Difference between revisions of "ApCoCoA-1:LinBox.CharPoly"
From ApCoCoAWiki
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<command> | <command> | ||
<title>LinBox.CharPoly</title> | <title>LinBox.CharPoly</title> | ||
| − | <short_description>characteristic polynomial of a matrix</short_description> | + | <short_description>Compute the characteristic polynomial of a matrix.</short_description> |
<syntax> | <syntax> | ||
LinBox.CharPoly(M:MAT, X:POLY):LIST | LinBox.CharPoly(M:MAT, X:POLY):LIST | ||
Revision as of 16:34, 21 April 2009
LinBox.CharPoly
Compute the characteristic polynomial of a matrix.
Syntax
LinBox.CharPoly(M:MAT, X:POLY):LIST
Description
X is an indeterminate, and M is a square matrix whose entries do not involve X.
This function returns the characteristic polynomial of M in the indeterminate X computed by the ApCoCoAServer using LinBox functions.
Example
Use R ::= Z/(19)[x]; LinBox.CharPoly(BringIn(Mat([[1,2,3],[4,5,6],[7,8,9]])), x); -- CoCoAServer: computing Cpu Time = 0 ------------------------------- x^3 + 4x^2 + x ------------------------------- Use R ::= Z[x]; LinBox.CharPoly(Mat([[1,2,3],[4,5,6],[7,8,9]]), x); -- 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 ------------------------------- x^3 - 15x^2 - 18x -------------------------------
