Eigenvalue perturbation and generalized Krylov subspace method

DOI10.1016/S0168-9274(98)00002-6zbMath0931.65039OpenAlexW1994393544MaRDI QIDQ1294463

Gene H. Golub, Tong Zhang, Kincho H. Law

Publication date: 14 February 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00002-6

zbMATH Keywords

perturbation theoryKrylov subspace methodmatrix eigenvalueperturbation algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)

Related Items

Eigenmode computation of cavities with perturbed geometry using matrix perturbation methods applied on generalized eigenvalue problems

Uses Software

• JDQZ

Cites Work

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• Fifty years of eigenvalue perturbation theory
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• On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Some Modified Matrix Eigenvalue Problems