On Greedy Randomized Augmented Kaczmarz Method for Solving Large Sparse Inconsistent Linear Systems
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Publication:5015300
DOI10.1137/20M1352235zbMath1483.65065MaRDI QIDQ5015300
Publication date: 7 December 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
inconsistencysystem of linear equationsKaczmarz methodconvergence propertyrandomized iterationaugmented linear system
Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Convex programming (90C25) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)
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Cites Work
- Unnamed Item
- Randomized Kaczmarz solver for noisy linear systems
- A randomized Kaczmarz algorithm with exponential convergence
- Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
- On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems
- A new greedy Kaczmarz algorithm for the solution of very large linear systems
- On the Meany inequality with applications to convergence analysis of several row-action iteration methods
- On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems
- Paved with good intentions: analysis of a randomized block Kaczmarz method
- The Mathematics of Computerized Tomography
- Fundamentals of Computerized Tomography
- Randomized Extended Kaczmarz for Solving Least Squares
- The university of Florida sparse matrix collection
- Randomized Methods for Linear Constraints: Convergence Rates and Conditioning
- Convergence Properties of the Randomized Extended Gauss--Seidel and Kaczmarz Methods
- Image reconstruction from a small number of projections
- Row-Action Methods for Huge and Sparse Systems and Their Applications
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems
- Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms
- On greedy randomized coordinate descent methods for solving large linear least‐squares problems