3阶对角占优张量的子直和  

On Subdirect Sums of Third-Order Diagonally Dominant Tensors

作　　者：何建锋 HE Jian-feng(School of Mathematics and Statistics,Chuxiong Normal University,Chuxiong Yunnan 675000,China)

机构地区：[1]楚雄师范学院数学与统计学院,云南楚雄675000

出　　处：《西南师范大学学报（自然科学版）》2020年第10期1-7,共7页Journal of Southwest 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：利用矩阵与张量之间的联系,将矩阵子直和的概念推广到张量上,定义了张量的子直和.讨论3阶严格对角占优张量的k-子直和仍然是严格对角占优张量,给出3阶S-严格对角占优型张量的k-子直和为S-严格对角占优型张量的条件,并举例说明.According to the relation between the matrices and tensors,the subdirect sums of tensors has been introduced,which is the generalization of matrices case.Some conditions have been given to guarantee that the k-subdirect sums of third-order strictly diagonally dominant tensors(SDD)is also SDD.The same situation has been analyzed for S-SDD tensors,and examples been given to illustrate the theoretical results presented.

关 键 词：张量 子直和 严格对角占优张量 矩阵 

分 类 号：O151.21[理学—数学]