On convergence of regularized modified Newton's method for nonlinear ill-posed problems
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Publication:2874437
DOI10.1515/jiip.2010.004zbMath1279.65069OpenAlexW1994642569MaRDI QIDQ2874437
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2010.004
Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (16)
Finite dimensional realization of a Tikhonov gradient type-method under weak conditions ⋮ Modified minimal error method for nonlinear ill-posed problems ⋮ A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations ⋮ Newton-type iteration for Tikhonov regularization of nonlinear ill-posed problems ⋮ A derivative-free iterative method for nonlinear ill-posed equations with monotone operators ⋮ Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method ⋮ Modified Iterative Runge-Kutta-Type Methods for Nonlinear Ill-Posed Problems ⋮ Error estimates for the simplified iteratively regularized Gauss-Newton method under a general source condition ⋮ An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method ⋮ Unnamed Item ⋮ Modified Newton-type processes generating Fejér approximations of regularized solutions to nonlinear equations ⋮ A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations ⋮ Inverse free iterative methods for nonlinear ill-posed operator equations ⋮ Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations ⋮ Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems ⋮ A simplified Gauss-Newton iterative scheme with an a posteriori parameter choice rule for solving nonlinear ill-posed problems
Cites Work
- On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
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- Well posedness and convergence of some regularisation methods for non-linear ill posed problems
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- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- On autoconvolution and regularization
- On the method of Lavrentiev regularization for nonlinear ill-posed problems
- On convergence rates for the iteratively regularized Gauss-newton method
- Geometry of linear ill-posed problems in variable Hilbert scales
- On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems
- ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
- Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems
- Error estimates of some Newton-type methods for solving nonlinear inverse problems in Hilbert scales
- A note on logarithmic convergence rates for nonlinear Tikhonov regularization
- On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
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