Difference between revisions of "ApCoCoA-1:LinBox.Det"
From ApCoCoAWiki
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<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> | ||
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</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 -------------------------------
