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Complementarity Problem With Nekrasov $Z$ tensor

R. DebA. K. Das
Dec 2022
摘要
It is worth knowing that a particular tensor class belongs to $P$-tensorwhich ensures the compactness to solve tensor complementarity problem (TCP). Inthis study, we propose a new class of tensor, Nekrasov $Z$ tensor, in thecontext of the tensor complementarity problem. We show that the class of$P$-tensor contains the class of even ordered Nekrasov $Z$ tensors withpositive diagonal elements. In this context, we propose a procedure by which aNekrasov $Z$ tensor can be transformed into a tensor which is diagonallydominant. Keywords: Diagonally dominant tensor, Nekrasov tensors, Nonsingular $H$tensor, Nekrasov $Z$ tensor, $P$-tensors, Tensor complementarity problem
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