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| 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
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