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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012 Issue 6(97), Pages 13–21 (Mi vsgu25)

This article is cited in 4 papers

Mathematics

The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces

S. I. Kadchenko, S. N. Kakushkin

The Dept. of Applied Mathematics and Calculating Technics, Magnitogorsk State University, Magnitogorsk, 455000, Russian Federation

Abstract: The numerical method of finding of meanings of eigenfunctions of discrete semibounded from below operator is developed. Estimates of residuals of sums of series of Reley–Schrodinger of the “weighed” corrections of the perturbation theory are gained. Approbation of the method on the example of Laplace operator with perturbed function of complex variable is produced.

Keywords: eigen values, eigen functions, “weighted”, corrections of perturbation theory, discrete operators.

UDC: 519.642.8

Received: 19.01.2012
Accepted: 19.01.2012



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