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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

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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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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119992, Moscow, Russia

    I. I. Kolotov, D. V. Lukyanenko, I. E. Stepanova, A. V. Shchepetilov & A. G. Yagola

  2. Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, 123995, Moscow, Russia

    I. E. Stepanova

Authors
  1. I. I. Kolotov
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  2. D. V. Lukyanenko
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  3. I. E. Stepanova
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  4. A. V. Shchepetilov
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  5. A. G. Yagola
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Corresponding author

Correspondence to I. E. Stepanova.

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The authors declare that they have no conflicts of interest.

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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

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