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Справка Scilab >> Linear Algebra > State-Space Matrices > nlev

nlev

Leverrier's algorithm

Syntax

[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))

See also

  • coff — resolvent (cofactor method)
  • coffg — inverse of polynomial matrix
  • glever — inverse of matrix pencil
  • ss2tf — conversion from state-space to transfer function
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Last updated:
Tue Feb 14 15:13:21 CET 2017