The AOR-Base Splitting Modified Fixed Point Iteration for Solving Absolute Value Equations  

作　　者：Changfeng Ma Jing Kang 

机构地区：[1]School of Data and Computer Science,Xiamen Institute of Technology,Xiamen 361021,P.R.China [2]School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,P.R.China

出　　处：《Communications in Mathematical Research》2024年第3期261-274,共14页数学研究通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant 12371378);by the Natural Science Foundation of Fujian Province (Grant 2023J011127).

摘　　要：Recently,Yu et al.presented a modified fixed point iterative(MFPI)method for solving large sparse absolute value equation(AVE).In this paper,we consider using accelerated overrelaxation(AOR)splitting to develop the modified fixed point iteration(denoted by MFPI-JS and MFPI-GSS)methods for solving AVE.Furthermore,the convergence analysis of the MFPI-JS and MFPI-GSS methods for AVE are also studied under suitable restrictions on the iteration parameters,and the functional equation between the parameter T and matrix Q.Finally,numerical examples show that the MFPI-JS and MFPI-GSS are efficient iteration methods.

关 键 词：Absolute value equation modified point iteration convergence analysis numerical experiment 

分 类 号：O175[理学—数学]