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Research Article | Open Access

A tighter M-eigenvalue localization set for partially symmetric tensors and its an application

College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou, 550025, China
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Abstract

In this paper, a new M-eigenvalue inclusion set for a partially symmetric tensor is provided. It is proved that the new set is tighter than some existing M-eigenvalue inclusion sets. Based on the obtained results, an upper bound of the largest M-eigenvalue is given and a modified WQZ-algorithm is established which guarantees the generated converges to the largest M-eigenvalue of the tensor faster.

Keywords

partially symmetric tensorsM-eigenvalueslocalization setsM-spectral radius
CLC number: 15A18, 15A42, 15A69

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 6084-6098
DOI: 10.3934/math.2022339

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Cite this article:
Bai S. A tighter M-eigenvalue localization set for partially symmetric tensors and its an application. AIMS Mathematics, 2022, 7(4): 6084-6098. https://doi.org/10.3934/math.2022339

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Received: 12 November 2021
Revised: 28 December 2021
Accepted: 06 January 2022
Published: 15 April 2022
©2022 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)