Shift-splitting fixed point iteration method for solving generalized absolute value equations

被引：5
|
作者：
Li, Xu [1 ]
Li, Yi-Xin [1 ]
Dou, Yan [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2023年 / 93卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generalized absolute value equation; Shift-splitting; Fixed point iteration; Convergence analysis; SOR-LIKE METHOD; PRECONDITIONERS; BLOCK; SYSTEMS;
D O I：
10.1007/s11075-022-01435-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the shift-splitting strategy, we propose a shift-splitting fixed point iteration (FPI-SS) method for solving large sparse generalized absolute value equations (GAVEs). The FPI-SS method is based on reformulating the GAVE as a two-by-two block nonlinear equation. Several different types of convergence conditions of the FPI-SS method are presented under suitable restrictions. Through numerical experiments, we demonstrate that the FPI-SS method is superior to the fixed point iteration method and the SOR-like iteration method in computing efficiency.
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页码：695 / 710
页数：16
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