Scilab Website | Contribute with GitLab | Mailing list archives | ATOMS toolboxes
Scilab Online Help
2024.1.0 - English


companion

companion matrix

Syntax

A=companion(p)

Arguments

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 characteristic polynomial of the ith block is p(i).

Examples

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

See also

  • spec — eigenvalues, and eigenvectors of a matrix or a pencil
  • poly — Polynomial definition from given roots or coefficients, or characteristic to a square matrix.
  • randpencil — random pencil
Report an issue
<< Matrix Pencil Matrix Pencil ereduc >>

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:
Mon Jun 17 17:49:15 CEST 2024