Fetching the paper…
Reading the bibliography…
We study the Kaczmarz methods for solving systems of quadratic equations, i.e., the generalized phase retrieval problem.
Angenäherte auflösung von systemen linearer gleichungen
S. Kaczmarz · 1937
Earlier work this paper cites.
Algebraic reconstruction techniques (art) for threedimensional electron microscopy and x-ray photography
R. Gordon, R. Bender, and G. Herman · 1970
Earlier work this paper cites.
A practical algorithm for the determination of the phase from image and diffraction plane pictures
R. W. Gerchberg and W. O. Saxton · 1972
Earlier work this paper cites.
Reconstruction of an object from the modulus of its fourier transform
J. R. Fienup · 1978
Earlier work this paper cites.
Block-iterative methods for consistent and inconsistent linear equations
T. Elfving · 1980
Earlier work this paper cites.
Phase retrieval algorithms: A comparison
J. R. Fienup · 1982
Earlier work this paper cites.
Phase problem in crystallography
R.W. Harrison · 1993
Earlier work this paper cites.
Limit of the smallest eigenvalue of a large-diemensional sample convariance matrix
Z. D. Bai and Y. Q. Yin · 1993
Earlier work this paper cites.
The rate of convergence for the method of alternating projections. ii
F. Deutsch and H. Hundal · 1997
Earlier work this paper cites.
Characterization of the solutions set of inconsistent least-squares problems by an extended Kaczmarz algorithm
C. Popa · 1999
Earlier work this paper cites.
The method of alternating projections and the method of subspace corrections in hilbert space
J. Xu and L. Zikatanov · 2002
Earlier work this paper cites.
Optical wavefront reconstruction: Theory and numerical methods
D. R. Luke, J. V. Burke, and R. G. Lyon · 2002
Earlier work this paper cites.
On the rate of convergence of the alternating projection method in finite dimensional spaces
A. Galántai · 2005
Earlier work this paper cites.
On signal reconstruction without phase
R. Balan, P. Casazza, and D. Edidin · 2006
Cited alongside, same era.
Diffractive imaging for periodic samples: Retrieving one-dimensional concentration profiles across microfluidic channels
O. Bunk, A. Diaz, F. Pfeiffer, C. David, B. Schmitt, and D.K. Satapathy · 2007
Cited alongside, same era.
Extending x-ray crystallography to allow the imaging of noncrystalline materials, cells, and single protein complexes
J. Miao, T. Ishikawa, Q. Shen, and T. Earnesty · 2008
Cited alongside, same era.
A randomized Kaczmarz algorithm with exponential convergence
T. Strohmer and R. Vershynin · 2009
Cited alongside, same era.
Randomized Kaczmarz solver for noisy linear systems
D. Needell · 2010
Cited alongside, same era.
Randomized methods for linear constraints: Convergence rates and conditioning
Phase retrieval via matrix completion
E. J. Candès, Y. Eldar, T. Strohmer, and V. Voroninski · 2013
Later among the works it cites.
PhaseLift: Exact and stable signal recovery from magnitude measurements via convex programming
E. J. Candès, T. Strohmer, and V. Voroninski · 2013
Later among the works it cites.
Solving quadratic equations via PhaseLift when there are about as many equations as unknowns
E. J. Candès and X. Li · 2013
Later among the works it cites.
Phase recovery, MaxCut and complex semidefinite programming
I. Waldspurger, A. d’Aspremont, and S. Mallat · 2013
Later among the works it cites.
Randomized extended Kaczmarz for solving least squares
A. Zouzias and N. M. Freris · 2013
Later among the works it cites.
Two-subspace projection method for coherent overdetermined systems
D. Needell and R. Ward · 2013
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Leventhal and A. S. Lewis · 2010
Cited alongside, same era.
Acceleration of randomized Kaczmarz method via the Johnson-Lindenstrauss lemma
Y. C. Eldar and D. Needell · 2011
Cited alongside, same era.
Introduction to the non-symptotic analysis of random matrices
R. Vershynin · 2011
Cited alongside, same era.
Compressive phase retrieval via generalized approximate message passing
P. Schniter and S. Rangan · 2012
Cited alongside, same era.
Paved with good intentions: Analysis of a randomized block Kaczmarz method
D. Needell and J. A. Tropp · 2012
Cited alongside, same era.
Phase retrieval with random phase illumination
A. Fannjiang and W. Liao · 2012
Cited alongside, same era.
Blind deconvolution using convex programming
A. Ahmed, B. Recht, and J. Romberg · 2012
Cited alongside, same era.
Later among the works it cites.
Phase retrieval using alternating minimization
P. Netrapalli, P. Jain, and S. Sanghavi · 2013
Later among the works it cites.
Phase retrieval for imaging problems
F. Fogel, I. Waldspurger, and A. d’Aspremont · 2013
Later among the works it cites.
Phase retrieval from coded diffraction patterns
E. J. Candès, X. Li, and M. Soltanolkotabi · 2014
Later among the works it cites.
Phase retrieval via Wirtinger flow: Theory and algorithms
E. J. Candès, X. Li, and M. Soltanolkotabi · 2014
Later among the works it cites.
GESPAR: Efficient phase retrieval of sparse signals
Y. Shechtman, A. Beck, and Y. C. Eldar · 2014
Later among the works it cites.
Self-calibration and biconvex compressive sensing
S. Y. Ling and T. Strohmer · 2015
Closest in time.