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On numerical methods for solving infinite systems of linear algebraic equations
Matematičeskie zametki SVFU, Tome 29 (2022) no. 2, pp. 101-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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Numerical methods for solving in nite systems of linear algebraic equations are considered. First, the Gauss-Jordan method is formally generalized to in nite systems. It is shown that, on the basis of such an algorithm, it is possible to formally generalize other numerical methods, for example, the method of successive approximations or the iterative Seidel method. Then, using examples of speci c joint in nite systems, the e ciency of these methods was tested. A numerical comparison of these methods is given.
Keywords: infinite systems, Cramer’s determinant, Gaussian systems, quasi-infinite systems, reduction method in the narrow and broad senses.
Mots-clés : Gauss algorithm 
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     title = {On numerical methods for solving infinite systems of linear algebraic equations},
     journal = {Matemati\v{c}eskie zametki SVFU},
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     year = {2022},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_2_a8/}
}
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F. M. Fedorov; O. F. Ivanova; N. N. Pavlov; S. V. Potapova. On numerical methods for solving infinite systems of linear algebraic equations. Matematičeskie zametki SVFU, Tome 29 (2022) no. 2, pp. 101-124. http://geodesic.mathdoc.fr/item/SVFU_2022_29_2_a8/