On the global convergence of the inexact semi-smooth Newton method for absolute value equation

2015/08/07 by Yunier Bello-Cruz, Cruz, J. Y. Bello, O. P. Ferreira +3
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1508.01581

openalex publication_date 2015/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper, we investigate global convergence properties of the inexact nonsmooth Newton method for solving the system of absolute value equations (AVE). Global Q-linear convergence is established under suitable assumptions. Moreover, we present some numerical experiments designed to investigate the practical viability of the proposed scheme.

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