Research articles
ScienceAsia 47 (2021):ID 257-263 |doi:
10.2306/scienceasia1513-1874.2021.035
Rectangular M-tensors and strong rectangular
M-tensors
Jun He*, Yanmin Liu, Guangjun Xu
ABSTRACT: 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.
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School of Mathematics, Zunyi Normal College, Zunyi, Guizhou 563006 China |
* Corresponding author, E-mail: hejunfan1@163.com
Received 23 Sep 2020, Accepted 23 Feb 2021
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