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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
- Authors: Kolotov I.I.1, Lukyanenko D.V.1, Stepanova I.E.1,2, Yagola A.G.1
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Affiliations:
- Faculty of Physics, Lomonosov Moscow State University
- Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
- Issue: Vol 63, No 8 (2023)
- Pages: 1317-1331
- Section: Partial Differential Equations
- URL: https://ruspoj.com/0044-4669/article/view/664999
- DOI: https://doi.org/10.31857/S0044466923080094
- EDN: https://elibrary.ru/WSNXOD
- ID: 664999
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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.
About the authors
I. I. Kolotov
Faculty of Physics, Lomonosov Moscow State University
Email: tet@ifz.ru
119992, Moscow, Russia
D. V. Lukyanenko
Faculty of Physics, Lomonosov Moscow State University
Email: tet@ifz.ru
119992, Moscow, Russia
I. E. Stepanova
Faculty of Physics, Lomonosov Moscow State University; Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Email: tet@ifz.ru
119992, Moscow, Russia; 123995, Moscow, Russia
A. G. Yagola
Faculty of Physics, Lomonosov Moscow State University
Author for correspondence.
Email: tet@ifz.ru
119992, Moscow, Russia
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