A monotone block coordinate descent method for solving absolute value equations

TL;DR

This paper introduces a monotone block coordinate descent algorithm for solving absolute value equations, providing theoretical convergence analysis and numerical evidence of its effectiveness.

Contribution

It presents a novel monotone block coordinate descent method specifically designed for absolute value equations, with proven convergence properties.

Findings

Algorithm converges globally under certain conditions

Numerical experiments confirm the method's feasibility

Effective in solving AVEs efficiently

Abstract

In this paper, we proposed a monotone block coordinate descent method for solving absolute value equation (AVE). Under appropriate conditions, we analyzed the global convergence of the algorithm and conduct numerical experiments to demonstrate its feasibility and effectiveness.