Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces


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We discuss basic theoretical principles underlying new numerical methods of calculation of eigenvalues and eigenfunctions of discrete operators semi-bounded from below. We present algorithms of finding spectral characteristics by methods of regularized traces and examples related to certain spectral Sturm–Liouville problems.

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S. Kadchenko

G. I. Nosov Magnitogorsk State Technical University; Institute of Natural Sciences of the South-Ural State University

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Email: kadchenko@masu.ru
俄罗斯联邦, Magnitogorsk; Chelyabinsk

S. Kakushkin

G. I. Nosov Magnitogorsk State Technical University

Email: kadchenko@masu.ru
俄罗斯联邦, Magnitogorsk

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