A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces
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Publication:6085044
DOI10.1515/jiip-2021-0010OpenAlexW4361274157MaRDI QIDQ6085044
Publication date: 2 December 2023
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2021-0010
nonlinear inverse problemsparameter identification problemshomotopy perturbation iterationsequential Bregman projections
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Cites Work
- Levenberg-Marquardt method in Banach spaces with general convex regularization terms
- Regularization methods in Banach spaces.
- Sequential subspace optimization for nonlinear inverse problems
- Convergence rates for regularization with sparsity constraints
- Convergence analysis of the homotopy perturbation method for solving nonlinear ill-posed operator equations
- Regularization properties of Tikhonov regularization with sparsity constraints
- Modern homotopy methods in optimization
- Iterative regularization methods for nonlinear ill-posed problems
- Homotopy perturbation technique
- An iteration regularization method with general convex penalty for nonlinear inverse problems in Banach spaces
- On the iteratively regularized Gauss-Newton method in Banach spaces with applications to parameter identification problems
- Coordinate and subspace optimization methods for linear least squares with non-quadratic regularization
- Nonstationary iterated Tikhonov regularization in Banach spaces with uniformly convex penalty terms
- An iterative regularization method for nonlinear problems based on Bregman projections
- Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals
- The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations
- A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise
- Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions
- A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
- Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
- Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods
- Fast regularizing sequential subspace optimization in Banach spaces
- Elastic-net regularization: error estimates and active set methods
- A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Sparsity regularization for parameter identification problems
- The two-point gradient methods for nonlinear inverse problems based on Bregman projections
- An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems
- Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms
- Generalized homotopy approach to multiobjective optimization.
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