On sparse solution of tensor complementarity problem

R. Deb; A. K. Das

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arXiv · 2304.11986

On sparse solution of tensor complementarity problem

R. Deb·A. K. Das

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Abstract

In this article we consider the sparse solutions of the tensor complementarity problem (TCP) which are the solutions of the smallest cardinality. We establish a connection between the least element of the feasible solution set of TCP and sparse solution for $Z$-tensor. We propose a $p$ norm regularized minimization model when $p\in (0,1)$ and show that it can approximate sparse solution applying the regularization of parameter. Keywords: Tensor complementarity problem, sparse solution, $l_p$ regularized minimization, $Z$-tensor.

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R. Deb, A. K. Das. 2023-04-24. On sparse solution of tensor complementarity problem. https://arxiv.org/abs/2304.11986

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