Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
5.3.0 - English

Change language to:
Français - 日本語 - Português

Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function

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;

<< lyap Linear Algebra orth >>

Copyright (c) 2022-2024 (Dassault Systèmes)
Copyright (c) 2017-2022 (ESI Group)
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Wed Jan 26 16:23:41 CET 2011