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| Titre: | The generalized Newton method for the absolute value matrix equation |
| Auteur(s): | Boulharts, Imene
Arama, Chourouk |
| Mots-clés: | Absolute value matrix equations
Singular value
Linear system
Picard's iterative method
Generalized Newton method |
| Date de publication: | 24 |
| Résumé: | In this dissertation, we have investigated a class of the generalized absolute value matrix equations (GAVME) A𝑋−𝐵|𝑋|=𝐶,(𝐴, 𝐵,𝐶,𝑋∈ℝ𝑛×𝑛). We have also derived weaker sufficient conditions for the unique solvability of the (GAVME). Picard's iterative method and a generalized Newton method are proposed for its numerical solution. Furthermore, we have demonstrated, under suitable assumptions, the well-definedness of the proposed algorithms and their global linear convergence to the unique solution of the (GAVME). Finally, we present a diverse set of numerical results to illustrate the efficiency of our proposed approaches. |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/5419 |
| Collection(s) : | Mémoires de master
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