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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Pages 1317–1331
DOI: https://doi.org/10.31857/S0044466923080094 (Mi zvmmf11602) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Partial Differential Equations

On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case

I. I. Kolotova, D. V. Lukyanenkoa, I. É. Stepanovaab, A. G. Yagolaa

a Faculty of Physics, Lomonosov Moscow State University, 119992, Moscow, Russia
b Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, 123995, Moscow, Russia
Citations (6)
DOI: https://doi.org/10.31857/S0044466923080094
Abstract: The paper considers issues of unique solvability of systems of linear algebraic equations to which many inverse problems of geophysics are reduced as a result of discretization. Examples of degenerate and nondegenerate systems of different dimensions arising from the interpretation of gravity and magnetometric data are given.
Key words: degenerate systems of linear algebraic equations, integral representations, unique solvability.
Funding agency Grant number
Russian Science Foundation 23-41-00002
This work was supported by the Russian Science Foundation, project no. 23-41-00002.
Received: 06.02.2023
Revised: 19.03.2023
Accepted: 28.04.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1452–1465
DOI: https://doi.org/10.1134/S0965542523080092
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: I. I. Kolotov, D. V. Lukyanenko, I. É. Stepanova, A. G. Yagola, “On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1317–1331; Comput. Math. Math. Phys., 63:8 (2023), 1452–1465
Citation in format AMSBIB
\Bibitem{KolLukSte23}
\by I.~I.~Kolotov, D.~V.~Lukyanenko, I.~\'E.~Stepanova, A.~G.~Yagola
\paper On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1317--1331
\mathnet{http://mi.mathnet.ru/zvmmf11602}
\crossref{https://doi.org/10.31857/S0044466923080094}
\elib{https://elibrary.ru/item.asp?id=54270660}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1452--1465
\crossref{https://doi.org/10.1134/S0965542523080092}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i8/p1317
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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