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
DOI: 10.12677/AAM.2023.126281, PDF,    科研立项经费支持
作者: 陈胜男, 莫宏敏*, 罗雨薇：吉首大学，数学与统计学院，湖南 吉首
关键词: 对角占优矩阵；M-矩阵；无穷范数；上界；Diagonally Dominant Matrix； M-Matrix； Infinite Norm； Upper Bound
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。
Abstract: 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.
文章引用：陈胜男, 莫宏敏, 罗雨薇. 严格对角占优M-矩阵逆的无穷上界的新估计式[J]. 应用数学进展, 2023, 12(6): 2802-2809. https://doi.org/10.12677/AAM.2023.126281

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