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

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 es...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 4; pp. 6084 - 6098
Main Author Bai, Shunjie
Format Journal Article
LanguageEnglish
Published AIMS Press 2022
Subjects
localization sets
m-eigenvalues
m-spectral radius
partially symmetric tensors
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022339