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

Xueyong Wang; Gang Wang; Ping Yang; Xueyong Wang; Gang Wang; Ping Yang

doi:10.3934/math.20241459

AIMS Mathematics

2024, Volume 9, Issue 11: 30214-30229. doi: 10.3934/math.20241459

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Research article

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

1.
School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, Gansu, China
2.
School of Management Science, Qufu Normal University, Rizhao 276800, Shandong, China

Received: 27 August 2024 Revised: 16 October 2024 Accepted: 21 October 2024 Published: 24 October 2024
MSC : 15A18, 15A42, 15A69

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.
- tensor eigenvalue complementarity problems,
- Pareto $ Z $-eigenvalue intervals,
- strict copositivity,
- lower and upper bounds
Citation: Xueyong Wang, Gang Wang, Ping Yang. Novel Pareto $ Z $-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications[J]. AIMS Mathematics, 2024, 9(11): 30214-30229. doi: 10.3934/math.20241459

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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.

References

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