The Levenberg-Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem

DOI10.1134/S0081543813020144zbMath1285.47074OpenAlexW2127815552MaRDI QIDQ2447008

G. Ya. Perestoronina, Vladimir V. Vasin

Publication date: 23 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813020144

zbMATH Keywords

Levenberg-Marquardt methoda priori informationinverse gravimetry problemmodified process

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items

The Levenberg-Marquardt method for approximation of solutions of irregular operator equations

Cites Work

• Iterative regularization methods for nonlinear ill-posed problems
• Ill-posed problems with a priori information
• Iterative processes of gradient type with applications to gravimetry and magnetometry inverse problems
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Unnamed Item