Relaxed Regularization for Linear Inverse Problems
From MaRDI portal
Publication:4997379
DOI10.1137/20M1348091MaRDI QIDQ4997379
Tristan van Leeuwen, Nick Luiken
Publication date: 29 June 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.14987
Ill-posedness and regularization problems in numerical linear algebra (65F22) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Iterative numerical methods for linear systems (65F10)
Uses Software
Cites Work
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- An iterative method for Tikhonov regularization with a general linear regularization operator
- A Golub-Kahan-type reduction method for matrix pairs
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Tikhonov regularization of large linear problems
- Deconvolution and regularization with Toeplitz matrices
- Relative-error approximate versions of Douglas-Rachford splitting and special cases of the ADMM
- Approximate ADMM algorithms derived from Lagrangian splitting
- Regularization, GSVD and truncated GSVD
- A weighted pseudoinverse, generalized singular values, and constrained least squares problems
- Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms
- On Krylov projection methods and Tikhonov regularization
- Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization
- AIR tools II: algebraic iterative reconstruction methods, improved implementation
- IR tools: a MATLAB package of iterative regularization methods and large-scale test problems
- The Mathematics of Computerized Tomography
- Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
- Fundamentals of Computerized Tomography
- Variational Properties of Value Functions
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Probing the Pareto Frontier for Basis Pursuit Solutions
- Optical tomography: forward and inverse problems
- Mathematical problems in radar inverse scattering
- Synthetic aperture inversion
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Discrete Inverse Problems
- Oblique projections and standard‐form transformations for discrete inverse problems
- A Projection‐Based Approach to General‐Form Tikhonov Regularization
- An \(L\)-ribbon for large underdetermined linear discrete ill-posed problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
