求解M-矩阵绝对值方程的不动点迭代算法  

A FIXED POINT ITERATIVE METHOD FOR SOLVING ABSOLUTE VALUE EQUATIONS OF M-MATRIX

作　　者：覃土成 马昌凤[1] QIN Tucheng;MA Changfeng(School of Mathematics and Statistics,Fujian Normal University,Fujian,Fuzhou 350007,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350007

出　　处：《井冈山大学学报（自然科学版）》2024年第5期17-23,共7页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(12371378);福建省自然科学基金项目(2023J011127)。

摘　　要：多种不动点迭代方法被用于求解绝对值方程■。受此启发,本研究建立了一种求解M-矩阵绝对值方程的不动点迭代算法,在适当条件下分析了该方法的收敛性,并通过数值算例验证了该方法的可行性和有效性。A variety of fixed point iterative methods have been used to solve the absolute value equation ■.Inspired by their work,a fixed point iterative method for solving the absolute value equation of M-matrix was suggested,its convergence under proper conditions was assessed,and its practicality and validity was validated using numerical examples.

关 键 词：绝对值方程 M-矩阵 不动点迭代算法 收敛性分析 数值实验 

分 类 号：O241.6[理学—计算数学]