New criteria for \(\mathcal H\)-tensors and an application

DOI10.1515/MATH-2015-0058zbMath1350.15013OpenAlexW2276489958MaRDI QIDQ317720

Feng Wang, De-shu Sun

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0058

zbMATH Keywords

numerical examplepositive definitenesssymmetric tensorsirreducible\(\mathcal H\)-tensors

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

Two non-parameter iterative algorithms for identifying strong \(\mathcal {H}\)-tensors ⋮ On the iterative criterion for strong \(\mathcal{H}\)-tensors ⋮ An iterative algorithm based on strong \(\mathcal{H} \)-tensors for identifying positive definiteness of irreducible homogeneous polynomial forms

Cites Work

• \(MB\)-tensors and \(MB_0\)-tensors
• Eigenvalues and invariants of tensors
• The degree of the E-characteristic polynomial of an even order tensor
• Criterions for the positive definiteness of real supersymmetric tensors
• Some properties of strong \(\mathcal{H}\)-tensors and general \(\mathcal{H}\)-tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• $M$-Tensors and Some Applications
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Shifted Power Method for Computing Tensor Eigenpairs
• An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form

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