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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 91–94
DOI: https://doi.org/10.31857/S2686954322020205 (Mi danma257) 		 
This article is cited in 1 scientific paper (total in 1 paper)

INFORMATICS

Implicit iterative schemes based on augmented linear systems

A. I. Zhdanov

Samara State Technical University
Citations (1)
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DOI: https://doi.org/10.31857/S2686954322020205
Abstract: A new implicit iterative scheme based on solving a sequence of regularized augmented linear systems is proposed. This approach makes it possible to significantly increase the rate of convergence of the implicit iterative scheme, while keeping the condition number of the problem unchanged at each iteration of the algorithm. The proposed algorithm can be effectively used to construct iterative regularization algorithms for solving ill-conditioned sparse large-scale problems.
Keywords: implicit iterative scheme, regularized augmented linear system, iterative regularizing algorithms based on augmented systems.
Presented: V. A. Soifer
Received: 12.02.2021
Revised: 01.06.2021
Accepted: 24.01.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 131–134
DOI: https://doi.org/10.1134/S106456242202020X
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: A. I. Zhdanov, “Implicit iterative schemes based on augmented linear systems”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 91–94; Dokl. Math., 105:2 (2022), 131–134
Citation in format AMSBIB
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\by A.~I.~Zhdanov
\paper Implicit iterative schemes based on augmented linear systems
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 503
\pages 91--94
\mathnet{http://mi.mathnet.ru/danma257}
\crossref{https://doi.org/10.31857/S2686954322020205}
\elib{https://elibrary.ru/item.asp?id=48506211}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 2
\pages 131--134
\crossref{https://doi.org/10.1134/S106456242202020X}
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