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

Fuente: arXiv
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Autori principali: Yu, Dongmei, Chen, Cairong, Han, Deren
Natura: Preprint
Pubblicazione: 2021
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author Yu, Dongmei
Chen, Cairong
Han, Deren
author_facet Yu, Dongmei
Chen, Cairong
Han, Deren
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2103_10129
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation
Yu, Dongmei
Chen, Cairong
Han, Deren
Numerical Analysis
Optimization and Control
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.
title An inexact framework of the Newton-based matrix splitting iterative method for the generalized absolute value equation
topic Numerical Analysis
Optimization and Control
url https://arxiv.org/abs/2103.10129