An improvement of Ky Fan theorem for matrix eigenvalues

DOI10.1016/j.camwa.2004.07.019zbMath1083.15026OpenAlexW2025991918MaRDI QIDQ2485509

Ting-Zhu Huang, Hou-Biao Li

Publication date: 5 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.07.019

zbMATH Keywords

nonnegative matrixirreducible matrixeigenvalue inclusionGershgorin circlesinclusion regionBrauer TheoremBrualdi TheoremKy Fan Theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Some improved Ky Fan type eigenvalue inclusion sets for tensors ⋮ Some improvements on the Ky Fan theorem for tensors ⋮ Inclusion sets for singular values

Cites Work

• Note on circular disks containing the eigenvalues of a matrix
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Gershgorin domains for partitioned matrices
• On Geršgorin-type problems and ovals of cassini
• An improvement on Ky Fan's theorem of matrix eigenvalues
• Limits for the characteristic roots of a matrix. II
• Matrices eigenvalues, and directed graphs
• Geršgorin-type eigenvalue inclusion theorems and their sharpness
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