ApCoCoA-1:LinBox.Det: Difference between revisions
From ApCoCoAWiki
Example section update. |
Description update. |
||
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>LinBox.Det</title> | <title>LinBox.Det</title> | ||
<short_description>Compute the determinant of a matrix.</short_description> | <short_description>Compute the determinant of a matrix.</short_description> | ||
<syntax> | <syntax>LinBox.Det(M:MAT):RAT, INT or ZMOD</syntax> | ||
LinBox.Det(M:MAT):RAT, INT or ZMOD | <description> | ||
</syntax> | |||
<description> | |||
This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | This function returns the determinant of the square matrix <tt>M</tt> computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix. | ||
<itemize> | <itemize> | ||
| Line 33: | Line 31: | ||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
<see>Det</see> | <see>Det</see> | ||
<types> | <types> | ||
<type>matrix</type> | |||
<type>apcocoaserver</type> | |||
</types> | </types> | ||
<key>Det</key> | <key>Det</key> | ||
<key>LinBox.Det</key> | <key>LinBox.Det</key> | ||
<key>linbox.Det</key> | <key>linbox.Det</key> | ||
<key>determinant</key> | <key>determinant</key> | ||
<wiki-category>Package_linbox</wiki-category> | <wiki-category>Package_linbox</wiki-category> | ||
</command> | </command> | ||
Revision as of 11:49, 24 April 2009
LinBox.Det
Compute the determinant of a matrix.
Syntax
LinBox.Det(M:MAT):RAT, INT or ZMOD
Description
This function returns the determinant of the square matrix M computed by the ApCoCoAServer using LinBox functions. Please note that in contrary to the built in CoCoA Det function the entries of M are only allowed to be of type RAT, INT or ZMOD. The resulting type depends on the types of the entries of the matrix.
@param M A square matrix whose components are either of type INT, RAT or ZMOD.
@return The determinant of A.
Example
Use R ::= QQ[x]; LinBox.Det(Mat([[1,2],[0,5]])); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 5 -------------------------------
Example
Use ZZ[x]; LinBox.Det(Mat([[1,2],[1,4]])); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 2 -------------------------------
