A Two-Steps Fixed-Point Method For Solving A General Absolute Value Matrix Equation / Maroua Djamai  

Public ISBD Titre : A Two-Steps Fixed-Point Method For Solving A General Absolute Value Matrix Equation Type de document : document électronique Auteurs : Maroua Djamai, Auteur ; Aya Bouchaoui, Auteur ; Nassima Anane, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2026 Importance : 1 vol (42 f.) Format : 29 cm Note générale : Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Absolute value matrix equations, Unique solution, Picard’s fixed-point, Iterative method, Global convergence Résumé : This dissertation investigates a class of General Absolute Value Matrix Equations (GAVME) of the form: AX−B|X| = C, (A, B, C ∈ ℝ????×????,) are given matrices. We derive several weakened sufficient conditions to guarantee the unique solvability of the GAVME. For its numerical solution, a two-steps Picard’s and fixed-point iterative methods are proposed. Furthermore, we establish that under suitable assumptions, the proposed algorithms are welldefined and exhibit global linear convergence toward the unique solution of the GAVME. To conclude, a diverse array of numerical experiments is presented to substantiate the efficiency and robustness of our approach. Côte titre : MAM/0863 En ligne : https://repository.univ-setif.dz/server/api/core/bitstreams/cc4991d6-bc07-4d20-8 [...] A Two-Steps Fixed-Point Method For Solving A General Absolute Value Matrix Equation [document électronique] / Maroua Djamai, Auteur ; Aya Bouchaoui, Auteur ; Nassima Anane, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (42 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Absolute value matrix equations, Unique solution, Picard’s fixed-point, Iterative method, Global convergence Résumé : This dissertation investigates a class of General Absolute Value Matrix Equations (GAVME) of the form: AX−B|X| = C, (A, B, C ∈ ℝ????×????,) are given matrices. We derive several weakened sufficient conditions to guarantee the unique solvability of the GAVME. For its numerical solution, a two-steps Picard’s and fixed-point iterative methods are proposed. Furthermore, we establish that under suitable assumptions, the proposed algorithms are welldefined and exhibit global linear convergence toward the unique solution of the GAVME. To conclude, a diverse array of numerical experiments is presented to substantiate the efficiency and robustness of our approach. Côte titre : MAM/0863 En ligne : https://repository.univ-setif.dz/server/api/core/bitstreams/cc4991d6-bc07-4d20-8 [...]

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0863	MAM/0863	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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