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  Tools.xml            MatricesForHomalg package documentation            Mohamed Barakat

         Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen

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<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>

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</Appendix>