-
1
-
-
0000198744
-
Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
-
R. Aharoni, Y. Censor, Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra Appl. 120 (1989) 165-175.
-
(1989)
Linear Algebra Appl.
, vol.120
, pp. 165-175
-
-
Aharoni, R.1
Censor, Ynn.2
-
3
-
-
0003936377
-
-
Springer, Berlin, Germany
-
J.-P. Aubin, A. Cellina, Differential Inclusions, Springer, Berlin, Germany, 1984.
-
(1984)
Differential Inclusions
-
-
Aubin, J.-P.1
Cellina, A.2
-
4
-
-
0030586523
-
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
-
H.H. Bauschke, The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space, J. Math. Anal. Appl. 202 (1996) 150-159.
-
(1996)
J. Math. Anal. Appl.
, vol.202
, pp. 150-159
-
-
Bauschke, H.H.1
-
5
-
-
0030246542
-
On projection algorithms for solving convex feasibility problems
-
H.H. Bauschke, J.M. Borwein, On projection algorithms for solving convex feasibility problems, SIAM Rev. 38 (1996) 367-426.
-
(1996)
SIAM Rev.
, vol.38
, pp. 367-426
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
6
-
-
21744459385
-
Legendre functions and the method of random Bregman projections
-
H.H. Bauschke, J.M. Borwein, Legendre functions and the method of random Bregman projections, J. Convex Anal. 4 (1997) 27-67.
-
(1997)
J. Convex Anal.
, vol.4
, pp. 27-67
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
7
-
-
77956679007
-
Joint and separate convexity of Bregman distance
-
D. Butnariu, Y. Censor, S. Reich (Eds.), (Haifa 2000), Elsevier Science, Amsterdam, The Netherlands
-
H.H. Bauschke, J.M. Borwein, Joint and separate convexity of Bregman distance, in: D. Butnariu, Y. Censor, S. Reich (Eds.), Inherently Parallel Algorithms in Feasibility and Optimization and their Applications, (Haifa 2000), Elsevier Science, Amsterdam, The Netherlands, 2001, pp. 23-36.
-
(2001)
Inherently Parallel Algorithms in Feasibility and Optimization and their Applications
, pp. 23-36
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
8
-
-
0003713964
-
-
Athena Scientific, Belmont, MA, USA
-
D.P. Bertsekas, Nonlinear Programming, Athena Scientific, Belmont, MA, USA, 1995.
-
(1995)
Nonlinear Programming
-
-
Bertsekas, D.P.1
-
9
-
-
0031285678
-
A new class of incremental gradient methods for least squares problems
-
D.P. Bertsekas, A new class of incremental gradient methods for least squares problems, SIAM J. Optim. 7 (1997) 913-926.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 913-926
-
-
Bertsekas, D.P.1
-
10
-
-
0034389611
-
Gradient convergence in gradient methods
-
D.P. Bertsekas, J.N. Tsitsiklis, Gradient convergence in gradient methods, SIAM J. Optim. 36 (2000) 627-642.
-
(2000)
SIAM J. Optim.
, vol.36
, pp. 627-642
-
-
Bertsekas, D.P.1
Tsitsiklis, J.N.2
-
11
-
-
0001336448
-
The method of successive projections for finding a common point of convex sets
-
L.M. Bregman, The method of successive projections for finding a common point of convex sets, Sov. Math. Dokl. 6 (1965) 688-692.
-
(1965)
Sov. Math. Dokl.
, vol.6
, pp. 688-692
-
-
Bregman, L.M.1
-
12
-
-
0035565698
-
Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization
-
C. Byme, Y. Censor, Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization, Ann. Oper. Res. 105 (2001) 77-98.
-
(2001)
Ann. Oper. Res.
, vol.105
, pp. 77-98
-
-
Byme, C.1
Censor, Y.2
-
13
-
-
0002206795
-
Strong underrelaxation in Kaczmarz's method for inconsistent systems
-
Y. Censor, P.P.B. Eggermont, D. Gordon, Strong underrelaxation in Kaczmarz's method for inconsistent systems, Numer. Math. 41 (1983) 83-92.
-
(1983)
Numer. Math.
, vol.41
, pp. 83-92
-
-
Censor, Y.1
Eggermont, P.P.B.2
Gordon, D.3
-
14
-
-
0003495409
-
-
Oxford University Press, New York, NY, USA
-
Y. Censor, S.A. Zenios, Parallel Algorithms: Theory, Algorithms, and Applications, Oxford University Press, New York, NY, USA, 1997.
-
(1997)
Parallel Algorithms: Theory, Algorithms, and Applications
-
-
Censor, Y.1
Zenios, S.A.2
-
16
-
-
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 Trans. Signal Process. SP-42 (1994) 2955-2966.
-
(1994)
IEEE Trans. Signal Process. SP-42
, pp. 2955-2966
-
-
Combettes, P.L.1
-
17
-
-
77954607855
-
The convex feasibility problem in image recovery
-
P.W. Hawkes (Ed.), Academic Press, New York, NY, USA
-
P.L. Combettes, The convex feasibility problem in image recovery, in: P.W. Hawkes (Ed.), Advances in Imaging and Electron Physics, Academic Press, New York, NY, USA, 1996, pp. 155-270.
-
(1996)
Advances in Imaging and Electron Physics
, pp. 155-270
-
-
Combettes, P.L.1
-
18
-
-
77956694497
-
From parallel to sequential projection methods and vice versa in convex feasibility: Results and conjectures
-
D. Butnariu, Y. Censor, S. Reich (Eds.), Elsevier Science Publishers, Amsterdam, The Netherlands
-
A.R. De Pierro, From parallel to sequential projection methods and vice versa in convex feasibility: results and conjectures, in: D. Butnariu, Y. Censor, S. Reich (Eds.), Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, Elsevier Science Publishers, Amsterdam, The Netherlands, 2001, pp. 187-201.
-
(2001)
Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications
, pp. 187-201
-
-
De Pierro, A.R.1
-
19
-
-
0031999680
-
Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
-
F. Deutsch, I. Yamada, Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings, Numer. Funct. Anal. Optim. 19 (1998) 33-56.
-
(1998)
Numer. Funct. Anal. Optim.
, vol.19
, pp. 33-56
-
-
Deutsch, F.1
Yamada, I.2
-
20
-
-
0000680340
-
Approximate iterations in Bregman-function-based proximal algorithms
-
J. Eckstein, Approximate iterations in Bregman-function-based proximal algorithms, Math. Programming 83 (1998) 113-123.
-
(1998)
Math. Programming
, vol.83
, pp. 113-123
-
-
Eckstein, J.1
-
21
-
-
4944237976
-
A practical general approximation criterion for methods of multipliers based on Bregman distances
-
J. Eckstein, A practical general approximation criterion for methods of multipliers based on Bregman distances, Math. Programming Ser. A 96 (2003) 61-86.
-
(2003)
Math. Programming Ser. A
, vol.96
, pp. 61-86
-
-
Eckstein, J.1
-
22
-
-
33845708830
-
The method of projections for finding the common point of convex sets
-
L. Gubin, B. Polyak, E. Raik, The method of projections for finding the common point of convex sets, USSR Comput Math. Math. Phys. 7 (1967) 1-24.
-
(1967)
USSR Comput Math. Math. Phys.
, vol.7
, pp. 1-24
-
-
Gubin, L.1
Polyak, B.2
Raik, E.3
-
23
-
-
0000736340
-
Approximation de points fixes de contractions
-
P.-L. Lions, Approximation de points fixes de contractions, C. R. Acad. Sci. Paris Sér. A-B 284 (1977) A1357-A1359.
-
(1977)
C. R. Acad. Sci. Paris Sér. A-B
, vol.284
-
-
Lions, P.-L.1
-
24
-
-
0242448546
-
On products of projections
-
R. Meshulam, On products of projections, Discrete Math. 154 (1996) 307-310.
-
(1996)
Discrete Math.
, vol.154
, pp. 307-310
-
-
Meshulam, R.1
-
25
-
-
0036342213
-
Incremental subgradient methods for non-differentiable optimization
-
A. Nedić, D.P. Bertsekas. Incremental subgradient methods for non-differentiable optimization, SIAM J Optim. 12 (2001) 109-138.
-
(2001)
SIAM J Optim.
, vol.12
, pp. 109-138
-
-
Nedić, A.1
Bertsekas, D.P.2
-
26
-
-
4944242999
-
Approximating fixed points of holomorphic mappings
-
S. Reich, Approximating fixed points of holomorphic mappings, Math Japon. 37 (1992) 457-459.
-
(1992)
Math Japon.
, vol.37
, pp. 457-459
-
-
Reich, S.1
-
27
-
-
0001896374
-
Approximating fixed points of nonexpansive mappings
-
S. Reich, Approximating fixed points of nonexpansive mappings, Panamerican Math. J. 4 (1994) 23-28.
-
(1994)
Panamerican Math. J.
, vol.4
, pp. 23-28
-
-
Reich, S.1
-
28
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ, USA
-
T. Rockaffellar, Convex Analysis, Princeton University Press, Princeton, NJ, USA, 1972.
-
(1972)
Convex Analysis
-
-
Rockaffellar, T.1
-
29
-
-
0034187944
-
An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions
-
M.V. Solodov, B.F. Svaiter, An inexact hybrid generalized proximal point algorithm and some new results on the theory of Bregman functions, Math. Oper. Res 25 (2000) 214-230.
-
(2000)
Math. Oper. Res
, vol.25
, pp. 214-230
-
-
Solodov, M.V.1
Svaiter, B.F.2
-
30
-
-
0003968346
-
-
New York, NY, USA
-
H. Stark, Y. Yang, Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics, Wiley, New York, NY, USA, 1998
-
(1998)
Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics, Wiley
-
-
Stark, H.1
Yang, Y.2
-
31
-
-
0001682125
-
Approximation of fixed points of nonexpansive mappings
-
R. Wittmann, Approximation of fixed points of nonexpansive mappings, Arch. Math. 58 (1992) 486-491.
-
(1992)
Arch. Math.
, vol.58
, pp. 486-491
-
-
Wittmann, R.1
|