# Difference between revisions of "ApCoCoA-1:BB.GenHomMultMat"

From ApCoCoAWiki

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− | Computes the generic homogeneous multiplication matrix for x[I] with respect to an order ideal. The inputs are an integer I and a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is a matrix of size <ref>Len</ref>(OO) x <ref>Len</ref>(OO) over the ring BBS=K[c_{ij}]. | + | Computes the generic homogeneous multiplication matrix for <tt>x[I]</tt> with respect to an order ideal. The inputs are an integer <tt>I</tt> and a list <tt>OO</tt> of terms that specify an order ideal. The second element of <tt>OO</tt> must be a non-constant polynomial. The output is a matrix of size <ref>Len</ref>(OO) x <ref>Len</ref>(OO) over the ring <tt>BBS=K[c_{ij}]</tt>. |

<itemize> | <itemize> | ||

− | <item>@param <em>I</em> | + | <item>@param <em>I</em> An integer which specifies the indeterminate for which the generic homogeneous multiplication matrix will be computed.</item> |

<item>@param <em>OO</em> A list of terms representing an order ideal.</item> | <item>@param <em>OO</em> A list of terms representing an order ideal.</item> | ||

− | <item>@return The generic homogeneous multiplication matrix | + | <item>@return The generic homogeneous multiplication matrix.</item> |

</itemize> | </itemize> | ||

</description> | </description> |

## Revision as of 15:11, 8 July 2009

## BB.GenHomMultMat

Computes a generic homogeneous multiplication matrix.

### Syntax

BB.GenHomMultMat(I:INT,OO:LIST):MAT

### Description

Computes the generic homogeneous multiplication matrix for `x[I]` with respect to an order ideal. The inputs are an integer `I` and a list `OO` of terms that specify an order ideal. The second element of `OO` must be a non-constant polynomial. The output is a matrix of size Len(OO) x Len(OO) over the ring `BBS=K[c_{ij}]`.

@param

*I*An integer which specifies the indeterminate for which the generic homogeneous multiplication matrix will be computed.@param

*OO*A list of terms representing an order ideal.@return The generic homogeneous multiplication matrix.