Resolvent bounds and spectral variation

DOI10.1016/0024-3795(91)90323-OzbMath0717.15016OpenAlexW2165363839MaRDI QIDQ753903

Dennis Phillips

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90323-o

zbMATH Keywords

Chebyshev polynomialsCayley-Hamilton theoremspectrumoperator normspectral variationresolvent bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• On the variation of the spectra of matrices
• An optimal bound for the spectral variation of two matrices
• On the rate of change of spectra of operators
• Variation of Grassmann powers and spectra
• On the rate of change of spectra of operators. II
• Variation of tensor powers and spectrat
• On smallest isolated Gerschgorin disks for eigenvalues