Two new eigenvalue localization sets for tensors and theirs applications

• Autorzy: Jianxing Zhao , Caili Sang
• Języki publikacji: EN

Abstrakty

EN

A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50). As an application, a weaker checkable sufficient condition for the positive (semi-)definiteness of an even-order real symmetric tensor is obtained. Meanwhile, an S-type E-eigenvalue localization set for tensors is given and proved to be tighter than that presented by Wang et al. (Discrete Cont. Dyn.-B, 2017, 22(1), 187-198). As an application, an S-type upper bound for the Z-spectral radius of weakly symmetric nonnegative tensors is obtained. Finally, numerical examples are given to verify the theoretical results.

Słowa kluczowe

EN

Nonnegative tensors; Tensor eigenvalue; Localization set; Positive definite; Spectral radius

Kategorie tematyczne

• 15A42: Inequalities involving eigenvalues and eigenvectors
• 15A18: Eigenvalues, singular values, and eigenvectors
• 15A69: Multilinear algebra, tensor products

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1267-1276

Daty

wydano

2017-01-01

otrzymano

2017-01-27

zaakceptowano

2017-08-29

online

2017-10-09

Twórcy

autor

Jianxing Zhao

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autor

Caili Sang

• , , ,

Identyfikatory

DOI

10.1515/math-2017-0106