-
1
-
-
0011353229
-
An interior points algorithm for the convex feasibility problem
-
R. Aharoni, A. Berman, Y. Censor, An interior points algorithm for the convex feasibility problem, Adv. Appl. Math. 4 (1983) 479-489.
-
(1983)
Adv. Appl. Math.
, vol.4
, pp. 479-489
-
-
Aharoni, R.1
Berman, A.2
Censor, Y.3
-
2
-
-
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
-
3
-
-
0037976260
-
Dykstra's alternating projection algorithm for two sets
-
H.H. Bauschke, J.M. Borwein, Dykstra's alternating projection algorithm for two sets, J. Approx. Theory 79 (1994) 418-443.
-
(1994)
J. Approx. Theory
, vol.79
, pp. 418-443
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
4
-
-
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
-
5
-
-
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
-
6
-
-
0035351666
-
A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces
-
H.H. Bauschke, P.L. Combettes, A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces, Math. Oper. Res. 26 (2001) 248-264.
-
(2001)
Math. Oper. Res.
, vol.26
, pp. 248-264
-
-
Bauschke, H.H.1
Combettes, P.L.2
-
7
-
-
0345138997
-
Construction of best Bregman approximations in reflexive Banach spaces
-
H.H. Bauschke, P.L. Combettes, Construction of best Bregman approximations in reflexive Banach spaces, Proc. Amer. Math. Soc. 131 (2003) 3757-3766.
-
(2003)
Proc. Amer. Math. Soc.
, vol.131
, pp. 3757-3766
-
-
Bauschke, H.H.1
Combettes, P.L.2
-
8
-
-
0042391294
-
Dykstra's algorithm with Bregman projections: A convergence proof
-
H.H. Bauschke, A.S. Lewis, Dykstra's algorithm with Bregman projections: a convergence proof, Optimization 48 (2000) 409-427.
-
(2000)
Optimization
, vol.48
, pp. 409-427
-
-
Bauschke, H.H.1
Lewis, A.S.2
-
9
-
-
0002436271
-
A method of finding projections onto the intersection of convex sets in Hilbert spaces
-
Springer, Berlin, Germany
-
J.P. Boyle, R.L. Dykstra, A method of finding projections onto the intersection of convex sets in Hilbert spaces, in: Advances in Order Restricted Statistical Inference, Lecture Notes in Statistics, Vol. 37, Springer, Berlin, Germany, 1986, pp. 28-47.
-
(1986)
Advances in Order Restricted Statistical Inference, Lecture Notes in Statistics
, vol.37
, pp. 28-47
-
-
Boyle, J.P.1
Dykstra, R.L.2
-
10
-
-
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 Comput. Math. Math. Phys. 7 (1967) 200-217.
-
(1967)
USSR Comput. Math. Math. Phys.
, vol.7
, pp. 200-217
-
-
Bregman, L.M.1
-
11
-
-
22844453400
-
Dykstra's algorithm as the nonlinear extension of Bregman's optimization method
-
L.M. Bregman, Y. Censor, S. Reich, Dykstra's algorithm as the nonlinear extension of Bregman's optimization method, J. Convex Analysis 6 (1999) 319-333.
-
(1999)
J. Convex Analysis
, vol.6
, pp. 319-333
-
-
Bregman, L.M.1
Censor, Y.2
Reich, S.3
-
12
-
-
0019587748
-
An iterative row-action method for interval convex programming
-
Y. Censor, A. Lent, An iterative row-action method for interval convex programming, J. Optim. Theory Appl. 34 (1981) 321-353.
-
(1981)
J. Optim. Theory Appl.
, vol.34
, pp. 321-353
-
-
Censor, Y.1
Lent, A.2
-
13
-
-
0042613100
-
The Dykstra algorithm with Bregman projections
-
Y. Censor, S. Reich, The Dykstra algorithm with Bregman projections, Comm. Appl. Anal. 2 (1998) 407-419.
-
(1998)
Comm. Appl. Anal.
, vol.2
, pp. 407-419
-
-
Censor, Y.1
Reich, S.2
-
14
-
-
0003495409
-
-
Oxford University Press, New York, NY, USA
-
Y. Censor, 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
-
15
-
-
0027579732
-
Signal recovery by best feasible approximation
-
P.L. Combettes, Signal recovery by best feasible approximation, IEEE Trans. Image Process. IP-2 (1993) 269-271.
-
(1993)
IEEE Trans. Image Process. IP-2
, pp. 269-271
-
-
Combettes, P.L.1
-
16
-
-
0033889575
-
Strong convergence of block-iterative outer approximation methods for convex optimization
-
P.L. Combettes, Strong convergence of block-iterative outer approximation methods for convex optimization, SIAM J. Control Optim. 38 (2000) 538-565.
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 538-565
-
-
Combettes, P.L.1
-
17
-
-
0343456142
-
Finding projections onto the intersection of convex sets in Hilbert spaces
-
G. Crombez, Finding projections onto the intersection of convex sets in Hilbert spaces, Numer. Funct. Anal. Optim. 16 (1995) 637-652.
-
(1995)
Numer. Funct. Anal. Optim.
, vol.16
, pp. 637-652
-
-
Crombez, G.1
-
19
-
-
0003397420
-
Best Approximation in Inner Product Spaces
-
Springer, New York, NY, USA
-
F. Deutsch, Best Approximation in Inner Product Spaces, Springer, New York, NY, USA, 2001.
-
(2001)
-
-
Deutsch, F.1
-
20
-
-
0002969298
-
The rate of convergence of Dykstra's cyclic projections algorithm: The polyhedral case
-
F. Deutsch, H. Hundal, The rate of convergence of Dykstra's cyclic projections algorithm: the polyhedral case, Numer. Funct. Anal. Optim. 15 (1994) 537-565.
-
(1994)
Numer. Funct. Anal. Optim.
, vol.15
, pp. 537-565
-
-
Deutsch, F.1
Hundal, H.2
-
21
-
-
84948499836
-
An algorithm for restricted least squares regression
-
R.L. Dykstra, An algorithm for restricted least squares regression, J. Amer. Statist. Assoc. 78 (1983) 837-842.
-
(1983)
J. Amer. Statist. Assoc.
, vol.78
, pp. 837-842
-
-
Dykstra, R.L.1
-
22
-
-
0010015340
-
An iterative procedure for obtaining I-projections onto the intersection of convex sets
-
R.L. Dykstra, An iterative procedure for obtaining I-projections onto the intersection of convex sets, Ann. Probab. 13 (1985) 975-984.
-
(1985)
Ann. Probab.
, vol.13
, pp. 975-984
-
-
Dykstra, R.L.1
-
23
-
-
0020632976
-
An outer approximation algorithm for solving general convex programs
-
M. Fukushima, An outer approximation algorithm for solving general convex programs, Oper. Res. 31 (1983) 101-113.
-
(1983)
Oper. Res.
, vol.31
, pp. 101-113
-
-
Fukushima, M.1
-
24
-
-
0022717559
-
A relaxed projection method for variational inequalities
-
M. Fukushima, A relaxed projection method for variational inequalities, Math. Programing 35 (1986) 58-70.
-
(1986)
Math. Programing
, vol.35
, pp. 58-70
-
-
Fukushima, M.1
-
25
-
-
0001886656
-
A cyclic projection algorithm via duality
-
N. Gaffke, R. Mathar, A cyclic projection algorithm via duality, Metrika 36 (1989) 29-54.
-
(1989)
Metrika
, vol.36
, pp. 29-54
-
-
Gaffke, N.1
Mathar, R.2
-
26
-
-
0023860607
-
A successive projection method
-
S.-P. Han, A successive projection method, Math. Programming 40 (1988) 1-14.
-
(1988)
Math. Programming
, vol.40
, pp. 1-14
-
-
Han, S.-P.1
-
27
-
-
0023966802
-
A parallel algorithm for a class of convex programs
-
S.-P. Han, G. Lou, A parallel algorithm for a class of convex programs, SIAM J. Control Optim. 26 (1988) 345-355.
-
(1988)
SIAM J. Control Optim.
, vol.26
, pp. 345-355
-
-
Han, S.-P.1
Lou, G.2
-
28
-
-
0007763842
-
Sur les Inéquations Variationnelles et la Minimisation de Fonctionnelles Convexes
-
Ph.D. Thesis, Université de Paris, Paris, France
-
Y. Haugazeau, Sur les Inéquations Variationnelles et la Minimisation de Fonctionnelles Convexes, Ph.D. Thesis, Université de Paris, Paris, France, 1968.
-
(1968)
-
-
Haugazeau, Y.1
-
29
-
-
0007136851
-
A quadratic programming procedure
-
(Erratum, ibid., p. 361)
-
C. Hildreth, A quadratic programming procedure, Naval Res. Logistics Quart. 4 (1957) 79-85 (Erratum, ibid., p. 361).
-
(1957)
Naval Res. Logistics Quart.
, vol.4
, pp. 79-85
-
-
Hildreth, C.1
-
30
-
-
0009208155
-
Two generalizations of Dykstra's cyclic projections algorithm
-
H. Hundal, F. Deutsch, Two generalizations of Dykstra's cyclic projections algorithm, Math. Programming 77 (1997) 335-355.
-
(1997)
Math. Programming
, vol.77
, pp. 335-355
-
-
Hundal, H.1
Deutsch, F.2
-
31
-
-
0023111682
-
A simultaneous iterative method for computing projections on polyhedra
-
A.N. Iusem, A.R. De Pierro, A simultaneous iterative method for computing projections on polyhedra, SIAM J. Control Optim. 25 (1987) 231-243.
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 231-243
-
-
Iusem, A.N.1
De Pierro, A.R.2
-
32
-
-
34249920356
-
On the convergence of Han's method for convex programming with quadratic objective
-
A. N. Iusem, A.R. De Pierro, On the convergence of Han's method for convex programming with quadratic objective, Math. Programming 52 (1991) 265-284.
-
(1991)
Math. Programming
, vol.52
, pp. 265-284
-
-
Iusem, A.N.1
De Pierro, A.R.2
-
33
-
-
27144477647
-
A row-action method for convex programming
-
A.N. Iusem, B.F. Svaiter, A row-action method for convex programming, Math. Programming 64 (1994) 149-171.
-
(1994)
Math. Programming
, vol.64
, pp. 149-171
-
-
Iusem, A.N.1
Svaiter, B.F.2
-
34
-
-
21844497048
-
Primal-dual row-action method for convex programming
-
A. N. Iusem, B.F. Svaiter, Primal-dual row-action method for convex programming, J. Optim. Theory Appl. 86 (1995) 73-112.
-
(1995)
J. Optim. Theory Appl.
, vol.86
, pp. 73-112
-
-
Iusem, A.N.1
Svaiter, B.F.2
-
35
-
-
0009571096
-
Extensions of Hildreth's row-action method for quadratic programming
-
A. Lent, Y. Censor, Extensions of Hildreth's row-action method for quadratic programming, SIAM J. Control Optim. 18 (1980) 444-454.
-
(1980)
SIAM J. Control Optim.
, vol.18
, pp. 444-454
-
-
Lent, A.1
Censor, Y.2
-
36
-
-
0004098975
-
Optimization by Vector Space Methods
-
Wiley, New York, NY, USA
-
D.G. Luenberger, Optimization by Vector Space Methods, Wiley, New York, NY, USA, 1969.
-
(1969)
-
-
Luenberger, D.G.1
-
37
-
-
85037808132
-
Eclatement de contraintes en parallèle pour la minimisation d'une forme quadratique
-
Springer, New York, NY, USA
-
G. Pierra, Eclatement de contraintes en parallèle pour la minimisation d'une forme quadratique, in: Lecture Notes in Computer Science, Vol. 41, Springer, New York, NY, USA, 1976, pp. 96-115.
-
(1976)
Lecture Notes in Computer Science
, vol.41
, pp. 96-115
-
-
Pierra, G.1
-
38
-
-
0021201713
-
Decomposition through formalization in a product space
-
G. Pierra, Decomposition through formalization in a product space, Math. Programming 28 (1984) 96-115.
-
(1984)
Math. Programming
, vol.28
, pp. 96-115
-
-
Pierra, G.1
-
39
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ, USA
-
R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, USA, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
40
-
-
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
-
41
-
-
0027576766
-
Dual coordinate ascent methods for non-strictly convex minimization
-
P. Tseng, Dual coordinate ascent methods for non-strictly convex minimization, Math. Programming 59 (1993) 231-247.
-
(1993)
Math. Programming
, vol.59
, pp. 231-247
-
-
Tseng, P.1
|