Convergence rates for Kaczmarz-type algorithms

Kaczmarz S., Angenäherte Auflösung von Systemen linearer Gleichingen

1937

Earlier work this paper cites.

Gordon R., Bender R., Herman G.T., Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography

1970

Earlier work this paper cites.

Tanabe K., Projection Method for Solving a Singular System of Linear Equations and its Applications

1971

Earlier work this paper cites.

Censor, Y., Row-action methods for huge and sparse systems and their applications

1981

Earlier work this paper cites.

Ansorge R., Connections between the Cimmino-method and the Kaczmarz-method for the solution of singular and regular systems of equations

1984

Earlier work this paper cites.

Kaczmarz S., Approximate solution of systems of linear equations

1993

Earlier work this paper cites.

Popa C., Least-Squares Solution of Overdetermined Inconsistent Linear Systems using Kaczmarz’s Relaxation

1995

Earlier work this paper cites.

Censor, Y., Zenios, S., Parallel Optimization: Theory, Algorithms and Applications

1997

Cited alongside, same era.

Combettes P., Hilbertian convex feasibility problem: Convergence of projection methods

1997

Cited alongside, same era.

Popa C., Extensions of block-projections methods with relaxation parameters to inconsistent and rank-defficient least-squares problems

1998

Cited alongside, same era.

Censor Y., Herman G. T., Jiang M., A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin

2009

Cited alongside, same era.

Strohmer, T., Vershynin, R., A randomized Kaczmarz algorithm with exponential convergence

2009

Cited alongside, same era.

Strohmer, T., Vershynin, R., Comments on the randomized Kaczmarz method

Gautschi W., Numerical analysis. Second edition

2012

Later among the works it cites.

Popa C. - Projection algorithms - classical results and developments. Applications to image reconstruction

2012

Later among the works it cites.

Zouzias, A., Freris, N., Randomized Extended Kaczmarz for Solving Least Squares

2013

Later among the works it cites.

Cegielski A., Censor Y., Projection methods: An annotated bibliography of books and reviews

2015

Later among the works it cites.

Petra S., Popa C., Single projection Kaczmarz extended algorithms

2016

Later among the works it cites.

Pomparau I., Popa C., A note on remotest set control selection procedure in Kaczmarz iteration

2016

Later among the works it cites.