A new derivation of a formula by Kato

DOI10.1016/j.laa.2011.07.034zbMath1230.15005OpenAlexW2067616576MaRDI QIDQ649571

Brendan P. W. Ames, Hristo S. Sendov

Publication date: 2 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.07.034

zbMATH Keywords

perturbation theoryeigenvaluessymmetric matrixdirectional derivative

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)

Related Items

Bernstein-von Mises theorems for functionals of the covariance matrix

Cites Work

• The higher-order derivatives of spectral functions
• Asymptotic expansions of the ordered spectrum of symmetric matrices
• Sensitivity analysis of all eigenvalues of a symmetric matrix
• Matrix Analysis
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