文献类型：期刊文献

英文题名：A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation

作者：Yan, Lu-Lin[1];Jiang, Yi-Xin[2];Miao, Shu-Xin[2]

第一作者：颜鲁林

通信作者：Miao, SX[1]

机构：[1]Gansu Univ Chinese Med, Dept Sci, Dingxi 743000, Peoples R China;[2]Northwest Normal Univ, Coll Math & Stat, Lanzhou, Peoples R China

第一机构：甘肃中医药大学

通信机构：[1]corresponding author), Northwest Normal Univ, Coll Math & Stat, Lanzhou, Peoples R China.

年份：2024

卷号：2024

外文期刊名：JOURNAL OF FUNCTION SPACES

收录：;Scopus(收录号：2-s2.0-85198062965);WOS:【SCI-EXPANDED(收录号:WOS:001263624800001)】；

基金：The first author is supported by the Innovation Ability Improvement Project of Gansu Province (No. 2021B-385) and the Special Fund for Science and Technology Plans in Dingxi City, Gansu Province (No. DX2022AZ18). The second author is supported by the Excellent Postgraduate "Innovation Star" Scientific Research Project of Gansu Province (No. 2023CXZX-327) and the Northwest Normal University Graduate Research Grant Project (No. 2022KYZZ-S116).

语种：英文

摘要：In this paper, a new matrix splitting iteration method is presented to solve the absolute value equation. The proposed method has three parameters, and it is expected that its convergence efficiency can be improved by selecting appropriate parameters. The convergence of the proposed method is studied. Numerical examples of the absolute value equation with M-matrices are given to show the effectiveness and feasibility of the proposed method.