Lower and upper bounds for H-eigenvalues of even order real symmetric tensors

DOI10.1080/03081087.2016.1242112zbMath1501.15012arXiv1507.04575OpenAlexW2963797395MaRDI QIDQ4975117

M. Rajesh Kannan, Hongwei Jin, Min-Ru Bai

Publication date: 3 August 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04575

zbMATH Keywords

eigenvaluestensorsinclusion setBrauer-type eigenvalues

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

Two new eigenvalue localization sets for tensors and theirs applications ⋮ An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors

Cites Work

• Double \(B\)-tensors and quasi-double \(B\)-tensors
• Discriminants and nonnegative polynomials
• An even order symmetric \(B\) tensor is positive definite
• Criterions for the positive definiteness of real supersymmetric tensors
• A general product of tensors with applications
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• $M$-Tensors and Some Applications
• New eigenvalue inclusion sets for tensors

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