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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.
2020
2020
Remarks on Kaczmarz Algorithm for Solving Consistent and Inconsistent System of Linear Equations
In this paper we consider the classical Kaczmarz algorithm for solving system of linear equations. Based on the geometric… 
2016
2016
Adaptive Control of Dynamic Load in Blooming Mill with Online Estimation of Process Parameters Based on the Modified Kaczmarz Algorithm
This paper considers approaches of solving actual task of reducing dynamic load of lines in the blooming mill during rolling… 
2014
2014
Iterative photoacoustic reconstruction in heterogeneous media using the Kaczmarz method
The aim of a photoacoustic image reconstruction is to locate acoustic sources that originate from laser irradiation. Many… 
2014
2014
Row-Action Projections for Nonnegative Matrix Factorization
Nonnegative Matrix Factorization (NMF) is more and more frequently used for analyzing large-scale nonnegative data, where 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
A fast randomized Kaczmarz algorithm for sparse solutions of consistent linear systems
The Kaczmarz algorithm is a popular solver for overdetermined linear systems due to its simplicity and speed. In this paper, we… 
Review
2012
Review
2012
Preconditioning the Helmholtz Equation via Row-projections
3D frequency-domain full waveform inversion relies on being able to efficiently solve the 3D Helmholtz equation. Iterative… 
2010
2010
Sunouchi Operator of the Character System of the p-series Field in the Kaczmarz Rearrangement
Let G_p be the p-series field.In this paper we prove the operator of Sunouchi T~x f:=(Σ_(n=1)~∞|S_(p~n)~x f-σ_(p~n)~x f|~2)~(1/2… 
2009
2009
A Modified Kaczmarz Algorithm for Computerized Tomographic Image Reconstruction
A modified version of Kaczmarz algorithm for improving image reconstruction from projections in computerized tomography is… 
1965
1965
ACCELERATION OF THE CONVERGENCE OF THE KACZMARZ METHOD AND ITERATED HOMOGENEOUS TRANSFORMATIONS.
Abstract : The Kaczmarz method is a well known and computationally easily constructed iterative method for solving a system of… 
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