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This article is cited in 2 scientific papers (total in 2 papers)
Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method
B. V. Loginova, N. A. Sidorovb a Mathematical Institute, Academy of Sciences of UzSSR
b Irkutsk State University
Abstract:
M. K. Gavurin proposed (RZh Mat. 4B383, 1962) an iteration method based on the theory of perturbations for finding the eigenvalues and eigenvectors of linear operators. The method was developed later by F. Kunert (RZh Mat. 5B815, 1968). In the present note, using results of V. A. Trenogin (RZh Mat. 1B706, 1970), this method is extended to problems of the form $(A-\lambda B)\varphi=0$.
Received: 05.05.1975
Citation:
B. V. Loginov, N. A. Sidorov, “Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method”, Mat. Zametki, 19:1 (1976), 105–108; Math. Notes, 19:1 (1976), 62–64
Linking options:
https://www.mathnet.ru/eng/mzm7728 https://www.mathnet.ru/eng/mzm/v19/i1/p105
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