Abstract
Unique solvability of systems of linear algebraic equations is studied to which many inverse problems of geophysics are reduced as a result of discretization after applying the method of integral equations or integral representations. Examples of singular and nonsingular systems of various dimensions that arise when processing magnetometric and gravimetric data from experimental observations are discussed. Conclusions are drawn about methods for constructing an optimal network of experimental observation points.
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ACKNOWLEDGMENTS
We are grateful to A.S. Leonov for useful remarks and interest in this work.
Funding
This work was supported and carried out within the state assignment at the Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences.
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Translated by A. Klimontovich
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Stepanova, I.E., Lukyanenko, D.V., Kolotov, I.I. et al. On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry. Comput. Math. and Math. Phys. 64, 381–391 (2024). https://doi.org/10.1134/S0965542524030151
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DOI: https://doi.org/10.1134/S0965542524030151