## Censor, Yair

Compute Distance To:
 Author ID: censor.yair Published as: Censor, Yair; Censor, Y. External Links: MGP · Wikidata · GND
 Documents Indexed: 122 Publications since 1970, including 1 Book 5 Contributions as Editor · 1 Further Contribution Co-Authors: 87 Co-Authors with 111 Joint Publications 1,490 Co-Co-Authors
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### Co-Authors

 17 single-authored 17 Herman, Gabor T. 15 Reich, Simeon 11 Elfving, Tommy 10 Gibali, Aviv 8 Zenios, Stavros Andrea 7 Butnariu, Dan 6 Jiang, Ming 5 Davidi, Ran 5 Lent, Arnold 5 Segal, Alexander 4 Cegielski, Andrzej 4 de Pierro, Alvaro Rodolfo 4 Schulte, Reinhard W. 4 Zaslavski, Alexander Yakovlevich 3 Aharoni, Ron 3 Altschuler, Martin D. 3 Byrne, Charles L. 3 Iusem, Alfredo Noel 2 Berman, Abraham S. 2 Bregman, Lev M. 2 Galvin, James M. 2 Gordon, Dan 2 Gurfil, Pini 2 Heaton, Howard 2 Helou, Elias Salomão 2 Levy, Eliahu 2 Lewitt, Robert M. 2 Mansour, Rafiq 2 Powlis, William D. 2 Tetruashvili, Luba 2 Xiao, Ying 2 Zaknoon, Maroun 1 Aggarwal, Jake K. 1 Aleyner, Arkady 1 Aragón Artacho, Francisco Javier 1 Ben-Israel, Adi 1 Bortfeld, Thomas 1 Carmi, Avishy Y. 1 Chajakis, Emmanuel D. 1 Chan, Michael T. 1 Chen, Tai-Been 1 Chern, I-Liang 1 Cohen, Nir 1 Combettes, Patrick L. 1 Davis, Larry S. 1 Diday, Edwin 1 Eggermont, Paul P. B. 1 Forssén, Per-Erik 1 Fu, King-Sun 1 Garduño, Edgar 1 Geneser, Sarah E. 1 Gholami, Mohammad Reza 1 Gonzalez, Rafael C. 1 Gordon, Rachel 1 Granlund, Gösta H. 1 Hadar, Ethan 1 Jiang, Zilin 1 Jin, Wenma 1 Johansson, Björn 1 Kanal, Laveen N. 1 Kashyap, Rangasami L. 1 Kopf, Nirit 1 Kutscher, Tuvia 1 Lenzen, Frank 1 Levitan, Emanuel 1 Louis, Alfred Karl 1 Lu, Henry Horng-Shing 1 Martin, Worthy N. 1 Matej, Samuel 1 Mérõ, László 1 Michalski, Ryszard S. 1 Michalsky, Douglas L. 1 Motova, Avi 1 Narayan, T. K. 1 Nikazad, Touraj 1 Nisenbaum, Ariel 1 Pajoohesh, Homeira 1 Pantelimon, Ioana 1 Popa, Constantin Gh. 1 Preston, Kendall jun. 1 Reem, Daniel 1 Roach, John W. 1 Rosenfeld, Azriel 1 Ryan, T. W. 1 Sabach, Shoham 1 Schneider, Hans 1 Schnörr, Christoph 1 Schubert, Keith Evan 1 Schultze, Blake 1 Segman, Joseph 1 Shamir, Joseph 1 Srihari, Sargur N. 1 Stricker, Josef 1 Ström, Erik G. 1 Thomason, Michael G. 1 Tom, Eli 1 Toriwaki, J. I. 1 Tuy, Heang K. 1 Udupa, K. Jayaram 1 Vámos, Tibor ...and 7 more Co-Authors
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### Serials

 7 Linear Algebra and its Applications 6 Inverse Problems 6 Journal of Optimization Theory and Applications 5 Numerical Algorithms 5 Computational Optimization and Applications 4 Journal of Computational and Applied Mathematics 4 Mathematical Programming. Series A. Series B 4 SIAM Journal on Optimization 4 Optimization Methods & Software 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Optimization 3 Applied Numerical Mathematics 3 Optimization 3 Journal of Convex Analysis 3 Journal of Nonlinear and Convex Analysis 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Annals of Operations Research 2 International Transactions in Operational Research 2 Set-Valued and Variational Analysis 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Journal of the London Mathematical Society. Second Series 1 Mathematical Programming 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Advances in Applied Mathematics 1 Journal of Information & Optimization Sciences 1 Journal of Computational Mathematics 1 Parallel Computing 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 IEEE Transactions on Signal Processing 1 Journal of Global Optimization 1 International Journal of Computer Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 The Journal of Fourier Analysis and Applications 1 Parallel Algorithms and Applications 1 Communications in Applied Analysis 1 Abstract and Applied Analysis 1 International Journal of Pure and Applied Mathematics 1 Inverse Problems in Science and Engineering 1 Contemporary Mathematics 1 Studies in Computational Mathematics 1 Pure and Applied Functional Analysis 1 Numerical Mathematics and Scientific Computation 1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 1 Fixed Point Theory and Algorithms for Sciences and Engineering
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### Fields

 79 Operations research, mathematical programming (90-XX) 68 Numerical analysis (65-XX) 19 Operator theory (47-XX) 17 Biology and other natural sciences (92-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 4 Integral transforms, operational calculus (44-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Sequences, series, summability (40-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 4,796 times in 2,194 Documents Cited by Year
A multiprojection algorithm using Bregman projections in a product space. Zbl 0828.65065
Censor, Yair; Elfving, Tommy
1994
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
2005
The subgradient extragradient method for solving variational inequalities in Hilbert space. Zbl 1229.58018
Censor, Y.; Gibali, A.; Reich, S.
2011
Algorithms for the split variational inequality problem. Zbl 1239.65041
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
The split common fixed point problem for directed operators. Zbl 1189.65111
Censor, Yair; Segal, Alexander
2009
An iterative row-action method for interval convex programming. Zbl 0431.49042
Censor, Y.; Lent, A.
1981
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Parallel optimization. Theory, algorithms, and applications. Zbl 0945.90064
Censor, Yair; Zenios, Stavros A.
1997
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization. Zbl 0883.47063
Censor, Y.; Reich, S.
1996
Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Zbl 1260.65056
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Row-action methods for huge and sparse systems and their applications. Zbl 0469.65037
Censor, Yair
1981
Perturbed projections and subgradient projections for the multiple-sets split feasibility problem. Zbl 1253.90211
Censor, Yair; Motova, Avi; Segal, Alexander
2007
Proximal minimization algorithm with $$D$$-functions. Zbl 0794.90058
Censor, Y.; Zenios, S. A.
1992
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
2012
Block-iterative projection methods for parallel computation of solutions to convex feasibility problems. Zbl 0679.65046
Aharoni, Ron; Censor, Yair
1989
Parallel application of block-iterative methods in medical imaging and radiation therapy. Zbl 0658.90099
Censor, Yair
1988
Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems. Zbl 0972.68189
Censor, Y.; Gordon, D.; Gordon, R.
2001
An interior point method with Bregman functions for the variational inequality problem with paramonotone operators. Zbl 0919.90123
Censor, Yair; Iusem, Alfredo N.; Zenios, Stavros A.
1998
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
2012
Perturbation resilience and superiorization of iterative algorithms. Zbl 1193.65019
Censor, Y.; Davidi, R.; Herman, G. T.
2010
Censor, Yair; Lent, Arnold
1982
Strong underrelaxation in Kaczmarz’s method for inconsistent systems. Zbl 0489.65023
Censor, Yair; Eggermont, Paul P. B.; Gordon, Dan
1983
Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem. Zbl 1028.90034
Censor, Yair; Elfving, Tommy
2002
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
Extensions of Hildreth’s row-action method for quadratic programming. Zbl 0444.49025
Lent, Arnold; Censor, Yair
1980
On the use of Cimmino’s simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning. Zbl 0653.65049
Censor, Yair; Altschuler, Martin D.; Powlis, William D.
1988
Iterative averaging of entropic projections for solving stochastic convex feasibility problems. Zbl 0880.90106
Butnariu, Dan; Censor, Yair; Reich, Simeon
1997
Best approximation to common fixed points of a semigroup of nonexpansive operators. Zbl 1071.41031
2005
Projection methods: an annotated bibliography of books and reviews. Zbl 1328.65001
Censor, Yair; Cegielski, Andrzej
2015
Projected subgradient minimization versus superiorization. Zbl 1298.90104
Censor, Yair; Davidi, Ran; Herman, Gabor T.; Schulte, Reinhard W.; Tetruashvili, Luba
2014
Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections. Zbl 1191.94013
Davidi, R.; Herman, G. T.; Censor, Y.
2009
Convergence and perturbation resilience of dynamic string-averaging projection methods. Zbl 1285.90079
Censor, Yair; Zaslavski, Alexander J.
2013
On the behavior of a block-iterative projection method for solving convex feasibility problems. Zbl 0708.90064
Butnariu, Dan; Censor, Yair
1990
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback–Leibler distance minimization. Zbl 1012.90035
Byrne, Charles; Censor, Yair
2001
Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods. Zbl 1322.90063
Censor, Yair; Zaslavski, Alexander J.
2015
New methods for linear inequalities. Zbl 0479.65039
Censor, Yair; Elfving, Tommy
1982
Convergence of string-averaging projection schemes for inconsistent convex feasibility problems. Zbl 1065.65074
Censor, Yair; Tom, Eli
2003
A von Neumann alternating method for finding common solutions to variational inequalities. Zbl 1263.47077
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
On some optimization techniques in image reconstruction from projections. Zbl 0655.65140
Censor, Yair; Herman, Gabor T.
1987
On linear infeasibility arising in intensity-modulated radiation therapy inverse planning. Zbl 1130.92030
Censor, Yair; Ben-Israel, Adi; Xiao, Ying; Galvin, James M.
2008
Optimization of “log x” entropy over linear equality constraints. Zbl 0631.90050
Censor, Yair; Lent, Arnold
1987
On the string averaging method for sparse common fixed-point problems. Zbl 1226.47070
Censor, Yair; Segal, Alexander
2009
A computational solution of the inverse problem in radiation-therapy treatment planning. Zbl 0637.65060
Censor, Yair; Altschuler, Martin D.; Powlis, William D.
1988
Pareto optimality in multiobjective problems. Zbl 0346.90055
Censor, Yair
1978
Weak and strong superiorization: between feasibility-seeking and minimization. Zbl 1349.90675
Censor, Yair
2015
On the behavior of subgradient projections methods for convex feasibility problems in Euclidean spaces. Zbl 1161.49033
Butnariu, Dan; Censor, Yair; Gurfil, Pini; Hadar, Ethan
2008
Algorithms for the quasiconvex feasibility problem. Zbl 1080.65047
Censor, Yair; Segal, Alexander
2006
A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin. Zbl 1177.68252
Censor, Yair; Herman, Gabor T.; Jiang, Ming
2009
The Dykstra algorithm with Bregman projections. Zbl 0897.90155
Censor, Y.; Reich, S.
1998
On block-iterative entropy maximization. Zbl 0631.90087
Censor, Yair; Segman, Joseph
1987
Massively parallel row-action algorithms for some nonlinear transportation problems. Zbl 0754.90057
Zenios, Stavros A.; Censor, Yair
1991
Sparse string-averaging and split common fixed points. Zbl 1229.47107
Censor, Yair; Segal, Alexander
2010
Algorithms and convergence results of projection methods for inconsistent feasibility problems: a review. Zbl 1474.65181
Censor, Yair; Zaknoon, Maroun
2018
Bounded perturbation resilience of projected scaled gradient methods. Zbl 1339.90262
Jin, Wenma; Censor, Yair; Jiang, Ming
2016
Opial-type theorems and the common fixed point problem. Zbl 1245.47019
Cegielski, Andrzej; Censor, Yair
2011
Dykstra’s algorithm as the nonlinear extension of Bregman’s optimization method. Zbl 0960.90067
Bregman, Lev M.; Censor, Yair; Reich, Simeon
1999
An interior points algorithm for the convex feasibility problem. Zbl 0489.52005
Aharoni, Ron; Berman, Abraham; Censor, Yair
1983
Optimization of Burg’s entropy over linear constraints. Zbl 0722.65032
Censor, Yair; De Pierro, Alvaro R.; Iusem, Alfredo N.
1991
Inherently parallel algorithms in feasibility and optimization and their applications. Research workshop, Haifa, Israel, March 13–16, 2000. Zbl 0971.00058
2001
Computational acceleration of projection algorithms for the linear best approximation problem. Zbl 1100.65050
Censor, Yair
2006
Feasibility-seeking and superiorization algorithms applied to inverse treatment planning in radiation therapy. Zbl 1326.65067
Davidi, Ran; Censor, Yair; Schulte, Reinhard W.; Geneser, Sarah; Ying, Lei
2015
The least-intensity feasible solution for aperture-based inverse planning in radiation therapy. Zbl 1046.90112
Xiao, Y.; Michalski, D.; Galvin, J. M.; Censor, Y.
2003
Finite convergence of a subgradient projections method with expanding controls. Zbl 1254.90162
Censor, Yair; Chen, Wei; Pajoohesh, Homeira
2011
An automatic relaxation method for solving interval linear inequalities. Zbl 0568.65022
Censor, Yair
1985
Finding the projection of a point onto the intersection of convex sets via projections onto half-spaces. Zbl 1045.90045
Bregman, Lev M.; Censor, Yair; Reich, Simeon; Zepkowitz-Malachi, Yael
2003
Projections onto super-half-spaces for monotone variational inequality problems in finite-dimensional space. Zbl 1194.49014
Censor, Yair; Gibali, Aviv
2008
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
Block-iterative algorithms with underrelaxed Bregman projections. Zbl 1055.90059
Censor, Yair; Herman, Gabor T.
2002
Extrapolation and local acceleration of an iterative process for common fixed point problems. Zbl 1251.65081
Cegielski, Andrzej; Censor, Yair
2012
Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces. Zbl 0814.65053
Butnariu, Dan; Censor, Yair
1994
String-averaging projected subgradient methods for constrained minimization. Zbl 1286.65072
Censor, Yair; Zaslavski, Alexander J.
2014
Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods. Zbl 1327.90229
Censor, Yair; Reem, Daniel
2015
Iterative algorithms with seminorm-induced oblique projections. Zbl 1047.90042
Censor, Yair; Elfving, Tommy
2003
On variable block algebraic reconstruction techniques. Zbl 0764.65017
Censor, Yair
1991
New Douglas-Rachford algorithmic structures and their convergence analyses. Zbl 1382.90074
Censor, Yair; Mansour, Rafiq
2016
Iterative methods for the convex feasibility problem. Zbl 0571.90068
Censor, Yair
1984
Can linear superiorization be useful for linear optimization problems? Zbl 1397.90261
Censor, Yair
2017
Summed squared distance error reduction by simultaneous multiprojections and applications. Zbl 1029.90057
Censor, Yair; Cohen, Nir; Kutscher, Tuvia; Shamir, Joseph
2002
Convex feasibility modeling and projection methods for sparse signal recovery. Zbl 1256.94016
Carmi, Avishy; Censor, Yair; Gurfil, Pini
2012
Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms. Zbl 0990.65145
Censor, Yair
2001
Steered sequential projections for the inconsistent convex feasibility problem. Zbl 1113.90120
Censor, Yair; De Pierro, Alvaro R.; Zaknoon, Maroun
2004
The primal-dual algorithm as a constraint-set-manipulation device. Zbl 0734.90066
Lent, Arnold; Censor, Yair
1991
Cooperative wireless sensor network positioning via implicit convex feasibility. Zbl 1394.94208
Gholami, Mohammad Reza; Tetruashvili, Luba; Ström, Erik G.; Censor, Yair
2013
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
Binary steering of nonbinary iterative algorithms. Zbl 0965.68115
Censor, Yair; Matej, Samuel
1999
Preface: Superiorization: theory and applications. Zbl 1365.00030
2017
The implicit convex feasibility problem and its application to adaptive image denoising. Zbl 1374.90305
Censor, Yair; Gibali, Aviv; Lenzen, Frank; Schnorr, Christoph
2016
Interval-constrained matrix balancing. Zbl 0724.65043
Censor, Yair; Zenios, Stavros A.
1991
Derivative-free superiorization with component-wise perturbations. Zbl 07042047
Censor, Yair; Heaton, Howard; Schulte, Reinhard
2019
The cyclic Douglas-Rachford algorithm with $$r$$-sets-Douglas-Rachford operators. Zbl 1461.65117
Aragón Artacho, Francisco J.; Censor, Yair; Gibali, Aviv
2019
Redundant axioms in the definition of Bregman functions. Zbl 1091.90077
Butnariu, Dan; Byrne, Charles; Censor, Yair
2003
Asynchronous sequential inertial iterations for common fixed points problems with an application to linear systems. Zbl 1461.90098
Heaton, Howard; Censor, Yair
2019
On the use of D-functions in primal-dual methods and in the proximal minimization algorithm. Zbl 0777.90040
Censor, Y.; Zenios, S. A.
1992
Mathematical methods in biomedical imaging and intensity-modulated radiation therapy (IMRT). Most papers based on the presentations at the interdisciplinary workshop, Pisa, Italy, October 15–19, 2007. Zbl 1144.92026
2008
The application of an oblique-projected Landweber method to a model of supervised learning. Zbl 1130.94014
Johansson, Björn; Elfving, Tommy; Kozlov, Vladimir; Censor, Yair; Forssén, Per-Erik; Granlund, Gösta
2006
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
Finding a best approximation pair of points for two polyhedra. Zbl 1409.90126
Aharoni, Ron; Censor, Yair; Jiang, Zilin
2018
Mathematical aspects of radiation therapy treatment planning: Continuous inversion versus full discretization and optimization versus feasibility. Zbl 0929.65132
Censor, Yair
1999
An analysis of the superiorization method via the principle of concentration of measure. Zbl 07371841
Censor, Yair; Levy, Eliahu
2021
Derivative-free superiorization: principle and algorithm. Zbl 07384501
Censor, Yair; Garduño, Edgar; Helou, Elias S.; Herman, Gabor T.
2021
Derivative-free superiorization with component-wise perturbations. Zbl 07042047
Censor, Yair; Heaton, Howard; Schulte, Reinhard
2019
The cyclic Douglas-Rachford algorithm with $$r$$-sets-Douglas-Rachford operators. Zbl 1461.65117
Aragón Artacho, Francisco J.; Censor, Yair; Gibali, Aviv
2019
Asynchronous sequential inertial iterations for common fixed points problems with an application to linear systems. Zbl 1461.90098
Heaton, Howard; Censor, Yair
2019
Algorithms and convergence results of projection methods for inconsistent feasibility problems: a review. Zbl 1474.65181
Censor, Yair; Zaknoon, Maroun
2018
Finding a best approximation pair of points for two polyhedra. Zbl 1409.90126
Aharoni, Ron; Censor, Yair; Jiang, Zilin
2018
Convergence analysis of processes with valiant projection operators in Hilbert space. Zbl 1453.65131
Censor, Yair; Mansour, Rafiq
2018
Can linear superiorization be useful for linear optimization problems? Zbl 1397.90261
Censor, Yair
2017
Preface: Superiorization: theory and applications. Zbl 1365.00030
2017
Bounded perturbation resilience of projected scaled gradient methods. Zbl 1339.90262
Jin, Wenma; Censor, Yair; Jiang, Ming
2016
New Douglas-Rachford algorithmic structures and their convergence analyses. Zbl 1382.90074
Censor, Yair; Mansour, Rafiq
2016
The implicit convex feasibility problem and its application to adaptive image denoising. Zbl 1374.90305
Censor, Yair; Gibali, Aviv; Lenzen, Frank; Schnorr, Christoph
2016
Projection methods: an annotated bibliography of books and reviews. Zbl 1328.65001
Censor, Yair; Cegielski, Andrzej
2015
Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods. Zbl 1322.90063
Censor, Yair; Zaslavski, Alexander J.
2015
Weak and strong superiorization: between feasibility-seeking and minimization. Zbl 1349.90675
Censor, Yair
2015
Feasibility-seeking and superiorization algorithms applied to inverse treatment planning in radiation therapy. Zbl 1326.65067
Davidi, Ran; Censor, Yair; Schulte, Reinhard W.; Geneser, Sarah; Ying, Lei
2015
Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods. Zbl 1327.90229
Censor, Yair; Reem, Daniel
2015
Projected subgradient minimization versus superiorization. Zbl 1298.90104
Censor, Yair; Davidi, Ran; Herman, Gabor T.; Schulte, Reinhard W.; Tetruashvili, Luba
2014
String-averaging projected subgradient methods for constrained minimization. Zbl 1286.65072
Censor, Yair; Zaslavski, Alexander J.
2014
Family constraining of iterative algorithms. Zbl 1297.65056
Censor, Yair; Pantelimon, Ioana; Popa, Constantin
2014
String-averaging expectation-maximization for maximum likelihood estimation in emission tomography. Zbl 1291.68418
Helou, Elias Salomão; Censor, Yair; Chen, Tai-Been; Chern, I-Liang; De Pierro, Álvaro Rodolfo; Jiang, Ming; Lu, Henry Horng-Shing
2014
Convergence and perturbation resilience of dynamic string-averaging projection methods. Zbl 1285.90079
Censor, Yair; Zaslavski, Alexander J.
2013
Cooperative wireless sensor network positioning via implicit convex feasibility. Zbl 1394.94208
Gholami, Mohammad Reza; Tetruashvili, Luba; Ström, Erik G.; Censor, Yair
2013
Algorithms for the split variational inequality problem. Zbl 1239.65041
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Extensions of Korpelevich’s extragradient method for the variational inequality problem in Euclidean space. Zbl 1260.65056
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
2012
Common solutions to variational inequalities. Zbl 1296.47060
Censor, Yair; Gibali, Aviv; Reich, Simeon; Sabach, Shoham
2012
A von Neumann alternating method for finding common solutions to variational inequalities. Zbl 1263.47077
Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Extrapolation and local acceleration of an iterative process for common fixed point problems. Zbl 1251.65081
Cegielski, Andrzej; Censor, Yair
2012
Convex feasibility modeling and projection methods for sparse signal recovery. Zbl 1256.94016
Carmi, Avishy; Censor, Yair; Gurfil, Pini
2012
The subgradient extragradient method for solving variational inequalities in Hilbert space. Zbl 1229.58018
Censor, Y.; Gibali, A.; Reich, S.
2011
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. Zbl 1232.58008
Censor, Yair; Gibali, Aviv; Reich, Simeon
2011
Opial-type theorems and the common fixed point problem. Zbl 1245.47019
Cegielski, Andrzej; Censor, Yair
2011
Finite convergence of a subgradient projections method with expanding controls. Zbl 1254.90162
Censor, Yair; Chen, Wei; Pajoohesh, Homeira
2011
Perturbation resilience and superiorization of iterative algorithms. Zbl 1193.65019
Censor, Y.; Davidi, R.; Herman, G. T.
2010
Sparse string-averaging and split common fixed points. Zbl 1229.47107
Censor, Yair; Segal, Alexander
2010
The split common fixed point problem for directed operators. Zbl 1189.65111
Censor, Yair; Segal, Alexander
2009
Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections. Zbl 1191.94013
Davidi, R.; Herman, G. T.; Censor, Y.
2009
On the string averaging method for sparse common fixed-point problems. Zbl 1226.47070
Censor, Yair; Segal, Alexander
2009
A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin. Zbl 1177.68252
Censor, Yair; Herman, Gabor T.; Jiang, Ming
2009
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
On linear infeasibility arising in intensity-modulated radiation therapy inverse planning. Zbl 1130.92030
Censor, Yair; Ben-Israel, Adi; Xiao, Ying; Galvin, James M.
2008
On the behavior of subgradient projections methods for convex feasibility problems in Euclidean spaces. Zbl 1161.49033
Butnariu, Dan; Censor, Yair; Gurfil, Pini; Hadar, Ethan
2008
Projections onto super-half-spaces for monotone variational inequality problems in finite-dimensional space. Zbl 1194.49014
Censor, Yair; Gibali, Aviv
2008
Mathematical methods in biomedical imaging and intensity-modulated radiation therapy (IMRT). Most papers based on the presentations at the interdisciplinary workshop, Pisa, Italy, October 15–19, 2007. Zbl 1144.92026
2008
Perturbed projections and subgradient projections for the multiple-sets split feasibility problem. Zbl 1253.90211
Censor, Yair; Motova, Avi; Segal, Alexander
2007
Algorithms for the quasiconvex feasibility problem. Zbl 1080.65047
Censor, Yair; Segal, Alexander
2006
Computational acceleration of projection algorithms for the linear best approximation problem. Zbl 1100.65050
Censor, Yair
2006
The application of an oblique-projected Landweber method to a model of supervised learning. Zbl 1130.94014
Johansson, Björn; Elfving, Tommy; Kozlov, Vladimir; Censor, Yair; Forssén, Per-Erik; Granlund, Gösta
2006
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
2005
Best approximation to common fixed points of a semigroup of nonexpansive operators. Zbl 1071.41031
2005
Steered sequential projections for the inconsistent convex feasibility problem. Zbl 1113.90120
Censor, Yair; De Pierro, Alvaro R.; Zaknoon, Maroun
2004
Convergence of string-averaging projection schemes for inconsistent convex feasibility problems. Zbl 1065.65074
Censor, Yair; Tom, Eli
2003
The least-intensity feasible solution for aperture-based inverse planning in radiation therapy. Zbl 1046.90112
Xiao, Y.; Michalski, D.; Galvin, J. M.; Censor, Y.
2003
Finding the projection of a point onto the intersection of convex sets via projections onto half-spaces. Zbl 1045.90045
Bregman, Lev M.; Censor, Yair; Reich, Simeon; Zepkowitz-Malachi, Yael
2003
Iterative algorithms with seminorm-induced oblique projections. Zbl 1047.90042
Censor, Yair; Elfving, Tommy
2003
Redundant axioms in the definition of Bregman functions. Zbl 1091.90077
Butnariu, Dan; Byrne, Charles; Censor, Yair
2003
Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem. Zbl 1028.90034
Censor, Yair; Elfving, Tommy
2002
Block-iterative algorithms with underrelaxed Bregman projections. Zbl 1055.90059
Censor, Yair; Herman, Gabor T.
2002
Summed squared distance error reduction by simultaneous multiprojections and applications. Zbl 1029.90057
Censor, Yair; Cohen, Nir; Kutscher, Tuvia; Shamir, Joseph
2002
Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems. Zbl 0972.68189
Censor, Y.; Gordon, D.; Gordon, R.
2001
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback–Leibler distance minimization. Zbl 1012.90035
Byrne, Charles; Censor, Yair
2001
Inherently parallel algorithms in feasibility and optimization and their applications. Research workshop, Haifa, Israel, March 13–16, 2000. Zbl 0971.00058
2001
Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms. Zbl 0990.65145
Censor, Yair
2001
Dykstra’s algorithm as the nonlinear extension of Bregman’s optimization method. Zbl 0960.90067
Bregman, Lev M.; Censor, Yair; Reich, Simeon
1999
Binary steering of nonbinary iterative algorithms. Zbl 0965.68115
Censor, Yair; Matej, Samuel
1999
Mathematical aspects of radiation therapy treatment planning: Continuous inversion versus full discretization and optimization versus feasibility. Zbl 0929.65132
Censor, Yair
1999
An interior point method with Bregman functions for the variational inequality problem with paramonotone operators. Zbl 0919.90123
Censor, Yair; Iusem, Alfredo N.; Zenios, Stavros A.
1998
The Dykstra algorithm with Bregman projections. Zbl 0897.90155
Censor, Y.; Reich, S.
1998
Parallel optimization. Theory, algorithms, and applications. Zbl 0945.90064
Censor, Yair; Zenios, Stavros A.
1997
Iterative averaging of entropic projections for solving stochastic convex feasibility problems. Zbl 0880.90106
Butnariu, Dan; Censor, Yair; Reich, Simeon
1997
Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization. Zbl 0883.47063
Censor, Y.; Reich, S.
1996
A multiprojection algorithm using Bregman projections in a product space. Zbl 0828.65065
Censor, Yair; Elfving, Tommy
1994
Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces. Zbl 0814.65053
Butnariu, Dan; Censor, Yair
1994
Proximal minimization algorithm with $$D$$-functions. Zbl 0794.90058
Censor, Y.; Zenios, S. A.
1992
On the use of D-functions in primal-dual methods and in the proximal minimization algorithm. Zbl 0777.90040
Censor, Y.; Zenios, S. A.
1992
Massively parallel row-action algorithms for some nonlinear transportation problems. Zbl 0754.90057
Zenios, Stavros A.; Censor, Yair
1991
Optimization of Burg’s entropy over linear constraints. Zbl 0722.65032
Censor, Yair; De Pierro, Alvaro R.; Iusem, Alfredo N.
1991
On variable block algebraic reconstruction techniques. Zbl 0764.65017
Censor, Yair
1991
The primal-dual algorithm as a constraint-set-manipulation device. Zbl 0734.90066
Lent, Arnold; Censor, Yair
1991
Interval-constrained matrix balancing. Zbl 0724.65043
Censor, Yair; Zenios, Stavros A.
1991
Parallel computing with block-iterative image reconstruction algorithms. Zbl 0727.65118
Zenios, Stavros A.; Censor, Yair
1991
On the behavior of a block-iterative projection method for solving convex feasibility problems. Zbl 0708.90064
Butnariu, Dan; Censor, Yair
1990
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
Block-iterative projection methods for parallel computation of solutions to convex feasibility problems. Zbl 0679.65046
Aharoni, Ron; Censor, Yair
1989
Parallel application of block-iterative methods in medical imaging and radiation therapy. Zbl 0658.90099
Censor, Yair
1988
On the use of Cimmino’s simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning. Zbl 0653.65049
Censor, Yair; Altschuler, Martin D.; Powlis, William D.
1988
A computational solution of the inverse problem in radiation-therapy treatment planning. Zbl 0637.65060
Censor, Yair; Altschuler, Martin D.; Powlis, William D.
1988
On some optimization techniques in image reconstruction from projections. Zbl 0655.65140
Censor, Yair; Herman, Gabor T.
1987
Optimization of “log x” entropy over linear equality constraints. Zbl 0631.90050
Censor, Yair; Lent, Arnold
1987
On block-iterative entropy maximization. Zbl 0631.90087
Censor, Yair; Segman, Joseph
1987
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
An automatic relaxation method for solving interval linear inequalities. Zbl 0568.65022
Censor, Yair
1985
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
Iterative methods for the convex feasibility problem. Zbl 0571.90068
Censor, Yair
1984
Strong underrelaxation in Kaczmarz’s method for inconsistent systems. Zbl 0489.65023
Censor, Yair; Eggermont, Paul P. B.; Gordon, Dan
1983
An interior points algorithm for the convex feasibility problem. Zbl 0489.52005
Aharoni, Ron; Berman, Abraham; Censor, Yair
1983
...and 11 more Documents
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### Cited by 1,847 Authors

 81 Shehu, Yekini 78 Kumam, Poom 71 Censor, Yair 67 Reich, Simeon 57 Mewomo, Oluwatosin Temitope 51 Dương Việt Thông 49 Dang Van Hieu 48 Gibali, Aviv 48 Yao, Jen-Chih 47 Cho, Yeol Je 46 Dong, Qiaoli 45 Cholamjiak, Prasit 43 Yao, Yonghong 37 Ceng, Lu-Chuan 36 Jolaoso, Lateef Olakunle 36 Qin, Xiaolong 35 Chang, Shih-Sen 35 Liou, Yeongcheng 32 Suantai, Suthep 31 Bauschke, Heinz H. 29 Iusem, Alfredo Noel 28 Iyiola, Olaniyi Samuel 27 He, Songnian 25 Izuchukwu, Chinedu 24 Trương Minh Tuyên 24 Wang, Lin 24 Zaslavski, Alexander Yakovlevich 22 Zegeye, Habtu 21 Naraghirad, Eskandar 21 Sunthrayuth, Pongsakorn 20 Kang, Shin Min 20 Tan, Bing 20 Tian, Ming 20 Wang, Fenghui 19 Cegielski, Andrzej 18 Alakoya, Timilehin Opeyemi 18 Combettes, Patrick L. 18 Muu, Le Dung 18 Takahashi, Wataru 17 Dang, Yazheng 17 Kazmi, Kaleem Raza 17 Ogbuisi, Ferdinard Udochukwu 17 Rehman, Habib Ur 17 Taiwo, Adeolu 17 Wang, Shawn Xianfu 17 Zenios, Stavros Andrea 16 Ansari, Qamrul Hasan 16 Chen, Rudong 16 Eslamian, Mohammad 16 Saewan, Siwaporn 16 Wen, Chingfeng 16 Xu, Hong-Kun 15 Chuang, Chih-Sheng 15 de Pierro, Alvaro Rodolfo 14 Li, Meixia 14 Su, Yongfu 14 Zalas, Rafał 14 Zhao, Jing 13 Butnariu, Dan 13 Che, Haitao 13 Kangtunyakarn, Atid 13 Kim, Jong Kyu 13 Pholasa, Nattawut 13 Tang, Yuchao 12 Cho, Sun Young 12 Dax, Achiya 12 Deepho, Jitsupa 12 Elfving, Tommy 12 Herman, Gabor T. 12 Li, Xiaohuan 12 Needell, Deanna 12 Okeke, Chibueze Christian 12 Pham Ky Anh 12 Popa, Constantin Gh. 12 Shahzad, Naseer 11 Chidume, Charles Ejike 11 Gao, Yan 11 Kumam, Wiyada 11 Nikazad, Touraj 11 Rassias, Themistocles Michael 11 Shi, Luoyi 11 Zhou, Haiyun 10 Anh, Tran Viet 10 Cai, Gang 10 da Cruz Neto, João Xavier 10 Kesornprom, Suparat 10 Latif, Abdul 10 Ma, Zhaoli 10 Pakkaranang, Nuttapol 10 Petrot, Narin 10 Sitthithakerngkiet, Kanokwan 10 Vinh, Nguyen The 10 Wattanawitoon, Kriengsak 10 Zhu, Lijun 9 Ali, Bashir 9 Bello Cruz, Jose Yunier 9 Crombez, Gilbert 9 Gebrie, Anteneh Getachew 9 Han, Deren 9 Lin, Lai-Jiu ...and 1,747 more Authors
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### Cited in 267 Serials

 139 Optimization 135 Fixed Point Theory and Applications 131 Journal of Inequalities and Applications 100 Numerical Algorithms 95 Journal of Optimization Theory and Applications 74 Abstract and Applied Analysis 70 Numerical Functional Analysis and Optimization 50 Journal of Fixed Point Theory and Applications 48 Journal of Global Optimization 46 Linear Algebra and its Applications 42 Computational Optimization and Applications 39 Journal of Computational and Applied Mathematics 37 Applied Mathematics and Computation 36 Computational and Applied Mathematics 36 Journal of Nonlinear Science and Applications 35 Mathematical Programming. Series A. Series B 33 Optimization Letters 32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 30 Thai Journal of Mathematics 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Applied Mathematics 22 Inverse Problems 21 Journal of Function Spaces 20 SIAM Journal on Optimization 20 Optimization Methods & Software 20 Journal of Nonlinear and Variational Analysis 18 Journal of Mathematical Analysis and Applications 18 Applied Numerical Mathematics 16 Computers & Mathematics with Applications 16 European Journal of Operational Research 16 Journal of Industrial and Management Optimization 15 Journal of Scientific Computing 15 Set-Valued and Variational Analysis 14 Filomat 13 Rendiconti del Circolo Matemàtico di Palermo. Serie II 13 Optimization and Engineering 12 Applicable Analysis 12 Journal of Approximation Theory 12 Mathematical and Computer Modelling 12 Journal of Applied Mathematics and Computing 11 Demonstratio Mathematica 11 International Journal of Computer Mathematics 11 Cybernetics and Systems Analysis 11 Vietnam Journal of Mathematics 10 BIT 10 Annals of Operations Research 10 Mathematical Problems in Engineering 10 SIAM Journal on Imaging Sciences 10 Afrika Matematika 9 Acta Mathematica Vietnamica 9 Numerische Mathematik 9 SIAM Journal on Scientific Computing 8 Journal of Mathematical Imaging and Vision 8 Nonlinear Functional Analysis and Applications 8 Advances in Difference Equations 7 Applied Mathematics and Optimization 7 Journal of the Nigerian Mathematical Society 7 SIAM Journal on Matrix Analysis and Applications 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Asian-European Journal of Mathematics 7 Journal of Mathematics 6 Calcolo 6 International Journal of Mathematics and Mathematical Sciences 6 Results in Mathematics 6 Journal of Information & Optimization Sciences 6 Operations Research Letters 6 Acta Applicandae Mathematicae 6 International Transactions in Operational Research 6 Mathematical Methods of Operations Research 6 AIMS Mathematics 5 Bulletin of the Iranian Mathematical Society 5 The Journal of Fourier Analysis and Applications 5 Fixed Point Theory 5 Mediterranean Journal of Mathematics 5 JP Journal of Fixed Point Theory and Applications 5 Journal of Nonlinear Analysis and Optimization: Theory & Applications 5 Mathematical Sciences 4 Automatica 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematics Letters 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Convex Analysis 4 Novi Sad Journal of Mathematics 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 4 Inverse Problems in Science and Engineering 4 Nonlinear Analysis. Hybrid Systems 4 Numerical Algebra, Control and Optimization 4 Arabian Journal of Mathematics 4 Korean Journal of Mathematics 4 Fixed Point Theory and Algorithms for Sciences and Engineering 3 Discrete Applied Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Asia-Pacific Journal of Operational Research 3 Journal of Economic Dynamics & Control 3 Machine Learning 3 The Journal of Analysis 3 Numerical Linear Algebra with Applications ...and 167 more Serials
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### Cited in 43 Fields

 1,294 Operator theory (47-XX) 907 Operations research, mathematical programming (90-XX) 879 Numerical analysis (65-XX) 514 Calculus of variations and optimal control; optimization (49-XX) 113 Computer science (68-XX) 59 Information and communication theory, circuits (94-XX) 58 Linear and multilinear algebra; matrix theory (15-XX) 54 Functional analysis (46-XX) 48 General topology (54-XX) 47 Biology and other natural sciences (92-XX) 35 Statistics (62-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Approximations and expansions (41-XX) 26 Convex and discrete geometry (52-XX) 16 Real functions (26-XX) 16 Systems theory; control (93-XX) 14 Partial differential equations (35-XX) 12 Integral transforms, operational calculus (44-XX) 10 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Sequences, series, summability (40-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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