An analogue of the results of Saad and Stewart for harmonic Ritz vectors

DOI10.1016/j.cam.2003.10.020zbMath1057.65015OpenAlexW1975625541MaRDI QIDQ596175

Guizhi Chen, Zhongxiao Jia

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.10.020

zbMATH Keywords

eigenvalueseigenvectorserror boundsHarmonic Rayleigh-Ritz methodharmonic Ritz vectors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (4)

The distance of an eigenvector to a Krylov subspace and the convergence of the Arnoldi method for eigenvalue problems ⋮ The Convergence of Harmonic Ritz Vectors and Harmonic Ritz Values, Revisited ⋮ A refined Arnoldi type method for large scale eigenvalue problems ⋮ A generalization of Saad's bound on harmonic Ritz vectors of Hermitian matrices

Cites Work

• Matrix Algorithms
• A generalization of Saad's theorem on Rayleigh-Ritz approximations
• Unnamed Item

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