ApCoCoA-1:BB.GenHomMultMat: Difference between revisions
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<description> | <description> | ||
Computes the generic homogeneous multiplication matrix for <formula>x[I]</formula> 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 <formula>Mu<times/>Mu</formula> over the ring <formula>BBS=K[c_{ij}]</formula>. | Computes the generic homogeneous multiplication matrix for <formula>x[I]</formula> 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 <formula>Mu<times/>Mu</formula> over the ring <formula>BBS=K[c_{ij}]</formula>. | ||
<itemize> | |||
<item>@param <em>I</em> The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.</item> | |||
<item>@param <em>OO</em> A list of terms representing an order ideal.</item> | |||
<item>@return The generic homogeneous multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].</item> | |||
</itemize> | |||
</description> | </description> | ||
<key>kreuzer</key> | <key>kreuzer</key> | ||
Revision as of 14:02, 22 April 2009
BB.GenHomMultMat
Compute a generic homogeneous multiplication matrix.
Syntax
BB.GenHomMultMat(I:INT,OO:LIST):MAT
Description
Computes the generic homogeneous multiplication matrix for <formula>x[I]</formula> 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 <formula>Mu<times/>Mu</formula> over the ring <formula>BBS=K[c_{ij}]</formula>.
@param I The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.
@param OO A list of terms representing an order ideal.
@return The generic homogeneous multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].
