On the change in the spectral properties of a matrix under perturbations of sufficiently low rank

DOI10.1023/B:FAIA.0000024871.00388.4czbMath1092.15005OpenAlexW1969662777MaRDI QIDQ2486692

Sergey V. Savchenko

Publication date: 5 August 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:faia.0000024871.00388.4c

zbMATH Keywords

eigenvalueroot spaceJordan formLaurent seriesJordan chainsJordan blockBinet-Cauchy formulaJordan basisconditioning of matricesgeneric rank \(r\) perturbationscalar resolvent matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Conditioning of matrices (15A12)

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