New methods based on ℋ-tensors for identifying positive definiteness of homogeneous polynomial forms

DOI10.1080/03081087.2019.1586823zbMath1456.15024OpenAlexW2922472469WikidataQ114100597 ScholiaQ114100597MaRDI QIDQ5145080

De-shu Sun

Publication date: 19 January 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1586823

zbMATH Keywords

positive definitenessirreduciblehomogeneous polynomial\(\mathcal{H}\)-tensors

Mathematics Subject Classification ID

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

Cites Work

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• Programmable criteria for strong \(\mathcal {H}\)-tensors
• Criteria for strong \(H\)-tensors
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• Nonsingular \(H\)-tensor and its criteria
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• $M$-Tensors and Some Applications
• Necessary and sufficient conditions for copositive tensors
• New practical criteria for ℋ-tensors and its application
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• Output feedback stabilization and related problems-solution via decision methods
• General procedure for multivariable polynomial positivity test with control applications
• An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form

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