ApCoCoA-1:BB.GenHomMultMat: Difference between revisions

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<command>
<command>
    <title>BB.GenHomMultMat</title>
  <title>BB.GenHomMultMat</title>
    <short_description>Compute a generic homogeneous multiplication matrix.</short_description>
  <short_description>Compute a generic homogeneous multiplication matrix.</short_description>
<syntax>
  <syntax>BB.GenHomMultMat(I:INT,OO:LIST):MAT</syntax>
BB.GenHomMultMat(I:INT,OO:LIST):MAT
  <description>
</syntax>
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}].
    <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>.
<itemize>
<itemize>
   <item>@param <em>I</em> The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.</item>
   <item>@param <em>I</em> The generic homogeneous multiplication matrix for the indeterminate x[I] will be computed.</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>
   <item>@return The generic homogeneous multiplication matrix for the indeterminate x[I] over the ring BBS=K[c_{ij}].</item>
</itemize>
</itemize>
    </description>
  </description>
<types>
  <types>
<type>list</type>
    <type>list</type>
<type>int</type>
    <type>int</type>
<type>integer</type>
    <type>integer</type>
</types>
  </types>
    <key>GenHomMultMat</key>
  <key>GenHomMultMat</key>
    <key>BB.GenHomMultMat</key>
  <key>BB.GenHomMultMat</key>
    <key>borderbasis.GenHomMultMat</key>
  <key>borderbasis.GenHomMultMat</key>
    <wiki-category>Package_borderbasis</wiki-category>
  <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 11:24, 24 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 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 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}].