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

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 ma...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2023-08, Vol.63 (8), p.1452-1465
Main Authors: Kolotov, I. I., Lukyanenko, D. V., Stepanova, I. E., Yagola, A. G.
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Geophysics
Inverse problems
Linear algebra
Magnetic measurement
Mathematical analysis
Mathematics
Mathematics and Statistics
Partial Differential Equations
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Summary: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523080092