On weakly irreducible nonnegative tensors and interval hull of some classes of tensors

DOI10.1080/03081087.2015.1083527zbMath1342.15022arXiv1409.3003OpenAlexW2950570557MaRDI QIDQ2805653

Abraham Berman, M. Rajesh Kannan, Naomi Shaked-Monderer

Publication date: 12 May 2016

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

Full work available at URL: https://arxiv.org/abs/1409.3003

zbMATH Keywords

spectral radiuspositive definite tensors\(\mathcal M\)-tensors\(P\)-tensorsinterval hull of tensorsweakly irreducible nonnegative tensors

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (10)

Some inequalities for the Fan product of \(M\)-tensors ⋮ Spectral properties of general hypergraphs ⋮ Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors ⋮ The closure property of \(\mathcal{H}\)-tensors under the Hadamard product ⋮ Bound estimations on the eigenvalues for Fan product of \(M\)-tensors ⋮ Some inequalities for the Hadamard product of tensors ⋮ Some inequalities on the minimum H-eigenvalue of the Fan product of \(\mathcal{Z}\)-tensors ⋮ The \(\alpha\)-spectral radius of uniform hypergraphs concerning degrees and domination number ⋮ Some characterizations of \(M\)-tensors via digraphs ⋮ Some properties of strong \(\mathcal{H}\)-tensors and general \(\mathcal{H}\)-tensors

Cites Work

• Strictly nonnegative tensors and nonnegative tensor partition
• Perron-Frobenius theorem for nonnegative tensors
• Perron-Frobenius theorem for nonnegative multilinear forms and extensions
• Properties of some classes of structured tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• On eigenvalue problems of real symmetric tensors
• $M$-Tensors and Some Applications
• A survey on the spectral theory of nonnegative tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II
• Positive Definiteness and Stability of Interval Matrices
• Interval P-Matrices

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