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Research Article | Open Access

New error bounds for the tensor complementarity problem

Xin Liu, Guang-Xin Huang( )
College of Mathematics and Physics, Geomathematics Key Laboratory of Sichuan, Chengdu University of Technology, Chengdu 610059, China
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Abstract

This paper discusses new error bounds for the tensor complementarity problem using a P-tensor. A new lower error bound and a global error bound are presented for such a problem. It is proved that the norm of the exact solution of the tensor complementarity problem with a P-tensor has a lower bound and an upper bound. When the order of a tensor is 2, all the results for the tensor complementarity problem obtained reduce to those for the linear complementarity problem.

Keywords

tensor complementarity problemP-tensorerror boundlinear complementarity problemP-matrix

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2196-2204
DOI: 10.3934/era.2022111

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Cite this article:
Liu X, Huang G-X. New error bounds for the tensor complementarity problem. Electronic Research Archive, 2022, 30(6): 2196-2204. https://doi.org/10.3934/era.2022111

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Received: 31 December 2021
Revised: 02 April 2022
Accepted: 04 April 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)