Error bounds for the Arnoldi method: a set of extreme eigenpairs
type: Item
instance of: scholarly article
title: Error bounds for the Arnoldi method: a set of extreme eigenpairs
zbMATH Open document ID: 0932.65046
DOI: 10.1016/S0024-3795(99)00122-6
author: Leonid Knizhnerman
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: Exponential estimates are proved for the error of computing a finite set of extreme eigenvalues and corresponding eigenvectors of a bounded operator by means of the Arnoldi method. An analogous estimate for computation of an operator function is given. Numerical examples are presented to demonstrate the applicability and performance of the method.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1371428
zbMATH Keywords: error bounds
zbMATH Keywords: exponential convergence
zbMATH Keywords: numerical examples
zbMATH Keywords: extreme eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: Arnoldi method
MaRDI profile type: Publication
full work available at URL: s0024-3795(99)00122-6
OpenAlex ID: W2088200963
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description: scientific article; zbMATH DE number 1371428