M-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensors
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Publication:2067739
DOI10.1186/s13660-019-1986-xzbMath1499.15084OpenAlexW2922480252WikidataQ114061363 ScholiaQ114061363MaRDI QIDQ2067739
Hai-Tao Che, Hai-Bin Chen, Y. J. Wang
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-1986-x
homogeneous polynomialspectral propertypower methodM-eigenvalueCauchy tensorM-positive definiteM-positive semi-definite
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)
Related Items (11)
Criteria for the strong ellipticity condition of a partially symmetric tensor ⋮ New M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensors ⋮ High-order sum-of-squares structured tensors: theory and applications ⋮ A relaxed self-adaptive projection algorithm for solving the multiple-sets split equality problem ⋮ Further investigation of positive semi-definiteness of fourth-order Cauchy and Hilbert tensors ⋮ 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 ⋮ A direct method for calculating M-eigenvalues of an elasticity tensor ⋮ Parameterized S-type M-eigenvalue inclusion intervals for fourth-order partially symmetric tensors and its applications ⋮ Upper bounds for eigenvalues of Cauchy-Hankel tensors ⋮ New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications
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