I. I. Kolotov, D. V. Lukyanenko, I. È. Stepanova, A. V. Shchepetilov, A. G. Yagola, “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”, Zh. Vychisl. Mat. Mat. Fiz., 2023, Volume 63, Number 9,Pages <nobr>1446

This article is cited in 5 papers

General numerical methods

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

I. I. Kolotov^a, D. V. Lukyanenko^a, I. È. Stepanova^ab, A. V. Shchepetilov^a, A. G. Yagola^a

^a Faculty of Physics, Moscow State University, 119992, Moscow, Russia
^b Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences, 123995, Moscow, Russia

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.

Key words: solvability, singular systems, integral representations.

UDC: 519.612

Received: 06.02.2023
Revised: 06.02.2023
Accepted: 29.05.2023

DOI: 10.31857/S0044466923090119