An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation
Year: 2024
Author: Dongmei Yu, Cairong Chen, Deren Han
CSIAM Transactions on Applied Mathematics, Vol. 5 (2024), Iss. 4 : pp. 835–851
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 [ J. Comput. Appl. Math., 394, 2021]. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.SO-2022-0013
CSIAM Transactions on Applied Mathematics, Vol. 5 (2024), Iss. 4 : pp. 835–851
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Generalized absolute value equation Newton-based matrix splitting method inexact iterative method linear convergence.