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Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems

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  • Qingyu Zeng
  • Jun He
  • Yanmin Liu

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.

Suggested Citation

  • Qingyu Zeng & Jun He & Yanmin Liu, 2020. "Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:3897981
    DOI: 10.1155/2020/3897981
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