File: nlev.cat

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nlev(1)                        Scilab Function                        nlev(1)
NAME
  nlev - Leverrier's algorithm

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

PARAMETERS

  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.

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

EXAMPLE
  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, coffg, glever, ss2tf

AUTHOR
  F. D., S. S.