A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations
From MaRDI portal
Publication:5854072
DOI10.1088/1361-6420/abc233OpenAlexW3135715529MaRDI QIDQ5854072
Antonio Leitão, Rafaela Filippozzi, Romana Boiger, Joel C. Rabelo
Publication date: 15 March 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/abc233
Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for inverse problems for integral equations (65R32)
Related Items (3)
Range-relaxed strategy applied to the Levenberg–Marquardt method with uniformly convex penalization term in Banach spaces ⋮ A range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt-Kaczmarz method for solving systems of non-linear ill-posed equations: application to EIT-CEM with real data ⋮ On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations
- Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems
- On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov
- Iterative regularization methods for nonlinear ill-posed problems
- On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
- Nonstationary iterated Tikhonov regularization
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications
- Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis
- The Mathematics of Computerized Tomography
- Mathematical Methods in Image Reconstruction
- Identification of dipole sources in an elliptic equation from boundary measurements: application to the inverse EEG problem
- Computed myography: three-dimensional reconstruction of motor functions from surface EMG data
- On multiple level-set regularization methods for inverse problems
- Image deblurring with Poisson data: from cells to galaxies
- A class of iterative processes for solving degenerate systems of linear algebraic equations
- Iterative methods for the reconstruction of an inverse potential problem
- Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg–Marquardt method
- On regularization methods of EM-Kaczmarz type
- Approximate solution of systems of linear equations†
- Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
- Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators
- Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method
- Inverse problems for partial differential equations
- An introduction to the mathematical theory of inverse problems
This page was built for publication: A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations