The Generalized Fixed Point Iteration Method for AVE  

作　　者：Changfeng MA Jing KANG 

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

出　　处：《Journal of Mathematical Research with Applications》2024年第6期837-849,共13页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12371378);the Natural Science Foundation of Fujian Province(Grant No.2024J01980)。

摘　　要：In this paper,based on the previous published work by Ke et al.(2019)and Li et al.(2022),by using the matrix splitting technique,generalized fixed point iteration method(GFPI)is established to solve the absolute value equation(AVE).The proposed method not only includes SOR-like method,FPI method,MFPI method and so on,but also generates some special versions.Some convergence conditions of the proposed method with different iteration error norms are presented.Furthermore,methods corresponding to other splitting methods are studied in detail.The effectiveness and feasibility of the proposed method are confirmed by some numerical experiments.

关 键 词：absolute value equations fixed point iteration CONVERGENCE 

分 类 号：O241.6[理学—计算数学]