一组关于非奇异H-矩阵的细分迭代判别新条件  

A Set of New Criteria for the Iterative Discrimination of Subdivision of Nonsingular H-Matrices

作　　者：蒋雯雯 庹清[1] 

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》2020年第1期50-59,共10页Advances in Applied Mathematics

基　　金：国家自然科学基金(11461027)和湖南省教育厅科研基金(16A173),吉首大学研究生创新基金(JGY201932)。

摘　　要：本文根据非奇异H-矩阵与α-对角占优矩阵之间的关系,通过细分矩阵的下标区间,以及构造出新的迭代系数,得出了一组关于非奇异H-矩阵的细分迭代判别新条件,该条件改进了近期的某些结果,最后给出的几个数值算例说明了其有效性。In this paper, we produced a set of new conditions for subdivided and iterative criteria of nonsingular H-matrices by the method of subdivided region and selected iterative coefficient, based on the nonsingular H-matrix and α-diagonally dominant matrix the relationship between diagonally dominant matrices. These conditions improved some recent results. Finally, several numerical examples were given to illustrate their validity.

关 键 词：非奇异H-矩阵 Α-对角占优矩阵 不可约 非零元素链 

分 类 号：O15[理学—数学]