SCIENCE ASIA

Volume 47, No. 02, Month APRIL, Year 2021, Pages 257 - 263

Rectangular m-tensors and strong rectangular m-tensors

Jun He, Yanmin Liu, Guangjun Xu

Abstract Download PDF

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.

Keywords

rectangular tensor, H-rectangular tensor, V-singular value, positive definiteness

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