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xml version=
"1.0" encoding=
"UTF-8"?>
<!--
Tools.xml MatricesForHomalg package documentation Mohamed Barakat
Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen
-->
<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.
</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=
"MonomialMatrix">
<#
Include Label=
"RandomMatrixBetweenGradedFreeLeftModules">
<#
Include Label=
"RandomMatrixBetweenGradedFreeRightModules">
<#
Include Label=
"Diff">
</Section>
<!-- ############################################################ -->
</Appendix>
