Rectangular M-tensors and strong rectangular M-tensors

被引：2
|
作者：
He, Jun [1 ]
Liu, Yanmin [1 ]
Xu, Guangjun [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563006, Guizhou, Peoples R China
来源：
SCIENCEASIA | 2021年 / 47卷 / 02期
关键词：
rectangular tensor; H-rectangular tensor; V-singular value; positive definiteness;
D O I：
10.2306/scienceasia1513-1874.2021.035
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, two new classes of rectangular tensors called rectangular M-tensors and strong rectangular M-tensors are introduced. It is shown that an even-order partially symmetric rectangular M-tensor is positive semidefinite and an even-order partially symmetric strong rectangular M-tensor is positive definite. As a generalization of rectangular M-tensors, we introduce the rectangular H-tensors. In addition, some properties of (strong) rectangular M-tensors are established.
引用
收藏
页码：257 / 263
页数：7
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