ApCoCoA-1:LinBox.Det: Difference between revisions
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<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||
<par/> | <par/> | ||
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 <tt>RAT</tt>, <tt>INT</tt> or <tt>ZMOD</tt>. The resulting type depends on the types of the entries of the matrix. | ||
<itemize> | <itemize> | ||
<item>@param <em>M</em> A square matrix whose components are either of type INT, RAT or ZMOD.</item> | <item>@param <em>M</em> A square matrix whose components are either of type <tt>INT</tt>, <tt>RAT</tt> or <tt>ZMOD</tt>.</item> | ||
<item>@return The determinant of A.</item> | <item>@return The determinant of <tt>A</tt>.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 13:40, 7 July 2009
LinBox.Det
Computes the determinant of a matrix.
Syntax
LinBox.Det(M:MAT):RAT, INT or ZMOD
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
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 -------------------------------
