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• W2951434367 abstract "Recently, many structured tensors are defined and their properties are discussed in the literature. In this paper, we introduce a new class of structured tensors, called exceptionally regular tensor, which is relevant to the tensor complementarity problem. We show that this class of tensors is a wide class of tensors which includes many important structured tensors as its special cases. By constructing two examples, we demonstrate that an exceptionally regular tensor can be, but not always, an $R$-tensor. We also show that within the class of the semi-positive tensors, the class of exceptionally regular tensors coincides with the class of $R$-tensors. In addition, we consider the tensor complementarity problem with an exceptionally regular tensor or an $R$-tensor or a $P_0+R_0$-tensor, and show that the solution sets of these classes of tensor complementarity problems are nonempty and compact." @default.
• W2951434367 created "2019-06-27" @default.
• W2951434367 creator A5044014447 @default.
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• W2951434367 date "2015-08-26" @default.
• W2951434367 modified "2023-10-15" @default.
• W2951434367 title "Exceptionally Regular Tensors and Tensor Complementarity Problems" @default.
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• W2951434367 doi "https://doi.org/10.48550/arxiv.1508.06422" @default.
• W2951434367 hasPublicationYear "2015" @default.
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