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

Shunjie Bai; Shunjie Bai

doi:10.3934/math.2022339

AIMS Mathematics

2022, Volume 7, Issue 4: 6084-6098. doi: 10.3934/math.2022339

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

Shunjie Bai ^,

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

Received: 12 November 2021 Revised: 28 December 2021 Accepted: 06 January 2022 Published: 17 January 2022
MSC : 15A18, 15A42, 15A69

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.
- partially symmetric tensors,
- M-eigenvalues,
- localization sets,
- M-spectral radius
Citation: Shunjie Bai. A tighter M-eigenvalue localization set for partially symmetric tensors and its an application[J]. AIMS Mathematics, 2022, 7(4): 6084-6098. doi: 10.3934/math.2022339

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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.

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