QBD矩阵方程的最小非负解  

The minimal nonnegative solution of QBD matrix equations

作　　者：赵晓潞 关晋瑞 常帅 ZHAO Xiaolu;GUAN Jinrui;CHANG Shuai(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong Shani 030619)

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：《宁夏师范学院学报》2023年第10期19-24,共6页Journal of Ningxia Normal University

基　　金：国家自然科学基金(12001395);山西省科技创新人才团队专项资助(202204051002018)。

摘　　要：研究QBD方程的最小非负解,证明当方程的系数矩阵为正则M-矩阵时,方程仍然存在最小非负解,并在此基础上讨论最小非负解的有关性质.最后通过几个例子对文中的理论结果进行验证.In this paper,the minimal nonnegative solution of QBD equation is studied,and it is proved that the equation still has a minimal nonnegative solution when the coefficient matrix is a regular M-matrix.The relevant properties of the minimal nonnegative solution are discussed.In addition,several examples are given to verify the theoretical results.

关 键 词：QBD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]