A class of maximum-based iteration methods for the generalized absolute value equation

Shiliang Wu; Deren Han; Cuixia Li

doi:10.1016/j.aml.2024.109139

A class of maximum-based iteration methods for the generalized absolute value equation

Shiliang Wu^*
, Deren Han
, Cuixia Li

^*Corresponding author for this work

School of Mathematical Sciences

Yunnan Normal University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, by using |x|=2max{0,x}−x, a class of maximum-based iteration methods is established to solve the generalized absolute value equation Ax−B|x|=b. Some convergence conditions for the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.

Original language	English
Article number	109139
Journal	Applied Mathematics Letters
Volume	156
DOIs	https://doi.org/10.1016/j.aml.2024.109139
State	Published - Oct 2024

Keywords

Convergence
Generalized absolute value equation
Iteration method

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10.1016/j.aml.2024.109139

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title = "A class of maximum-based iteration methods for the generalized absolute value equation",

abstract = "In this paper, by using |x|=2max\{0,x\}−x, a class of maximum-based iteration methods is established to solve the generalized absolute value equation Ax−B|x|=b. Some convergence conditions for the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.",

keywords = "Convergence, Generalized absolute value equation, Iteration method",

author = "Shiliang Wu and Deren Han and Cuixia Li",

note = "Publisher Copyright: {\textcopyright} 2024",

year = "2024",

month = oct,

doi = "10.1016/j.aml.2024.109139",

language = "英语",

volume = "156",

journal = "Applied Mathematics Letters",

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T1 - A class of maximum-based iteration methods for the generalized absolute value equation

AU - Wu, Shiliang

AU - Han, Deren

AU - Li, Cuixia

PY - 2024/10

Y1 - 2024/10

N2 - In this paper, by using |x|=2max{0,x}−x, a class of maximum-based iteration methods is established to solve the generalized absolute value equation Ax−B|x|=b. Some convergence conditions for the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.

AB - In this paper, by using |x|=2max{0,x}−x, a class of maximum-based iteration methods is established to solve the generalized absolute value equation Ax−B|x|=b. Some convergence conditions for the proposed method are presented. By some numerical experiments, the effectiveness and feasibility of the proposed method are confirmed.

KW - Convergence

KW - Generalized absolute value equation

KW - Iteration method

UR - https://www.scopus.com/pages/publications/85193452906

U2 - 10.1016/j.aml.2024.109139

DO - 10.1016/j.aml.2024.109139

M3 - 文章

AN - SCOPUS:85193452906

SN - 0893-9659

VL - 156

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 109139

ER -

A class of maximum-based iteration methods for the generalized absolute value equation

Abstract

Keywords

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