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

DOI10.1186/s13660-016-1041-0zbMath1333.15002OpenAlexW2784938269WikidataQ59467899 ScholiaQ59467899MaRDI QIDQ265674

Feng Wang, De-shu Sun

Publication date: 4 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1041-0

zbMATH Keywords

positive definitenesssymmetric tensorirreducible\(\mathcal{H}\)-tensornonzero elements chain

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)

Related Items (7)

New methods based \(\mathcal{H}\)-tensors for identifying the positive definiteness of multivariate homogeneous forms ⋮ Two non-parameter iterative algorithms for identifying strong \(\mathcal {H}\)-tensors ⋮ Some criteria for identifying strong -tensors and its applications ⋮ Iterative criteria for identifying strong \(\mathcal{H}\)-tensors ⋮ New iterative criteria for strong \(\mathcal{H}\)-tensors and an application ⋮ An iterative algorithm based on strong \(\mathcal{H} \)-tensors for identifying positive definiteness of irreducible homogeneous polynomial forms ⋮ An \(\mathcal{H}\)-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms

Cites Work

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• \(M\)-tensors and nonsingular \(M\)-tensors
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• Shifted Power Method for Computing Tensor Eigenpairs
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