The pseudoperturbation method in generalized eigenvalue problems
type: Item
instance of: scholarly article
title: The pseudoperturbation method in generalized eigenvalue problems
zbMATH Open document ID: 1156.47025
DOI: 10.1134/S1064562408020099
author: Olga V. Makeeva
author: Boris V. Loginov
published in: Doklady Mathematics
publication date: 2008-10-27T00:00:00Z
review text: In this paper, various applications of the pseudoperturbation method started by [\textit{M. K. Gavurin}, Zh. Vychisl. Mat. Mat. Fiz. 1, 757--770 (1961; Zbl 1155.47302)] are considered. These applications are as follows: iteration processes calculating eigenvalues and generalized Jordan chains; the one-dimensional displacements problem; the one-dimensional problem with two displacements; Schmidt's spectral problems.
reviewed by: Bilender P. Allahverdiev
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 5357826
zbMATH Keywords: pseudoperturbation method
zbMATH Keywords: generalized eigenvalue problems
zbMATH Keywords: generalized Jordan chains
MaRDI profile type: Publication
cites work: Generalized Jordan structure in the problem of the stability of bifurcating solutions
cites work: Q5182723
full work available at URL: s1064562408020099
OpenAlex ID: W2018032497
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description: scientific article; zbMATH DE number 5357826