On a regularized Levenberg-Marquardt method for solving nonlinear inverse problems
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Publication:967578
DOI10.1007/s00211-009-0275-xzbMath1201.65087OpenAlexW2047266527MaRDI QIDQ967578
Publication date: 30 April 2010
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-009-0275-x
Hilbert spacesdiscrepancy principleoptimal rate of convergenceFrechet differentiable operatorLevenberg-Marquardt regularized method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution to inverse problems in abstract spaces (65J22)
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Cites Work
- The regularizing Levenberg-Marquardt scheme is of optimal order
- Stable approximate evaluation of unbounded operators
- Iterative regularization methods for nonlinear ill-posed problems
- On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems
- Nonstationary iterated Tikhonov regularization
- On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- On the regularization of nonlinear ill-posed problems via inexact Newton iterations
- On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
- On convergence rates of inexact Newton regularizations
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