File: companion.cat

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companion(1)                   Scilab Function                   companion(1)
NAME
  companion - companion matrix

CALLING SEQUENCE
  A=companion(p)

PARAMETERS

  p         : polynomial or vector of polynomials

  A         : square matrix

DESCRIPTION
  Returns a matrix A with characteristic polynomial equal to p if p is monic.
  If p is not monic the characteristic polynomial of A is equal to p/c where
  c is the coefficient of largest degree in p.

  If p is a vector of monic polynomials, A is block diagonal, and the charac-
  teristic polynomial of the ith block is p(i).

EXAMPLE
  s=poly(0,'s');
  p=poly([1,2,3,4,1],'s','c')
  det(s*eye-companion(p))
  roots(p)
  spec(companion(p))

SEE ALSO
  spec, poly, randpencil

AUTHOR
  F.D.