严格对角占优M-矩阵逆的无穷上界的新估计式  

A New Upper Bound Estimator of the Infinite Norm for the Inverse of Strictly Diagonally Dominant M-Matrix

作　　者：陈胜男 莫宏敏[1] 罗雨薇 

机构地区：[1]吉首大学,数学与统计学院,湖南 吉首

出　　处：《应用数学进展》2023年第6期2802-2809,共8页Advances in Applied Mathematics

摘　　要：基于严格对角占优M-矩阵和它的逆矩阵元素的关系,定义一组新的参数,结合不等式性质,得到了严格对角占优M-矩阵逆矩阵无穷范数上界的一个新估计式。理论分析证明新估计式优于现有文献的有关结果,数值例子亦表明新估计式具有可行性和有效性。Based on the relationship between the strictly diagonally dominant M-matrix and its inverse matrix elements, a new set of parameters is defined and a new estimator of the upper bound of the infinite norm for the inverse of the strictly diagonally dominant M-matrix is obtained. Theoretical analysis proves that the new estimator is superior to the results of the existing literatures, numerical exam-ples also show that the new estimator is feasible and effective.

关 键 词：对角占优矩阵 M-矩阵 无穷范数 上界 

分 类 号：O15[理学—数学]