.png){kind=icon}
返回
Solutions for underdetermined generalized absolute value equations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.laa.2025.10.027.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
An underdetermined generalized absolute value equation (GAVE) may have no solution, one solution, finitely many or infinitely many solutions. This paper is concerned with sufficient conditions that guarantee the existence of solutions to an underdetermined GAVE. Particularly, sufficient conditions are established for an underdetermined GAVE to have infinitely many solutions with no zero entry that possess a particular or any given sign pattern. Some existing results for square GAVE are also extended. It is noted that some of the proofs are constructive and lead to iterative schemes that can solve the underdetermined GAVE in question. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keyword:
Underdetermined linear system
Underdetermined generalized absolute value equations
Existence of solutions
Iterative methods
期刊
L
IF:
1.1
论文数:
167
被引数:
0
机构
引用论文
Shift-splitting fixed point iteration method for solving generalized absolute value equations求解广义绝对值方程的移位-分裂不动点迭代方法
.png){kind=icon}
PREAI
分享收藏Modified Newton-Type Iteration Methods for Generalized Absolute Value Equations广义绝对值方程的改进牛顿型迭代法
PREAI
分享收藏Global and Finite Convergence of a Generalized Newton Method for Absolute Value Equations广义牛顿法求解绝对值方程的全球与有限收敛性
PREAI
分享收藏
Comments on finite termination of the generalized Newton method for absolute value equations关于广义牛顿法求解绝对值方程有限终止的评论
PREAI
分享收藏
查看更多内容