paper

An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation

arXiv:2103.10129 · doi:10.4208/csiam-am.SO-2022-0013

Abstract

An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose exact version was proposed by Zhou, Wu and Li [H.-Y. Zhou, S.-L. Wu and C.-X. Li, \textit{J. Comput. Appl. Math.}, 394 (2021), 113578]. Global linear convergence of the INMS iterative method is investigated in detail. Some numerical results are given to show the superiority of the INMS iterative method.

15 pages, 4 tables