A generalization of the relaxation-based matrix splitting iterative method for solving the system of generalized absolute value equations

Autor:	Li, Xuehua, Chen, Cairong
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	By incorporating a new matrix splitting and the momentum acceleration into the relaxed-based matrix splitting (RMS) method \cite{soso2023}, a generalization of the RMS (GRMS) iterative method for solving the generalized absolute value equations (GAVEs) is proposed. Unlike some existing methods, by using the Cauchy's convergence principle, we give some sufficient conditions for the existence and uniqueness of the solution to the GAVEs and prove that our method can converge to the unique solution of the GAVEs. Moreover, we can obtain a few new and weaker convergence conditions for some existing methods. Preliminary numerical experiments show that the proposed method is efficient. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.10891 Zobrazit plný text záznamu View this record from Arxiv