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Kaczmarz method

Known as: Kaczmar's algorithm 
The Kaczmarz method or Kaczmarz's algorithm is an iterative algorithm for solving linear equation systems . It was first discovered by the Polish… 
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Related topics

Related topics

11 relations
Algebraic Reconstruction TechniqueCondition numberConjugate gradient methodGabor Herman

Broader (2)

Medical imagingNumerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Randomized Kaczmarz algorithm for massive MIMO systems with channel estimation and spatial correlation
To exploit the benefits of massive multiple‐input multiple‐output (M‐MIMO) technology in scenarios where base stations (BSs) need… 
Highly Cited
2016
Highly Cited
2016
Reshaped Wirtinger Flow for Solving Quadratic System of Equations
We study the problem of recovering a vector $\bx\in \bbR^n$ from its magnitude measurements $y_i=|\langle \ba_i, \bx\rangle|, i=1… 
Highly Cited
2016
Highly Cited
2016
A Sampling Kaczmarz-Motzkin Algorithm for Linear Feasibility
We combine two iterative algorithms for solving large-scale systems of linear inequalities, the relaxation method of Agmon… 
2016
2016
Fourier series for singular measures and the Kaczmarz algorithm
Using the Kaczmarz algorithm, we obtain a Fourier series formulation for functions in the L2 space of singular measures on the… 
2014
2014
Block Kaczmarz Method with Inequalities
The randomized Kaczmarz method is an iterative algorithm that solves systems of linear equations. Recently, the randomized method… 
Highly Cited
2014
Highly Cited
2014
A sparse Kaczmarz solver and a linearized Bregman method for online compressed sensing
An algorithmic framework to compute sparse or minimal-TV solutions of linear systems is proposed. The framework includes both the… 
2013
2013
A relation between algebraic and transform-based reconstruction technique in computed tomography
Abstract. In this contribution a coherent relation between the algebraic and the transform-based reconstruction technique for… 
2013
2013
Stochastic gradient descent and the randomized Kaczmarz algorithm
Highly Cited
2010
Highly Cited
2010
Acceleration of randomized Kaczmarz method via the Johnson–Lindenstrauss Lemma
The Kaczmarz method is an algorithm for finding the solution to an overdetermined consistent system of linear equations Ax = b by… 
Highly Cited
2006
Highly Cited
2006
Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems
We introduce a class of stabilizing Newton--Kaczmarz methods for nonlinear ill-posed problems and analyze their convergence and… 
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