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

DOI10.1134/S0005117912030034zbMath1307.47073OpenAlexW2061353149MaRDI QIDQ2261736

Vladimir V. Vasin

Publication date: 13 March 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117912030034

Mathematics Subject Classification ID

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)

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Cites Work

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• Operators and iterative processes of Fejér type. Theory and applications.
• The Levenberg-Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem
• Iterative processes of gradient type with applications to gravimetry and magnetometry inverse problems
• Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems

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