Spectral Rayleigh–Schrödinger Series Revisited

DOI10.1080/01630560802279215zbMath1153.15011OpenAlexW1969954478MaRDI QIDQ3532765

Alain Largillier, Mario Ahues

Publication date: 28 October 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802279215

zbMATH Keywords

convergenceHermitian matriceseigenvalueseigenvectorsperturbation boundsQR algorithmHessenberg matricesspectral subspacesRayleigh-Schrödinger series

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Canonical forms, reductions, classification (15A21)

Cites Work

• Spectral condition numbers for defective elements of linear operators in hilbert spaces
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