On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1980 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 17, pages 687-706 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Saad, Y.;

doi: 10.1137/0717059

On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods

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Abstract

Theoretical error bounds are established, improving those given by S. Kaniel. Similar inequalities are found for the eigenvectors by using bounds on the acute angle between the exact eigenvectors a...

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, a priori estimate, Krylov subspaces, Lanczos algorithm, Inequalities involving eigenvalues and eigenvectors, rate of convergence

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