Characterization of unique solvability of absolute value equations: an overview, extensions, and future directions

被引：0
作者：
Shubham Kumar
Milan Deepmala
Hossein Hladík
机构：
[1] PDPM-Indian Institute of Information Technology,Department of Mathematics
[2] Design and Manufacturing Jabalpur,Department of Mathematics, Faculty of Natural Sciences
[3] PDPM-Indian Institute of Information Technology,Department of Applied Mathematics, Faculty of Mathematics and Physics
[4] Design and Manufacturing Jabalpur,Department of Informatics, Faculty of Science
[5] Charles University,undefined
[6] Jan Evangelista Purkyně University,undefined
来源：
Optimization Letters | 2024年 / 18卷
关键词：
Absolute value equations; Linear complementarity problem; Unique solution; Necessary and sufficient condition; Interval matrix; NP-hardness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper provides an overview of the necessary and sufficient conditions for guaranteeing the unique solvability of absolute value equations. In addition to discussing the basic form of these equations, we also address several generalizations, including generalized absolute value equations and matrix absolute value equations. Our survey encompasses known results as well as novel characterizations proposed in this study.
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页码：889 / 907
页数：18
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