On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations

On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2020, Volume: 14, Number: 3, Pages: 541-554 Pages count : 14 DOI: 10.1134/S1990478920030138

Tags

coefficient identification; convergence; difference equations; inverse iterations; modified Prony method; nonlinear eigenvalue problem; variational identification method

Authors

Lomov A.A. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract: Under consideration is the variational problem of identifying the coefficients of differenceequations which the modified Prony method of extracting the sinusoids and exponentials fromobservations reduces to. We study the convergence of computational algorithms that are based oninverse iterations in a variable metric. © 2020, Pleiades Publishing, Ltd.

Lomov A.A.
On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations
Journal of Applied and Industrial Mathematics. 2020. V.14. N3. P.541-554. DOI: 10.1134/S1990478920030138 Scopus OpenAlex

Ломов А.А.
О сходимости вычислительных алгоритмов в вариационной задаче идентификации коэффициентов разностных уравнений
Сибирский журнал индустриальной математики. 2020. Т.23. №3. С.77-90. DOI: 10.33048/SIBJIM.2020.23.307 OpenAlex

Scopus:	2-s2.0-85094637090
OpenAlex:	W3095655189

DB	Citing
Scopus	2
OpenAlex	3