Range-relaxed strategy applied to the Levenberg–Marquardt method with uniformly convex penalization term in Banach spaces
DOI10.1088/1361-6420/ac7e68zbMath1495.49011OpenAlexW4285014130MaRDI QIDQ5097564
Eduardo Hafemann, Fábio Margotti
Publication date: 25 August 2022
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/ac7e68
total variationBanach spacesconvex optimizationLevenberg-Marquardt methodnonlinear inverse problemselectrical impedance tomographyBregman distances
Convex programming (90C25) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Levenberg-Marquardt method in Banach spaces with general convex regularization terms
- Regularization methods in Banach spaces.
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- Newton regularizations for impedance tomography: convergence by local injectivity
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- On Nonstationary Iterated Tikhonov Methods for Ill-Posed Equations in Banach Spaces
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces
- Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg–Marquardt method
- Tikhonov-like methods with inexact minimization for solving linear ill-posed problems
- A method for the solution of certain non-linear problems in least squares
- A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations
- Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method
This page was built for publication: Range-relaxed strategy applied to the Levenberg–Marquardt method with uniformly convex penalization term in Banach spaces