An efficient projection method for nonlinear inverse problems with sparsity constraints
DOI10.3934/ipi.2016017zbMath1348.90584OpenAlexW2509637259MaRDI QIDQ326410
Deren Han, David Z. W. Wang, Zehui Jia, Yong-Zhong Song
Publication date: 12 October 2016
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2016017
Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global convergence of an inexact operator splitting method for monotone variational inequalities
- Accelerated projected gradient method for linear inverse problems with sparsity constraints
- A generalized conditional gradient method and its connection to an iterative shrinkage method
- Multi-frame representations in linear inverse problems with mixed multi-constraints
- Iteratively solving linear inverse problems under general convex constraints
- A proximal point algorithm revisit on the alternating direction method of multipliers
- A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
- Probing the Pareto Frontier for Basis Pursuit Solutions
- Accelerated Landweber iteration in Banach spaces
- Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints
- Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems
- A self-adaptive projection method for solving the multiple-sets split feasibility problem
- Nonlinear and Nonideal Sampling: Theory and Methods
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A simple proof for some important properties of the projection mapping
- Accelerated projected steepest descent method for nonlinear inverse problems with sparsity constraints
- Domain decomposition methods for linear inverse problems with sparsity constraints
- Tikhonov replacement functionals for iteratively solving nonlinear operator equations
- Modified Goldstein--Levitin--Polyak projection method for asymmetric strongly monotone variational inequalities
This page was built for publication: An efficient projection method for nonlinear inverse problems with sparsity constraints
