一类二次矩阵方程的解  

Solutions of a Class of Quadratic Matrix Equations

作　　者：刘乙 关晋瑞 LIU Yi;GUAN Jin-rui(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《唐山师范学院学报》2024年第6期9-12,共4页Journal of Tangshan Normal University

基　　金：国家自然科学基金项目(12001395)。

摘　　要：对一类源于马尔可夫链的带噪Wiener-Hopf问题的二次矩阵方程进行了研究,证明了当方程中的系数矩阵是正则M-矩阵时,方程仍然存在M-矩阵解,并通过几个数值例子对理论结果进行了验证。The solutions of a class of quadratic matrix equations are studied,and it is proved that there are M-matrix solutions for the equation when the coefficient matrix is a regular M-matrix in the equation.The theoretical results are verified by some numerical examples in the end.

关 键 词：二次矩阵方程 正则M-矩阵 最小非负解 不动点迭代法 

分 类 号：O241.6[理学—计算数学]