Bounds for the M-spectral radius of a fourth-order partially symmetric tensor

DOI10.1186/s13660-018-1610-5zbMath1381.15007OpenAlexW2783725171WikidataQ47555823 ScholiaQ47555823MaRDI QIDQ680870

Suhua Li, Yao-Tang Li

Publication date: 29 January 2018

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1610-5

zbMATH Keywords

numerical exampleboundsquantum entanglementtensorsnonlinear elastic materialsM-eigenvaluesM-spectral radiuspartially symmetric

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Multilinear algebra, tensor calculus (15A69) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (8)

Criteria for the strong ellipticity condition of a partially symmetric tensor ⋮ Conditions of strong ellipticity and calculations of M-eigenvalues for a partially symmetric tensor ⋮ Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor ⋮ Bound estimations of bi-block \(M\)-eigenvalues for bi-block symmetric tensors ⋮ An \(S\)-type inclusion set for \(C\)-eigenvalues of a piezoelectric-type tensor ⋮ Programmable sufficient conditions for the strong ellipticity of partially symmetric tensors ⋮ Bi-block positive semidefiniteness of bi-block symmetric tensors ⋮ Complete \(q\)-th moment convergence and its statistical applications

Cites Work

• A tensor product matrix approximation problem in quantum physics
• Sufficient conditions for strong ellipticity for a class of anisotropic materials
• On the strong ellipticity of the anisotropic linearly elastic materials
• D-eigenvalues of diffusion kurtosis tensors
• Z-eigenvalue methods for a global polynomial optimization problem
• Conditions for strong ellipticity and M-eigenvalues
• Eigenvalues of a real supersymmetric tensor
• On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
• A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
• Classical deterministic complexity of Edmonds' Problem and quantum entanglement
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors

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