Solving some inverse problems of gravimetry and magnetometry using an algorithm that improves matrix conditioning

DOI10.1134/s0965542524701197MaRDI QIDQ6654903

Anatoly G. Yagola, Alexander S. Leonov, Dmitry V. Lukyanenko

Publication date: 20 December 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

inverse problemuniqueness of solutionsgravity and magnetic explorationminimum pseudoinverse matrix method

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

• The truncated SVD as a method for regularization
• The minimum pseudo-inverse matrix method: Theory and numerical implementation
• Joint inversion: a structural approach
• On the S-approximation of the Earth's gravity field: regional version
• 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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