English

An inexact Picard iteration method for absolute value equation

Numerical Analysis 2015-10-01 v1

Abstract

Recently, a class of inexact Picard iteration method for solving the absolute value equation: Axx =bAx-|x~|=b have been proposed in [Optim Lett 8:2191-2202,2014]. To further improve the performance of Picard iteration method, a new inexact Picard iteration method is proposed to solve the absolute value equation. The sufficient conditions for the convergence of the proposed method for the absolute value equation is given. Some numerical experiments are given to demonstrate the effectiveness of the new method.

Keywords

Cite

@article{arxiv.1509.09102,
  title  = {An inexact Picard iteration method for absolute value equation},
  author = {Shu-Xin Miao and Xiang-Tuan Xiong and Jin Wen},
  journal= {arXiv preprint arXiv:1509.09102},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1403.7013, arXiv:1404.1678 by other authors

R2 v1 2026-06-22T11:09:01.813Z