English

On sparse solution of tensor complementarity problem

Optimization and Control 2023-04-25 v1

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 ZZ-tensor. We propose a pp norm regularized minimization model when p(0,1)p\in (0,1) and show that it can approximate sparse solution applying the regularization of parameter. Keywords: Tensor complementarity problem, sparse solution, lpl_p regularized minimization, ZZ-tensor.

Cite

@article{arxiv.2304.11986,
  title  = {On sparse solution of tensor complementarity problem},
  author = {R. Deb and A. K. Das},
  journal= {arXiv preprint arXiv:2304.11986},
  year   = {2023}
}
R2 v1 2026-06-28T10:15:37.569Z