DSpace
 

Depot Institutionnel de l'UMBB >
Publications Scientifiques >
Publications Internationales >

Veuillez utiliser cette adresse pour citer ce document : http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/5940

Titre: On The Block Decomposition and Spectral Factors of λ -Matrices
Auteur(s): Bekhiti, Belkacem
Dahimene, Abdelhakim
Hariche, Kamel
Fragulis, George F.
Mots-clés: Block roots
Solvents
Spectral factors
Block-Q.D
algorithm
Block-Horner’s algorithm
Matrix polynomial
Date de publication: 2018
Editeur: Arxiv
Collection/Numéro: Control and Cybernetics, 49(1);pp. 41-76
Résumé: In this paper we factorize matrix polynomials into a complete set of spectral factors using a new design algorithm and we provide a complete set of block roots (solvents). The procedure is an extension of the (scalar) Horner method for the computation of the block roots of matrix polynomials. The Block-Horner method brings an iterative nature, faster convergence, nested programmable scheme, needless of any prior knowledge of the matrix polynomial. In order to avoid the initial guess method we proposed a combination of two computational procedures. First we start giving the right Block-QD (Quotient Difference) algorithm for spectral decomposition and matrix polynomial factorization. Then the construction of new block Horner algorithm for extracting the complete set of spectral factors is given.
URI/URL: https://arxiv.org/abs/1803.10557
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/5940
ISSN: 03248569
Collection(s) :Publications Internationales

Fichier(s) constituant ce document :

Fichier Description TailleFormat
1803.10557.pdf575,79 kBAdobe PDFVoir/Ouvrir
View Statistics

Tous les documents dans DSpace sont protégés par copyright, avec tous droits réservés.

 

Valid XHTML 1.0! Ce site utilise l'application DSpace, Version 1.4.1 - Commentaires