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Research Article | Open Access

Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications

Xueyong Wang1, Gang Wang2( ), Ping Yang2
School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, Gansu, China
School of Management Science, Qufu Normal University, Rizhao 276800, Shandong, China
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Abstract

In this paper, we establish Pareto Z-eigenvalue inclusion intervals of tensor eigenvalue complementarity problems based on the spectral radius of symmetric matrices deduced from the provided tensor. Numerical examples are suggested to demonstrate the effectiveness of the results. As an application we offer adequate criteria for the strict copositivity of symmetric tensors.

Keywords

tensor eigenvalue complementarity problemsPareto Z-eigenvalue intervalsstrict copositivitylower and upper bounds
CLC number: 15A18, 15A42, 15A69

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 30214-30229
DOI: 10.3934/math.20241459

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Cite this article:
Wang X, Wang G, Yang P. Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications. AIMS Mathematics, 2024, 9(11): 30214-30229. https://doi.org/10.3934/math.20241459

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Received: 27 August 2024
Revised: 16 October 2024
Accepted: 21 October 2024
Published: 24 October 2024
©2024 the Author(s), licensee AIMS Press.

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