| Titre : | Algorithms for the factorization of matrix polynomials |
| Auteurs : | Abdelhakim Dahimene, Auteur ; K. Hariche, Directeur de thèse |
| Type de document : | texte imprimé |
| Editeur : | Institut National d'Electricité et d'Electronique INELEC, 1992 |
| Format : | 137 f. / 30 cm. |
| Note générale : |
Mémoire de Magister : Electronique : Boumerdès, Institut National d'Electricité et d'Electronique INELEC : 1992
Bibliogr. f. 138 - 142 |
| Langues : | Anglais |
| Index. décimale : | M004292 |
| Tags : | Scalar -- polynomials ; Broyden's method Linear systems Quotient-difference algorithm |
| Résumé : |
The factorization (root finding) of scalar polynomials is an important tool of analysis and design for linear systems.
This thesis is a part of an ongoing effort to generalize these tools to multivariable systems via the factorization of matrix polynomials. The main contributions of this thesis can be summarized as follows: 1/ The development of the Q.D. algorithm, which is a global method capable of producing a complete factorization of a matrix polynomial; 2/ Establishment of an existence theorem for the Q.D. algorithm; 3/ Production of convergence theorems for the Q.D. algorithm; 4/ Study of the initialization of the algorithm; 5/ Applicability of Broyden's method to matrix polynomial problems. As a by-product, some important results have been produced: 6/ Location of the latent roots of a matrix polynomial in the complex plane; 7/ Investigation of the existence of the solvents of a monic matrix polynomial; 8/ Derivation of an incomplite partial fraction expansion of a matrix rational fraction. |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Spécialité | Etat_Exemplaire |
|---|---|---|---|---|---|---|
| M004292 | Papier + ressource électronique | Bibliothèque Annexe | Mémoire de Magister | Disponible | Electronique | Consultation sur place/Téléchargeable |
Documents numériques (1)
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DAHIMENE.Abdelhakim.pdf URL
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