Bounds of the minimum \(H^+\)-singular value and testing the copositiveness for rectangular tensors

DOI10.3934/JIMO.2022227OpenAlexW4312631338MaRDI QIDQ2698580

Yanyan Li

Publication date: 24 April 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2022227

zbMATH Keywords

copositive rectangular tensorlower and upper bound\(H\)-singular inclusion set\(H^+\)-singular valueessentially nonpositive rectangular tensor

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

\(l^{p, q/2}\)-singular values of a real partially symmetric rectangular tensor

Cites Work

• Symmetric nonnegative tensors and copositive tensors
• \(Z\)-eigenvalue inclusion theorems for tensors
• Singular values of nonnegative rectangular tensors
• On the strong ellipticity of the anisotropic linearly elastic materials
• Singular values of a real rectangular tensor
• Conditions for strong ellipticity of anisotropic elastic materials
• Conditions for strong ellipticity and M-eigenvalues
• Robust extreme learning machine in the presence of outliers by iterative reweighted algorithm
• Partially symmetric nonnegative rectangular tensors and copositive rectangular tensors
• Necessary and sufficient conditions for copositive tensors
• Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors
• Two new singular value inclusion sets for rectangular tensors

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