ВЫЧИСЛЕНИЕ ЗНАЧЕНИЙ СОБСТВЕННЫХ ФУНКЦИЙ ДИСКРЕТНЫХ ПОЛУОГРАНИЧЕННЫХ СНИЗУ ОПЕРАТОРОВ МЕТОДОМ РЕГУЛЯРИЗОВАННЫХ СЛЕДОВ

Кадченко С.И.; S.I. Kadchenko; Какушкин С.Н.; S.N. Kakushkin

doi:10.18287/2541-7525-2012-18-6-13-21

THE CALCULATING OF MEANINGS OF EIGEN FUNCTIONS OF DISCRETE SEMIBOUNDED FROM BELOW OPERATORS VIA METHOD OF REGULARIZED TRACES

Authors: Kadchenko S.¹, Kakushkin S.¹
Affiliations:
1. Magnitogorsk State University
Issue: Vol 18, No 6 (2012)
Pages: 13-21
Section: Articles
URL: https://journals.ssau.ru/est/article/view/4762
DOI: https://doi.org/10.18287/2541-7525-2012-18-6-13-21
ID: 4762

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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.