ApCoCoA-1:BB.GenHomMultMat: Difference between revisions
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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.