An eigenvalue localization set for tensors and its applications

DOI10.1186/S13660-017-1331-1zbMath1361.15024OpenAlexW2593983370WikidataQ37692133 ScholiaQ37692133MaRDI QIDQ517772

Caili Sang, Jianxing Zhao

Publication date: 27 March 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1331-1

zbMATH Keywords

numerical exampleminimum eigenvalueeigenvalue localization setnonnegative tensors\(\mathcal{M}\)-tensors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

Some improved Ky Fan type eigenvalue inclusion sets for tensors ⋮ Some new inclusion sets for eigenvalues of tensors with application ⋮ Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices ⋮ Some bounds of eigenvalues for Hadamard product and Fan product of tensors ⋮ Exclusion sets in eigenvalue localization sets for tensors

Cites Work

• A new \(S\)-type eigenvalue inclusion set for tensors and its applications
• Two new lower bounds for the minimum eigenvalue of \(M\)-tensors
• An \(S\)-type eigenvalue localization set for tensors
• Perron-Frobenius theorem for nonnegative tensors
• A new eigenvalue inclusion set for tensors and its applications
• Inequalities for \(M\)-tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors
• $M$-Tensors and Some Applications
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• New eigenvalue inclusion sets for tensors
• Unnamed Item

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