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

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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>.
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<itemize>
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  <item>@param <em>I</em> The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.</item>
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  <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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  <item>@return The generic homogeneous multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].</item>
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</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}].