Multilevel preconditioning and adaptive sparse solution of inverse problems
DOI10.1090/S0025-5718-2011-02507-XzbMath1239.65037OpenAlexW1998964243MaRDI QIDQ3117217
Massimo Fornasier, Stephan Dahlke, Thorsten Raasch
Publication date: 17 February 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02507-x
convergenceregularizationinverse problemsnumerical experimentsHilbert spacesquasi-Banach spacebounded linear operatorefficient numerical solutionadaptive sparse solutioniterative soft-shrinkage algorithm
Numerical optimization and variational techniques (65K10) Numerical methods for wavelets (65T60) Numerical solutions to equations with linear operators (65J10) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems
- Linear convergence of iterative soft-thresholding
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- Wavelets and curvelets for image deconvolution: a combined approach
- Adaptive iterative thresholding algorithms for magnetoencephalography (MEG)
- Adaptive frame methods for elliptic operator equations
- Multilevel preconditioning
- Adaptive wavelet methods. II: Beyond the elliptic case
- Least angle regression. (With discussion)
- Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
- An optimal adaptive wavelet method without coarsening of the iterands
- Sparse regularization with l q penalty term
- An EM algorithm for wavelet-based image restoration
- Decoding by Linear Programming
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- A compressive Landweber iteration for solving ill-posed inverse problems
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- Sparse Reconstruction by Separable Approximation
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Adaptive frame methods for elliptic operator equations: the steepest descent approach
- Signal Recovery by Proximal Forward-Backward Splitting
This page was built for publication: Multilevel preconditioning and adaptive sparse solution of inverse problems