Work

Sharp Conditions of a New Matrix Splitting Iteration Method for Generalized Absolute Value Equation

Year: 2025

Type: article

Abstract: For the generalized absolute value equation (denoted by GAVE), we develop a new matrix splitting iteration method, which is derived by reformulating equivalently GAVE as a three-by-three block non-linear equation. Convergence of the new proposal is obtained under certain assumptions imposed on the involved iteration parameters and splitting matrix. Moreover, sharp conditions of the iteration parameters are presented via the new analysis strategy and numerical experiments also confirm the achieved theoretical results. Compared with some well-known methods, the test results show the feasibility, robustness and effectiveness of the new matrix splitting iteration method with application to the linear complementarity problem.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240308

Author: Weihua Lin

Institution: Hanshan Normal University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Jilin Office of Philosophy and Social Science

OpenAlex ID: W4413368022