Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems

Qingyu Zeng, Jun He and Yanmin Liu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-10

Abstract:

In this paper, some properties of structured rectangular tensors are presented, and the relationship among these structured rectangular tensors is also given. It is shown that all the V-singular values of rectangular P-tensors are positive. Some necessary and/or sufficient conditions for a rectangular tensor to be a rectangular P-tensor are also obtained. A new subclass of rectangular tensors, which is called rectangular S-tensors, is introduced and it is proved that rectangular S-tensors can be defined by the feasible vectors of the corresponding rectangular tensor complementarity problem.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3897981

DOI: 10.1155/2020/3897981

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