Large-scale complex eigenvalue problems
type: Item
instance of: scholarly article
title: Large-scale complex eigenvalue problems
zbMATH Open document ID: 0685.65028
DOI: 10.1016/0021-9991(89)90200-3
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The author gives a review about methods for solving eigenvalue problems. At first some results of linear algebra, necessary for solving linear systems of equations and eigenvalue problems, are presented. General methods (QR-, QZ-algorithm) for solving eigenvalue problems are briefly discussed, whereas methods suitable for large-scale problems by preserving the sparseness of the matrices are detailedly described (vector iteration, inverse vector iteration, Lanczos algorithm, Rayleigh quotient iteration, initial-value formulation). Some considerations concerning software and hardware are presented. At last applications in quantum mechanics, hydrodynamics and plasma physics are discussed.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65-02
zbMATH DE Number: 4123158
zbMATH Keywords: large-scale complex eigenvalue problems
zbMATH Keywords: research survey
zbMATH Keywords: QR
zbMATH Keywords: algorithm
zbMATH Keywords: sparse matrix
zbMATH Keywords: QZ-algorithm
zbMATH Keywords: inverse vector iteration
zbMATH Keywords: Lanczos algorithm
zbMATH Keywords: Rayleigh quotient iteration
zbMATH Keywords: initial-value formulation
author: Wolfgang Kerner
reviewed by: Michael Jung
describes a project that uses: EISPACK
describes a project that uses: LINPACK
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90200-3
OpenAlex ID: W2051068712
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