严格对角占优张量的子直和  

The Subdirect Sum of Strictly Diagonally Dominant Tensors

作　　者：何建锋 HE Jianfeng(School of Mathematics and Statistics, Chuxiong Normal University, Chuxiong 675000, China)

机构地区：[1]楚雄师范学院数学与统计学院,楚雄675000

出　　处：《华南师范大学学报（自然科学版）》2021年第3期102-105,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(61463002);云南省教育厅科学研究基金项目(2019J0399)。

摘　　要：根据张量与矩阵之间的联系,将方阵子直和及S-严格对角占优矩阵的概念推广到张量上,给出了张量子直和与S-严格对角占优型张量的定义,用分类讨论的方法证明2个严格对角占优张量的子直和仍然为严格对角占优张量,并讨论了S-严格对角占优型张量的情形,给出2个张量的子直和为S-严格对角占优型张量的条件.The concept of subdirect sum of square matrices is extended to tensors according to the relation between matrix and tensor.The definitions of subdirect sum of tensors and S-strictly diagonally dominant tensors are given.It is proved,with the method of classification,that the subdirect sum of two strictly diagonally dominant tensors is also a strictly diagonally dominant tensor.Moreover,the condition ensuring that the subdirect sum of two tensors is the S-strictly diagonally dominant tensor is also given.

关 键 词：子直和 张量 严格对角占优 

分 类 号：O151.21[理学—数学]