Some improvements on the Ky Fan theorem for tensors

DOI10.1007/s40314-020-01396-0zbMath1476.15047OpenAlexW3135547231WikidataQ114219336 ScholiaQ114219336MaRDI QIDQ1983903

Mostafa Zangiabadi, Mohsen Tourang

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01396-0

zbMATH Keywords

Ky Fan theoremtensor eigenvalueeigenvalue inclusion set

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Cites Work

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• Note on circular disks containing the eigenvalues of a matrix
• Some bounds for the spectral radius of nonnegative tensors
• Perron-Frobenius theorem for nonnegative tensors
• Eigenvalue bounds of third-order tensors via the minimax eigenvalue of symmetric matrices
• Some results on Brauer-type and Brualdi-type eigenvalue inclusion sets for tensors
• An algorithm for computing the spectral radius of nonnegative tensors
• Eigenvalues of a real supersymmetric tensor
• An improvement of Ky Fan theorem for matrix eigenvalues
• Limits for the characteristic roots of a matrix. II
• An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors
• Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
• New eigenvalue inclusion sets for tensors
• Some Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensors
• Tensor Analysis
• Relationships between Brauer-type eigenvalue inclusion sets and a Brualdi-type eigenvalue inclusion set for tensors

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