Absolute Value Equations with Tensor Product Structure: Unique Solvability and Numerical Solution

被引：0
|
作者：
Somayeh Mollahsani
Fatemeh Panjeh Ali Beik
机构：
[1] Vali-e-Asr University of Rafsanjan,Department of Mathematics
来源：
Applications of Mathematics | 2022年 / 67卷
关键词：
iterative method; absolute value equation; convergence; tensor (Kronecker) product; 65F10; 15A69;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the absolute value equations (AVEs) with a certain tensor product structure. Two aspects of this kind of AVEs are discussed in detail: the solvability and approximate solution. More precisely, first, some sufficient conditions are provided which guarantee the unique solvability of this kind of AVEs. Furthermore, a new iterative method is constructed for solving AVEs and its convergence properties are investigated. The validity of established theoretical results and performance of the proposed iterative scheme are examined numerically.
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页码：657 / 674
页数：17
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