Scilab Home page | Wiki | Bug tracker | Forge | Mailing list archives | ATOMS | File exchange
Please login or create an account
Change language to: Français - Português - 日本語 - Русский

Please note that the recommended version of Scilab is 6.0.1. This page might be outdated.
See the recommended documentation of this function

Scilab help >> Polynomials > sylm

sylm

Sylvester matrix

Calling Sequence

[S]=sylm(a,b)

Arguments

a,b

two polynomials

S

matrix

Description

sylm(a,b) gives the Sylvester matrix associated to polynomials a and b, i.e. the matrix S such that:

coeff( a*x + b*y )' = S * [coeff(x)';coeff(y)'].

Dimension of S is equal to degree(a)+degree(b).

If a and b are coprime polynomials then

rank(sylm(a,b))=degree(a)+degree(b)) and the instructions

u = sylm(a,b) \ eye(na+nb,1)
x = poly(u(1:nb),'z','coeff')
y = poly(u(nb+1:na+nb),'z','coeff')

compute Bezout factors x and y of minimal degree such that a*x+b*y = 1

Scilab Enterprises
Copyright (c) 2011-2017 (Scilab Enterprises)
Copyright (c) 1989-2012 (INRIA)
Copyright (c) 1989-2007 (ENPC)
with contributors
Last updated:
Mon Oct 01 17:34:46 CEST 2012