Abstract
Conditions for the unique solvability of systems of linear algebraic equations to which many inverse problems of gravitational and magnetic exploration are reduced are considered. The mathematical statements of inverse problems take into account the sphericity of the Earth.
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ACKNOWLEDGMENTS
We are grateful to Prof. A. S. Leonov for useful remarks and interest in this work.
Funding
This work was supported by the Russian Science Foundation, project no. 23-41-00002.
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Translated by A. Klimontovich
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Kolotov, I.I., Lukyanenko, D.V., Stepanova, I.E. et al. On the Uniqueness of Solution to Systems of Linear Algebraic Equations to Which the Inverse Problems of Gravimetry and Magnetometry Are Reduced: A Regional Variant. Comput. Math. and Math. Phys. 63, 1588–1599 (2023). https://doi.org/10.1134/S0965542523090117
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DOI: https://doi.org/10.1134/S0965542523090117