Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems

被引：0
作者：
Zeng, Qingyu [1 ]
He, Jun [1 ]
Liu, Yanmin [1 ]
机构：
[1] Zunyi Normal Coll, Sch Math, Zunyi 563006, Guizhou, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
关键词：
VALUE INCLUSION SETS; SINGULAR-VALUE; ALGORITHM;
D O I：
10.1155/2020/3897981
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：10
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