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

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

Revision as of 11:22, 24 April 2009

BB.GenMultMat

Compute 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}].