An Elsner-like perturbation theorem for generalized eigenvalues

DOI10.1016/j.laa.2004.05.006zbMath1067.15016OpenAlexW2020655579MaRDI QIDQ1886518

G. W. Stewart

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.05.006

zbMATH Keywords

perturbation theoryeigenvaluesgeneralized eigenvalue problemElsner's theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (5)

Optimal bounds for the spectral variation of two regular matrix pairs ⋮ On upper bounds for the spectral variation of two regular matrix pairs ⋮ On condition numbers of polynomial eigenvalue problems ⋮ A new inequality for the Hausdorff distance between spectra of two matrices ⋮ A refined bound for the spectral variations of matrices

Cites Work

• Unnamed Item
• An optimal bound for the spectral variation of two matrices
• An analysis of the Rayleigh--Ritz method for approximating eigenspaces
• Matrix Algorithms

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