The A Priori Tan $\Theta$ Theorem for Eigenvectors

DOI10.1137/06065667XzbMath1157.47012arXivmath/0512545OpenAlexW3104592444MaRDI QIDQ5301201

Alexei V. Selin, Alexander K. Motovilov, Sergio A. Albeverio

Publication date: 29 April 2008

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512545

zbMATH Keywords

perturbation problemperturbation of eigenvectorsspectral subspaces\(\tan\theta\) theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (2)

The a priori \(\tan \Theta\) theorem for spectral subspaces ⋮ Operator Stieltjes integrals with respect to a spectral measure and solutions of some operator equations

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