Complementarity Problem With Nekrasov $Z$ tensor

R. Deb; A. K. Das

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arXiv · 2212.13444

Complementarity Problem With Nekrasov $Z$ tensor

R. Deb·A. K. Das

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Abstract

It is worth knowing that a particular tensor class belongs to $P$-tensor which ensures the compactness to solve tensor complementarity problem (TCP). In this study, we propose a new class of tensor, Nekrasov $Z$ tensor, in the context of the tensor complementarity problem. We show that the class of $P$-tensor contains the class of even ordered Nekrasov $Z$ tensors with positive diagonal elements. In this context, we propose a procedure by which a Nekrasov $Z$ tensor can be transformed into a tensor which is diagonally dominant. Keywords: Diagonally dominant tensor, Nekrasov tensors, Nonsingular $H$ tensor, Nekrasov $Z$ tensor, $P$-tensors, Tensor complementarity problem

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R. Deb, A. K. Das. 2022-12-27. Complementarity Problem With Nekrasov $Z$ tensor. https://arxiv.org/abs/2212.13444

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