The unique solution of a class of the new generalized absolute value equation

被引：16

作者：

Wu, Shi-Liang ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 116卷

基金：

中国国家自然科学基金;

关键词：

New generalized absolute value equation; Unique solution; Necessary and sufficient condition;

D O I：

10.1016/j.aml.2021.107029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some useful necessary and sufficient conditions for the unique solvability of a class of the new generalized absolute value equation (NGAVE) Ax - vertical bar Bx vertical bar = d with A, B is an element of R-nxn from the optimization field. Incidentally, some sufficient conditions for the unique solvability of a class of the NGAVE are obtained as well. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：6

共 32 条

[1] On the unique solution of the generalized absolute value equation
Shiliang Wu
Shuqian Shen
Optimization Letters, 2021, 15 : 2017 - 2024
[2] On the unique solution of the generalized absolute value equation
Wu, Shiliang
Shen, Shuqian
OPTIMIZATION LETTERS, 2021, 15 (06) : 2017 - 2024
[3] A Note on Unique Solvability of the Generalized Absolute Value Matrix Equation
Shubham Kumar
National Academy Science Letters, 2023, 46 : 129 - 131
[4] A Note on Unique Solvability of the Generalized Absolute Value Matrix Equation
Kumar, Shubham
Deepmala
NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2023, 46 (02): : 129 - 131
[5] The unique solution of the absolute value equations
Wu, Shi-Liang
Li, Cui-Xia
APPLIED MATHEMATICS LETTERS, 2018, 76 : 195 - 200
[6] New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation
Wang, Li-Min
Li, Cui-Xia
APPLIED MATHEMATICS LETTERS, 2021, 116 (116)
[7] Sufficient Conditions for the Unique Solution of a New Class of Sylvester-Like Absolute Value Equations
Li, Cuixia
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 195 (02) : 676 - 683
[8] Sufficient Conditions for the Unique Solution of a New Class of Sylvester-Like Absolute Value Equations
Cuixia Li
Journal of Optimization Theory and Applications, 2022, 195 : 676 - 683
[9] On unique solvability of the absolute value equation
Jiri Rohn
Optimization Letters, 2009, 3 : 603 - 606
[10] On unique solvability of the absolute value equation
Rohn, Jiri
OPTIMIZATION LETTERS, 2009, 3 (04) : 603 - 606

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