Difference between revisions of "ApCoCoA-1:LinBox.CharPoly"
From ApCoCoAWiki
(Types section update.) |
(Example section update.) |
||
| Line 15: | Line 15: | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
| − | Use R ::= | + | Use R ::= ZZ/(19)[x]; |
LinBox.CharPoly(BringIn(Mat([[1,2,3],[4,5,6],[7,8,9]])), x); | LinBox.CharPoly(BringIn(Mat([[1,2,3],[4,5,6],[7,8,9]])), x); | ||
-- CoCoAServer: computing Cpu Time = 0 | -- CoCoAServer: computing Cpu Time = 0 | ||
| Line 21: | Line 21: | ||
x^3 + 4x^2 + x | x^3 + 4x^2 + x | ||
------------------------------- | ------------------------------- | ||
| − | + | </example> | |
| − | Use R ::= | + | <example> |
| + | Use R ::= ZZ[x]; | ||
LinBox.CharPoly(Mat([[1,2,3],[4,5,6],[7,8,9]]), x); | LinBox.CharPoly(Mat([[1,2,3],[4,5,6],[7,8,9]]), x); | ||
-- WARNING: Coeffs are not in a field | -- WARNING: Coeffs are not in a field | ||
Revision as of 13:30, 23 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.
@param M A matrix with whose components do not contain the indeterminate X.
@param X An indeterminate.
@return The characteristic polynomial of M in the indeterminate X.
Example
Use R ::= ZZ/(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 -------------------------------
Example
Use R ::= ZZ[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 -------------------------------
