DZ-type inclusion sets of tensors with application

被引：0
|
作者：
He, Jun [1 ]
Liu, Yanmin [1 ]
Ren, Zerong [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563006, Guizhou, Peoples R China
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2022年 / 39卷 / 01期
关键词：
Dashnic-Zusmanovic type inclusion sets; Brauer-type inclusion sets; DZ-type tensor; Positive definite; EIGENVALUE LOCALIZATION SET;
D O I：
10.1007/s13160-021-00482-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the Dashnic-Zusmanovic inclusion sets of matrices to the tensor case, which is proved to be always tighter than the Brauer-type inclusion sets of tensors introduced by Bu et al. (Linear Algebra Appl 512:234-248, 2017). As applications, we presented that, a DZ-type Z-tensor with nonnegative diagonal entries a strong M-tensor, and an even order DZ-type symmetric tensor with positive diagonal entries is positive definite.
引用
收藏
页码：165 / 176
页数：12
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