Polynomial coefficient vector derived from sub-polynomial factors

A polynomial coefficient vector is derived from several powered polynomial factors.
1,3K téléchargements
Mise à jour 27 avr. 2009

Afficher la licence

For given
p(x) = PROD[i=1,m]{SUM[j=2,n+2]{(A(i,j)*x^(j-2))^A(i,1)}}
we shall get
p(x) = SUM[s=1,N+1]{p(s)^(N+1-s)}

For example
If
p(x) = (x-4)^5 * (3x^6-7x^3+5x+2)^2 * (x^3+8)^3 * x^2
or
A = [ 5 -4 1 0 0 0 0 0
2 2 5 0 -7 0 0 3
3 8 0 0 1 0 0 0
1 0 0 1 0 0 0 0 ]
then from
p = polyget(A)
we get
p = [ 9 -180 1440 -5586 .... -7864320 -209715 0 0 ]
or
p(x) = 9x^28-180x^27+1440x^26-5586x^25+ ... -7864320x^3-2097152x^2.

This routine is mainly to be used for creating test polynomials to
(a) determine the polynomial GCD of a pair of polynomials,
(b) find the roots with muliplicities of a given polynomial.

References in MATLAB Central:
(1) "GCD of polynomials,"
File ID 20859, 12 Apr 2009
(2) "Factorization of a polynomial with multiple roots,"
File ID: 20867, 27 Jul 2008
(3) "Multiple-roots polynomial solved by partial fraction expansion,"
File ID: 22375, 10 Dec 2008

F C Chang 04/25/09

Citation pour cette source

Feng Cheng Chang (2024). Polynomial coefficient vector derived from sub-polynomial factors (https://www.mathworks.com/matlabcentral/fileexchange/23900-polynomial-coefficient-vector-derived-from-sub-polynomial-factors), MATLAB Central File Exchange. Récupéré le .

Compatibilité avec les versions de MATLAB
Créé avec R13
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
Catégories
En savoir plus sur Polynomials dans Help Center et MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Publié le Notes de version
1.1.0.0

Correct typo in m-file

1.0.0.0