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 [...]