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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2006 Volume 46, Number 7, Pages 1265–1272 (Mi zvmmf445)

This article is cited in 14 papers

Computation of eigenvalues of perturbed discrete semibounded operators

S. I. Kadchenko, I. I. Kinzina

Magnitogorsk State University, Magnitogorsk, Chelyabinsk oblast, 455043, Russia

Abstract: To compute the eigenvalues of a perturbed discrete semibounded operator, systems are obtained for the first time in which the number of equations is equal to the multiplicity of the corresponding eigenvalues of the unperturbed operator.

Key words: separable Hilbert space, discrete operator, eigenvalues and eigenfunctions of operator, multiplicity of eigenvalue, perturbative corrections.

UDC: 519.624.2

Received: 06.04.2005
Revised: 08.12.2005


 English version:
Computational Mathematics and Mathematical Physics, 2006, 46:7, 1200–1206

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