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

From ApCoCoAWiki
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<command>
 
<command>
 
   <title>BB.GenMultMat</title>
 
   <title>BB.GenMultMat</title>
   <short_description>Compute a generic multiplication matrix.</short_description>
+
   <short_description>Computes a generic multiplication matrix.</short_description>
 
    
 
    
 
<syntax>
 
<syntax>
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   <types>
 
   <types>
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 +
    <type>matrix</type>
 
   </types>
 
   </types>
 
   <key>GenMultMat</key>
 
   <key>GenMultMat</key>

Revision as of 12:44, 28 April 2009

BB.GenMultMat

Computes a generic multiplication matrix.

Syntax

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

Description

Computes the generic 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 The generic ultiplication matrix for the indeterminate x[I] will be computed.

  • @param OO A list of terms representing an order ideal.

  • @return The generic multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].