Geodesic
Algorithms invenire asymptotic formulas eigenvalues discreta semi-terminus operators
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 2, pp. 104-110 Cet article a éte moissonné depuis la source Math-Net.Ru

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Methods for finding asymptotic formulas for eigenvalues of discrete semibounded operators given on compact sets are individual in each case. Therefore, it becomes necessary to develop algorithms that allow one to find asymptotic formulas for the eigenvalues of any discrete semi-bounded operators given on compact sets. This will greatly simplify their finding and allow you to write programs to obtain asymptotic formulas. These algorithms will help to find asymptotic formulas for eigenvalues of vector operators given on finite connected graphs. In the article, based on the methods developed earlier, an algorithm is created that allows finding asymptotic formulas for eigenvalues with any ordinal number for discrete semi-bounded operators given on compact sets. Examples are given of comparing asymptotic formulas found by the developed method and known formulas previously obtained by other authors, which are in good agreement with each other.
Keywords: asymptotic formulas, eigenvalues and eigenfunctions of linear operators, discrete semibounded operators. 
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S. I. Kadchenko; L. S. Ryazanova. Algorithms invenire asymptotic formulas eigenvalues discreta semi-terminus operators. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 2, pp. 104-110. http://geodesic.mathdoc.fr/item/VYURU_2023_16_2_a9/

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