Quelle Tools.xml Sprache: XML

<?xml version="1.0" encoding="UTF-8"?>



<Appendix Label="Tool_Operations">
<Heading>The Matrix Tool Operations</Heading>

The functions listed below are components of the <C>homalgTable</C>
object stored in the ring. They are only indirectly accessible through
standard methods that invoke them.

<Section Label="ToolsNoFallBack">
<Heading>The Tool Operations <E>without</E> a Fallback Method</Heading>

There are matrix methods for which &homalg; needs a
<C>homalgTable</C> entry for non-internal rings, as it cannot provide
a suitable fallback. Below is the list of these <C>homalgTable</C>
entries.

<#Include Label="InitialMatrix:homalgTable_entry">
<#Include Label="InitialIdentityMatrix:homalgTable_entry">

<#Include Label="ZeroMatrix:homalgTable_entry">
<#Include Label="IdentityMatrix:homalgTable_entry">

<#Include Label="Involution:homalgTable_entry">
<#Include Label="TransposedMatrix:homalgTable_entry">
<#Include Label="CertainRows:homalgTable_entry">
<#Include Label="CertainColumns:homalgTable_entry">
<#Include Label="UnionOfRows:homalgTable_entry">
<#Include Label="UnionOfRowsPair:homalgTable_entry">
<#Include Label="UnionOfColumns:homalgTable_entry">
<#Include Label="UnionOfColumnsPair:homalgTable_entry">
<#Include Label="DiagMat:homalgTable_entry">
<#Include Label="KroneckerMat:homalgTable_entry">
<#Include Label="DualKroneckerMat:homalgTable_entry">
<#Include Label="MulMat:homalgTable_entry">
<#Include Label="AddMat:homalgTable_entry">
<#Include Label="SubMat:homalgTable_entry">
<#Include Label="Compose:homalgTable_entry">

<#Include Label="IsZeroMatrix:homalgTable_entry">
<#Include Label="NumberRows:homalgTable_entry">
<#Include Label="NumberColumns:homalgTable_entry">
<#Include Label="Determinant:homalgTable_entry">
<#Include Label="CoefficientsWithGivenMonomials:homalgTable_entry">

</Section>

<Section Label="ToolsFallBack">
<Heading>The Tool Operations with a Fallback Method</Heading>

These are the methods for which it is recommended for performance
reasons to have a <C>homalgTable</C> entry for non-internal
rings. &homalg; only provides a generic fallback method.

<#Include Label="AreEqualMatrices:homalgTable_entry">
<#Include Label="IsIdentityMatrix:homalgTable_entry">
<#Include Label="IsDiagonalMatrix:homalgTable_entry">

<#Include Label="ZeroRows:homalgTable_entry">
<#Include Label="ZeroColumns:homalgTable_entry">

<#Include Label="GetColumnIndependentUnitPositions:homalgTable_entry">
<#Include Label="GetRowIndependentUnitPositions:homalgTable_entry">
<#Include Label="GetUnitPosition:homalgTable_entry">

<#Include Label="PositionOfFirstNonZeroEntryPerRow:homalgTable_entry">
<#Include Label="PositionOfFirstNonZeroEntryPerColumn:homalgTable_entry">

</Section>



</Appendix>

quality89%

¤ Dauer der Verarbeitung: 0.13 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.