Davidson's method and preconditioning for generalized eigenvalue problems
type: Item
instance of: scholarly article
title: Davidson's method and preconditioning for generalized eigenvalue problems
zbMATH Open document ID: 0702.65038
DOI: 10.1016/0021-9991(90)90124-J
author: Ronald B. Morgan
published in: Journal of Computational Physics
publication date: 1990-01-01T00:00:00Z
review text: The generalized eigenvalue problem (1) \(Az=\lambda Sz\) is solved, where A is symmetric and S is symmetric and positive definite. Davidson's method and a generalized Davidson's method with different preconditioners are considered. These methods for problem (1) in quantum chemistry are discussed and compared.
reviewed by: L.Boubelíková
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 4151725
zbMATH Keywords: generalized eigenvalue problem
zbMATH Keywords: Davidson's method
zbMATH Keywords: preconditioners
zbMATH Keywords: quantum chemistry
MaRDI profile type: Publication
cites work: Super-matrix methods
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cites work: Generalizations of Davidson's method for computing eigenvalues of large nonsymmetric matrices
full work available at URL: 0021-9991(90)90124-j
OpenAlex ID: W1993598022
description: scientific article; zbMATH DE number 4151725