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Scilab manual >> Linear Algebra > nlev

nlev

Leverrier's algorithm

Calling Sequence

[num,den]=nlev(A,z [,rmax])

Arguments

A

real square matrix

z

character string

rmax

optional parameter (see bdiag)

Description

[num,den]=nlev(A,z [,rmax]) computes (z*eye()-A)^(-1)

by block diagonalization of A followed by Leverrier's algorithm on each block.

This algorithm is better than the usual leverrier algorithm but still not perfect!

Examples

A=rand(3,3);x=poly(0,'x');
[NUM,den]=nlev(A,'x')
clean(den-poly(A,'x'))
clean(NUM/den-inv(x*eye()-A))

Authors

F. Delebecque., S. Steer INRIA;

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Last updated:
Wed Jan 26 16:23:41 CET 2011