidueClassRing"> <#Include Label="ZeroRows:ResidueClassRing"> <#Include Label="ZeroColumns:ResidueClassRing"> </Section> <!-- ############################################################ --> </Appendix> ¤ Dauer der Verarbeitung: 0.13 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28