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Please note that the recommended version of Scilab is 6.0.2. This page might be outdated.
See the recommended documentation of this function

Scilab help >> Linear Algebra > Matrix Pencil > companion

companion

companion matrix

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()-companion(p))
roots(p)
spec(companion(p))

• spec — eigenvalues of matrices and pencils
• poly — определение полинома
• randpencil — random pencil