Fetching the paper…
Reading the bibliography…
The Kaczmarz method is an iterative method for solving overcomplete linear systems of equations Ax=b.
Angenäherte auflösung von systemen linearer gleichungen
S. Kaczmarz · 1937
Earlier work this paper cites.
Two algorithms related to the method of steepest descent
T. M. Whitney and R. K. Meany · 1967
Earlier work this paper cites.
Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography
R. Gordon, R. Bender, and G. T. Herman · 1970
Earlier work this paper cites.
Projection method for solving a singular system of linear equations and its applications
K. Tanabe · 1971
Earlier work this paper cites.
The angles between the null spaces of X-rays
C. Hamaker and D. C. Solmon · 1978
Earlier work this paper cites.
Block-iterative methods for consistent and inconsistent linear equations
T. Elfving · 1980
Earlier work this paper cites.
Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
P. P. B. Eggermont, G. T. Herman, and A. Lent · 1981
Earlier work this paper cites.
Strong underrelaxation in kaczmarz’s method for inconsistent systems
Y. Censor, P. P. B. Eggermont, and D. Gordon · 1983
Earlier work this paper cites.
Rate of convergence of the method of alternating projections
F. Deutsch · 1985
Earlier work this paper cites.
The mathematics of computerized tomography
F. Natterer · 1986
Earlier work this paper cites.
Invertibility of “large” submatrices with applications to the geometry of Banach spaces and harmonic analysis
J. Bourgain and L. Tzafriri · 1987
Earlier work this paper cites.
Applications of convex projection theory to image recovery in tomography and related areas
K. M. Sezan and H. Stark · 1987
Earlier work this paper cites.
On the acceleration of kaczmarz’s method for inconsistent linear systems
M. Hanke and W. Niethammer · 1990
Earlier work this paper cites.
On a problem of Kadison and Singer
J. Bourgain and L. Tzafriri · 1991
Earlier work this paper cites.
New variants of the POCS method using affine subspaces of finite codimension, with applications to irregular sampling
C. Cenker, H. G. Feichtinger, M. Mayer, H. Steier, and T. Strohmer · 1992
Earlier work this paper cites.
Algebraic reconstruction techniques can be made computationally efficient
G. Herman and L. Meyer · 1993
Earlier work this paper cites.
Some remarks on coordinate restriction of operators to coordinate subspaces
B. Kashin and L. Tzafriri · 1994
Earlier work this paper cites.
Numerical Methods for Least Squares Problems
Å. Björck · 1996
Earlier work this paper cites.
The rate of convergence for the method of alternating projections, ii
F. Deutsch and H. Hundal · 1997
Cited alongside, same era.
Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems
C. Popa · 1998
Cited alongside, same era.
Block-projections algorithms with blocks containing mutually orthogonal rows and columns
C. Popa · 1999
Cited alongside, same era.
A fast Kaczmarz-Kovarik algorithm for consistent least-squares problems
C. Popa · 2001
Cited alongside, same era.
John’s decompositions: selecting a large part
R. Vershynin · 2001
Cited alongside, same era.
The method of alternating projections and the method of subspace corrections in Hilbert space
J. Xu and L. Zikatanov · 2002
Column subset selection, matrix factorization, and eigenvalue optimization
J. Tropp · 2009
Later among the works it cites.
Randomized methods for linear constraints: convergence rates and conditioning
D. Leventhal and A. S. Lewis · 2010
Later among the works it cites.
Randomized Kaczmarz solver for noisy linear systems
D. Needell · 2010
Later among the works it cites.
Spectral sparsification and restricted invertibility
N. Srivastava · 2010
Later among the works it cites.
Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma
Y. C. Eldar and D. Needell · 2011
Later among the works it cites.
Sparse quadratic forms and their geometric applications
A. Naor · 2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
A Kaczmarz-Kovarik algorithm for symmetric ill-conditioned matrices
C. Popa · 2004
Cited alongside, same era.
On the rate of convergence of the alternating projection method in finite dimensional spaces
A. Galántai · 2005
Cited alongside, same era.
A randomized solver for linear systems with exponential convergence
T. Strohmer and R. Vershynin · 2006
Cited alongside, same era.
Random sets of isomorphism of linear operators on Hilbert space
R. Vershynin · 2006
Cited alongside, same era.
Regularization tools version 4.0 for matlab 7.3
P. C. Hansen · 2007
Cited alongside, same era.
Applied iterative methods
C. L. Byrne · 2008
Cited alongside, same era.
P. Richtárik and M. Taká v · 2011
Later among the works it cites.
Invertibility of random submatrices via tail decoupling and a matrix Chernoff inequality
S. Chrétien and S. Darses · 2012
Later among the works it cites.
Almost sure convergence of the Kaczmarz algorithm with random measurements
X. Chen and A. Powell · 2012
Later among the works it cites.
On Kaczmarzs projection iteration as a direct solver for linear least squares problems
C. Popa, T. Preclik, H. Köstler, and U. Rüde · 2012
Later among the works it cites.
An elementary proof of the restricted invertibility theorem
D. A. Spielman and N. Srivastava · 2012
Later among the works it cites.
A note on column subset selection
P. Youssef · 2012
Later among the works it cites.
Restricted invertibility and the Banach–Mazur distance to the cube
P. Youssef · 2012
Later among the works it cites.
Randomized extended Kaczmarz for solving least-squares
A. Zouzias and N. M. Freris · 2012
Later among the works it cites.
Paved with good intentions: Analysis of a randomized block kaczmarz method
D. Needell and J. A. Tropp · 2013
Later among the works it cites.
Two-subspace projection method for coherent overdetermined linear systems
D. Needell and R. Ward · 2013
Later among the works it cites.
An asynchronous parallel randomized kaczmarz algorithm
J. Liu, S. J. Wright, and S. Sridhar · 2014
Closest in time.