-
1
-
-
0000198744
-
Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
-
R. Aharoni and Y. Censor, Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra and its Applications 120 (1989) 165-175.
-
(1989)
Linear Algebra and Its Applications
, vol.120
, pp. 165-175
-
-
Aharoni, R.1
Censor, Y.2
-
3
-
-
0030246542
-
On projection algorithms for solving convex feasibility problems
-
H.H. Bauschke and J.M. Borwein, On projection algorithms for solving convex feasibility problems, SIAM Review 38 (1996) 367-426.
-
(1996)
SIAM Review
, vol.38
, pp. 367-426
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
4
-
-
21744459385
-
Legendre functions and the method of random Bregman projections
-
H.H. Bauschke and J.M. Borwein, Legendre functions and the method of random Bregman projections, Journal of Convex Analysis 4 (1997) 27-67.
-
(1997)
Journal of Convex Analysis
, vol.4
, pp. 27-67
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
5
-
-
49949144765
-
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
-
L.M. Bregman, The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming, USSR Computational Mathematics and Mathematical Physics 7 (1967) 200-217.
-
(1967)
USSR Computational Mathematics and Mathematical Physics
, vol.7
, pp. 200-217
-
-
Bregman, L.M.1
-
6
-
-
22844453400
-
Dykstra's algorithm as the nonlinear extension of Bregman's optimization method
-
L.M. Bregman, Y. Censor and S. Reich, Dykstra's algorithm as the nonlinear extension of Bregman's optimization method, Journal of Convex Analysis 6 (1999) 319-333.
-
(1999)
Journal of Convex Analysis
, vol.6
, pp. 319-333
-
-
Bregman, L.M.1
Censor, Y.2
Reich, S.3
-
8
-
-
5744237139
-
On the behavior of a block-iterative projection method for solving convex feasibility problems
-
D. Butnariu and Y Censor, On the behavior of a block-iterative projection method for solving convex feasibility problems, International Journal of Computer Mathematics 34 (1990) 79-94.
-
(1990)
International Journal of Computer Mathematics
, vol.34
, pp. 79-94
-
-
Butnariu, D.1
Censor, Y.2
-
9
-
-
0002068851
-
Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces
-
D. Butnariu and Y Censor, Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces, Journal of Computational and Applied Mathematics 53 (1994) 33-42.
-
(1994)
Journal of Computational and Applied Mathematics
, vol.53
, pp. 33-42
-
-
Butnariu, D.1
Censor, Y.2
-
10
-
-
0031188734
-
Iterative averaging of entropic projections for solving stochastic convex feasibility
-
D. Butnariu, Y Censor and S. Reich, Iterative averaging of entropic projections for solving stochastic convex feasibility, Computational Optimization and Applications 8 (1997) 21-39.
-
(1997)
Computational Optimization and Applications
, vol.8
, pp. 21-39
-
-
Butnariu, D.1
Censor, Y.2
Reich, S.3
-
11
-
-
0042112023
-
-
Elsevier Science, Amsterdam, The Netherlands
-
D. Butnariu, Y Censor and S. Reich, eds., Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Elsevier Science, Amsterdam, The Netherlands, 2001).
-
(2001)
Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications
-
-
Butnariu, D.1
Censor, Y.2
Reich, S.3
-
13
-
-
0027190119
-
Iterative image reconstruction algorithms based on cross-entropy minimization
-
C.L. Byrne, Iterative image reconstruction algorithms based on cross-entropy minimization, IEEE Transactions on Image Processing IP-2 (1993) 96-103.
-
(1993)
IEEE Transactions on Image Processing
, vol.IP-2
, pp. 96-103
-
-
Byrne, C.L.1
-
14
-
-
0042613097
-
Iterative image reconstruction algorithms based on cross-entropy minimization
-
Erratum and addendum to
-
C.L. Byrne, Erratum and addendum to "Iterative image reconstruction algorithms based on cross-entropy minimization", IEEE Transactions on Image Processing IP-4 (1995) 225-226.
-
(1995)
IEEE Transactions on Image Processing
, vol.IP-4
, pp. 225-226
-
-
Byrne, C.L.1
-
15
-
-
0043114005
-
Iterative reconstruction algorithms based on cross-entropy minimization
-
Image Models (and their Speech Model Cousins), eds. S.E. Levinson and L. Shepp, Springer, New York
-
C.L. Byrne, Iterative reconstruction algorithms based on cross-entropy minimization, in: Image Models (and their Speech Model Cousins), eds. S.E. Levinson and L. Shepp, IMA Volumes in Mathematics and its Applications, Vol. 80 (Springer, New York, 1996) pp. 1-11.
-
(1996)
IMA Volumes in Mathematics and Its Applications
, vol.80
, pp. 1-11
-
-
Byrne, C.L.1
-
16
-
-
0001045771
-
Iterative projection onto convex sets using multiple Bregman distances
-
C.L. Byrne, Iterative projection onto convex sets using multiple Bregman distances, Inverse Problems 15 (1999) 1295-1313.
-
(1999)
Inverse Problems
, vol.15
, pp. 1295-1313
-
-
Byrne, C.L.1
-
17
-
-
0000472626
-
Block-iterative interior point optimization methods for image reconstruction from limited data
-
C.L. Byrne, Block-iterative interior point optimization methods for image reconstruction from limited data, Inverse Problems 16 (2000) 1405-1419.
-
(2000)
Inverse Problems
, vol.16
, pp. 1405-1419
-
-
Byrne, C.L.1
-
18
-
-
0005327466
-
Proximity function minimization for separable, jointly convex Bregman distances, with applications
-
February
-
C.L. Byrne and Y. Censor, Proximity function minimization for separable, jointly convex Bregman distances, with applications, Technical Report (February 1998).
-
(1998)
Technical Report
-
-
Byrne, C.L.1
Censor, Y.2
-
19
-
-
0000439725
-
Row-action methods for huge and sparse systems and their applications
-
Y. Censor, Row-action methods for huge and sparse systems and their applications, SIAM Review 23 (1981) 444-464.
-
(1981)
SIAM Review
, vol.23
, pp. 444-464
-
-
Censor, Y.1
-
20
-
-
34250085515
-
Parallel application of block-iterative methods in medical imaging and radiation therapy
-
Y. Censor, Parallel application of block-iterative methods in medical imaging and radiation therapy, Mathematical Programming 42 (1988) 307-325.
-
(1988)
Mathematical Programming
, vol.42
, pp. 307-325
-
-
Censor, Y.1
-
21
-
-
0000424337
-
A multiprojection algorithm using Bregman projections in a product space
-
Y. Censor and T. Elfving, A multiprojection algorithm using Bregman projections in a product space, Numerical Algorithms 8 (1994) 221-239.
-
(1994)
Numerical Algorithms
, vol.8
, pp. 221-239
-
-
Censor, Y.1
Elfving, T.2
-
22
-
-
0035341879
-
Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems
-
Y. Censor, D. Gordon and R. Gordon, Component averaging: an efficient iterative parallel algorithm for large and sparse unstructured problems, Parallel Computing 27 (2001) 777-808.
-
(2001)
Parallel Computing
, vol.27
, pp. 777-808
-
-
Censor, Y.1
Gordon, D.2
Gordon, R.3
-
23
-
-
0023438279
-
On some optimization techniques in image reconstruction from projections
-
Y. Censor and G.T. Herman, On some optimization techniques in image reconstruction from projections, Applied Numerical Mathematics 3 (1987) 365-391.
-
(1987)
Applied Numerical Mathematics
, vol.3
, pp. 365-391
-
-
Censor, Y.1
Herman, G.T.2
-
24
-
-
0000683866
-
An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
-
Y. Censor, A.N. Iusem and S.A. Zenios, An interior point method with Bregman functions for the variational inequality problem with paramonotone operators, Mathematical Programming 81 (1998) 373-400.
-
(1998)
Mathematical Programming
, vol.81
, pp. 373-400
-
-
Censor, Y.1
Iusem, A.N.2
Zenios, S.A.3
-
27
-
-
0030456727
-
Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization
-
Y. Censor and S. Reich, Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization, Optimization 37 (1996) 323-339.
-
(1996)
Optimization
, vol.37
, pp. 323-339
-
-
Censor, Y.1
Reich, S.2
-
29
-
-
0003495409
-
-
Oxford University Press, New York, NY, USA
-
Y. Censor and S.A. Zenios, Parallel Optimization: Theory, Algorithms and Applications (Oxford University Press, New York, NY, USA 1997).
-
(1997)
Parallel Optimization: Theory, Algorithms and Applications
-
-
Censor, Y.1
Zenios, S.A.2
-
30
-
-
0027541192
-
The foundations of set theoretic estimation
-
P.L. Combettes, The foundations of set theoretic estimation, Proceedings of the IEEE 81 (1993) 182-208.
-
(1993)
Proceedings of the IEEE
, vol.81
, pp. 182-208
-
-
Combettes, P.L.1
-
31
-
-
0028543165
-
Inconsistent signal feasibility: Least-squares solutions in a product space
-
P.L. Combettes, Inconsistent signal feasibility: Least-squares solutions in a product space, IEEE Transactions on Signal Processing SP-42 (1994) 2955-2966.
-
(1994)
IEEE Transactions on Signal Processing
, vol.SP-42
, pp. 2955-2966
-
-
Combettes, P.L.1
-
32
-
-
0001560954
-
Information geometry and alternating minimization procedures
-
I. Csiszár and G. Tusnády, Information geometry and alternating minimization procedures, Statistics and Decisions, Supp. 1 (1984) 205-237.
-
(1984)
Statistics and Decisions
, Issue.1 SUPPL.
, pp. 205-237
-
-
Csiszár, I.1
Tusnády, G.2
-
34
-
-
84948499836
-
An algorithm for restricted least squares regression
-
R. Dykstra, An algorithm for restricted least squares regression, Journal of the American Statistical Society 78 (1983) 837-842.
-
(1983)
Journal of the American Statistical Society
, vol.78
, pp. 837-842
-
-
Dykstra, R.1
-
35
-
-
0010015340
-
An iterative procedure for obtaining I-projections onto the intersection of convex sets
-
R. Dykstra, An iterative procedure for obtaining I-projections onto the intersection of convex sets, The Annals of Probability 13 (1985) 975-984.
-
(1985)
The Annals of Probability
, vol.13
, pp. 975-984
-
-
Dykstra, R.1
-
36
-
-
84872994794
-
On EM-like algorithms with EM-like properties for smoothed minimum distance estimation
-
Department of Mathematical Sciences, University of Delaware, Newark, USA (March)
-
P.P.B. Eggermont and V.N. LaRiccia, On EM-like algorithms with EM-like properties for smoothed minimum distance estimation, Technical Report DE 19716, Department of Mathematical Sciences, University of Delaware, Newark, USA (March 1998).
-
(1998)
Technical Report DE 19716
-
-
Eggermont, P.P.B.1
LaRiccia, V.N.2
-
38
-
-
84988214134
-
Convergence analysis for a multiplieatively relaxed EM algorithm
-
A.N. Iusem, Convergence analysis for a multiplieatively relaxed EM algorithm, Mathematical Methods in the Applied Sciences 14 (1991) 573-593.
-
(1991)
Mathematical Methods in the Applied Sciences
, vol.14
, pp. 573-593
-
-
Iusem, A.N.1
-
39
-
-
0043114004
-
A short convergence proof of the EM algorithm for a specific Poisson model
-
A.N. Iusem, A short convergence proof of the EM algorithm for a specific Poisson model, Revista Brasileira de Probabilidade e Estatistica 6 (1992) 57-67.
-
(1992)
Revista Brasileira de Probabilidade e Estatistica
, vol.6
, pp. 57-67
-
-
Iusem, A.N.1
-
40
-
-
34250130112
-
Convergence results for an accelerated nonlinear Cimmino algorithm
-
A.N. Iusem and A.R. De Pierro, Convergence results for an accelerated nonlinear Cimmino algorithm, Numerische Mathematik 49 (1986) 367-378.
-
(1986)
Numerische Mathematik
, vol.49
, pp. 367-378
-
-
Iusem, A.N.1
De Pierro, A.R.2
-
41
-
-
0345295872
-
Block iterative surrogate projection methods for convex feasibility problems
-
K.C. Kiwiel, Block iterative surrogate projection methods for convex feasibility problems, Linear Algebra and its Applications 215 (1995) 225-259.
-
(1995)
Linear Algebra and Its Applications
, vol.215
, pp. 225-259
-
-
Kiwiel, K.C.1
-
42
-
-
0031146730
-
Free-steering relaxation methods for problems with strictly convex costs and linear constraints
-
K.C. Kiwiel, Free-steering relaxation methods for problems with strictly convex costs and linear constraints, Mathematics of Operations Research 22 (1997) 326-349.
-
(1997)
Mathematics of Operations Research
, vol.22
, pp. 326-349
-
-
Kiwiel, K.C.1
-
44
-
-
0021327145
-
EM reconstruction algorithms for emission and transmission tomography
-
K. Lange and R. Carson, EM reconstruction algorithms for emission and transmission tomography, Journal of Computer Assisted Tomography 8 (1984) 306-316.
-
(1984)
Journal of Computer Assisted Tomography
, vol.8
, pp. 306-316
-
-
Lange, K.1
Carson, R.2
-
45
-
-
84872986398
-
On iterated averages of I-projections
-
March
-
F. Matúš, On iterated averages of I-projections, Technical Report (March 1997).
-
(1997)
Technical Report
-
-
Matúš, F.1
-
47
-
-
0021201713
-
Decomposition through formalization in a product space
-
G. Pierra, Decomposition through formalization in a product space, Mathematical Programming 28 (1984) 96-115.
-
(1984)
Mathematical Programming
, vol.28
, pp. 96-115
-
-
Pierra, G.1
-
48
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, NJ, 1970).
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
49
-
-
0034187944
-
An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions
-
M.V. Solodov and B.F. Svaiter, An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions, Mathematics of Operations Research 25 (2000) 214-230.
-
(2000)
Mathematics of Operations Research
, vol.25
, pp. 214-230
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
50
-
-
0003968346
-
-
Wiley, New York, NY
-
H. Stark and Y. Yang, Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets and Optics (Wiley, New York, NY, 1998).
-
(1998)
Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets and Optics
-
-
Stark, H.1
Yang, Y.2
-
51
-
-
0023363465
-
A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm
-
E. Tanaka, A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm, IEEE Transactions on Medical Imaging MI-6 (1987) 98-105.
-
(1987)
IEEE Transactions on Medical Imaging
, vol.MI-6
, pp. 98-105
-
-
Tanaka, E.1
-
53
-
-
0002605032
-
Mathematical theory of image restoration by the method of convex projections
-
ed. H. Stark (Academic Press, Orlando, FL)
-
D.C. Youla, Mathematical theory of image restoration by the method of convex projections, in: Image Recovery: Theory and Applications, ed. H. Stark (Academic Press, Orlando, FL, 1987) pp. 29-78.
-
(1987)
Image Recovery: Theory and Applications
, pp. 29-78
-
-
Youla, D.C.1
|