Accelerated Landweber iteration in Banach spaces
From MaRDI portal
Publication:3565178
DOI10.1088/0266-5611/26/5/055002zbMath1201.65095OpenAlexW1979455001MaRDI QIDQ3565178
Torsten Hein, Kamil S. Kazimierski
Publication date: 2 June 2010
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/26/5/055002
regularizationinverse problemsnonlinear ill-posed problemsill-posednessinverse problems (undetermined coefficients) for PDE
Inverse problems for PDEs (35R30) 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
Convergence of the gradient method for ill-posed problems ⋮ REGINN-IT method with general convex penalty terms for nonlinear inverse problems ⋮ A novel two-point gradient method for regularization of inverse problems in Banach spaces ⋮ An efficient projection method for nonlinear inverse problems with sparsity constraints ⋮ Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces ⋮ A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces ⋮ A predictor-corrector iterated Tikhonov regularization for linear ill-posed inverse problems ⋮ Preconditioned iterative regularization in Banach spaces ⋮ An accelerated Kaczmarz type method for nonlinear inverse problems in Banach spaces with uniformly convex penalty ⋮ Inexact Newton regularization in Banach spaces based on two-point gradient method with uniformly convex penalty terms ⋮ An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty ⋮ Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms ⋮ An iteration regularization method with general convex penalty for nonlinear inverse problems in Banach spaces ⋮ Regularization of inverse problems by two-point gradient methods in Banach spaces ⋮ Inexact Newton regularization combined with two-point gradient methods for nonlinear ill-posed problems * ⋮ Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space