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.
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ACKNOWLEDGMENTS
We are grateful to Professor A.S. Leonov for useful recommendations and attention to this work.
Funding
This work was supported by the Russian Science Foundation, project no. 23-41-00002.
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Translated by E. Chernokozhin
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Kolotov, I.I., Lukyanenko, D.V., Stepanova, I.E. et al. 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. Comput. Math. and Math. Phys. 63, 1452–1465 (2023). https://doi.org/10.1134/S0965542523080092
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DOI: https://doi.org/10.1134/S0965542523080092