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

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 k...

Full description

Saved in:
Bibliographic Details
Published in:Applications of mathematics (Prague) 2022-10, Vol.67 (5), p.657-674
Main Authors: Mollahsani, Somayeh, Beik, Fatemeh Panjeh Ali
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Classical and Continuum Physics
Iterative methods
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Optimization
Tensors
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0862-7940
1572-9109
DOI:10.21136/AM.2022.0169-21