-
1
-
-
0000026159
-
The relaxation method for linear inequalities
-
S. AGMON, The relaxation method for linear inequalities, Canad. J. Math., 6 (1954), pp. 382-392.
-
(1954)
Canad. J. Math.
, vol.6
, pp. 382-392
-
-
Agmon, S.1
-
2
-
-
0011353229
-
An interior points algorithm for the convex feasibility problem
-
R. AHARONI, A. BERMAN, AND Y. CENSOR, An interior points algorithm for the convex feasibility problem, Adv. Appl. Math., 4 (1983), pp. 479-489.
-
(1983)
Adv. Appl. Math.
, vol.4
, pp. 479-489
-
-
Aharoni, R.1
Berman, A.2
Censor, Y.3
-
3
-
-
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 Appl., 120 (1989), pp. 165-175.
-
(1989)
Linear Algebra Appl.
, vol.120
, pp. 165-175
-
-
Aharoni, R.1
Censor, Y.2
-
4
-
-
0023346450
-
A generalization of Polyak's convergence result for subgradient optimization
-
E. ALLEN, R. HELGASON, J. KENNINGTON, AND B. SHETTY, A generalization of Polyak's convergence result for subgradient optimization, Math. Programming, 37 (1987), pp. 309-317.
-
(1987)
Math. Programming
, vol.37
, pp. 309-317
-
-
Allen, E.1
Helgason, R.2
Kennington, J.3
Shetty, B.4
-
5
-
-
0013467971
-
Convergence of random products of contractions in Hilbert space
-
Szeged
-
I. AMEMIYA AND T. ANDO, Convergence of random products of contractions in Hilbert space, Acta Sci. Math. (Szeged), 26 (1965), pp. 239-244.
-
(1965)
Acta Sci. Math.
, vol.26
, pp. 239-244
-
-
Amemiya, I.1
Ando, T.2
-
6
-
-
0021618633
-
Connections between the Cimmino-method and the Kaczmarz-methodfor the solution of singular and regular systems of equations
-
R. ANSORGE, Connections between the Cimmino-method and the Kaczmarz-methodfor the solution of singular and regular systems of equations. Computing, 33 (1984), pp. 367-375.
-
(1984)
Computing
, vol.33
, pp. 367-375
-
-
Ansorge, R.1
-
8
-
-
0002444599
-
Une remarque sur le comportement asymptotique des semigroupes non lineaires
-
In French
-
J. B. BAILLON AND H. BREZIS, Une remarque sur le comportement asymptotique des semigroupes non lineaires, Houston J. Math., 2 (1976), pp. 5-7. (In French.)
-
(1976)
Houston J. Math.
, vol.2
, pp. 5-7
-
-
Baillon, J.B.1
Brezis, H.2
-
9
-
-
0002057574
-
On the asymptotic behaviour of nonexpansive mappings and semigroups in Banach spaces
-
J. B. BAILLON, R. E. BRUCK, AND S. REICH, On the asymptotic behaviour of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math., 4 (1978), pp. 1-9.
-
(1978)
Houston J. Math.
, vol.4
, pp. 1-9
-
-
Baillon, J.B.1
Bruck, R.E.2
Reich, S.3
-
10
-
-
0007419755
-
Convergence of sequences of sets
-
C. Micchelli, D. Pai, and B. Limaye, eds., Birkhäuser, Basel
-
M. BARONTI AND P. L. PAPINI, Convergence of sequences of sets, in Methods of Functional Analysis in Approximation Theory, C. Micchelli, D. Pai, and B. Limaye, eds., Birkhäuser, Basel, 1986, pp. 135-155. Internat. Ser. Numer. Math., Vol. 76. Proceedings of the International Conference held at the Indian Institute of Technology, Bombay, December 16-20, 1985.
-
(1986)
Methods of Functional Analysis in Approximation Theory
, pp. 135-155
-
-
Baronti, M.1
Papini, P.L.2
-
11
-
-
85033842171
-
Proceedings of the International Conference held at the Indian Institute of Technology
-
Bombay, December 16-20
-
M. BARONTI AND P. L. PAPINI, Convergence of sequences of sets, in Methods of Functional Analysis in Approximation Theory, C. Micchelli, D. Pai, and B. Limaye, eds., Birkhäuser, Basel, 1986, pp. 135-155. Internat. Ser. Numer. Math., Vol. 76. Proceedings of the International Conference held at the Indian Institute of Technology, Bombay, December 16-20, 1985.
-
(1985)
Internat. Ser. Numer. Math.
, vol.76
-
-
-
12
-
-
0030586523
-
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
-
to appear
-
H. H. BAUSCHKE, The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space, J. Math. Anal. Appl., 1996, to appear.
-
(1996)
J. Math. Anal. Appl.
-
-
Bauschke, H.H.1
-
13
-
-
0000746478
-
A norm convergence result on random products of relaxed projections in Hilbert space
-
_, A norm convergence result on random products of relaxed projections in Hilbert space, Trans. Amer. Math. Soc., 347 (1995), pp. 1365-1373.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 1365-1373
-
-
-
14
-
-
0001448913
-
On the convergence of von Neumann's alternating projection algorithm for two sets
-
H. H. BAUSCHKE AND J. M. BORWEIN, On the convergence of von Neumann's alternating projection algorithm for two sets, Set-Valued Anal., 1 (1993), pp. 185-212.
-
(1993)
Set-Valued Anal.
, vol.1
, pp. 185-212
-
-
Bauschke, H.H.1
Borwein, J.M.2
-
15
-
-
5744239352
-
The method of cyclic projections for closed convex sets in Hilbert space
-
Y. Censor and S. Reich, eds., Jerusalem, Contemp. Math., to appear
-
H. H. BAUSCHKE, J. M. BORWEIN, AND A. S. LEWIS, The method of cyclic projections for closed convex sets in Hilbert space, Proc. of the Special Session on Optimization and Nonlinear Analysis, Y. Censor and S. Reich, eds., Jerusalem, 1995. Contemp. Math., to appear.
-
(1995)
Proc. of the Special Session on Optimization and Nonlinear Analysis
-
-
Bauschke, H.H.1
Borwein, J.M.2
Lewis, A.S.3
-
16
-
-
0002633798
-
Krasnoselski-Mann iterations in normed spaces
-
J. M. BORWEIN, S. REICH, AND I. SHAFRIR, Krasnoselski-Mann iterations in normed spaces, Canad. Math. Bull., 35 (1992), pp. 21-28.
-
(1992)
Canad. Math. Bull.
, vol.35
, pp. 21-28
-
-
Borwein, J.M.1
Reich, S.2
Shafrir, I.3
-
17
-
-
0001336448
-
The method of successive projection for finding a common point of convex sets
-
L. M. BREGMAN, The method of successive projection for finding a common point of convex sets, Soviet Math. Dokl., 6 (1965), pp. 688-692.
-
(1965)
Soviet Math. Dokl.
, vol.6
, pp. 688-692
-
-
Bregman, L.M.1
-
18
-
-
0000887243
-
Convergence theorems for sequences of nonlinear operators in Banach spaces
-
F. E. BROWDER, Convergence theorems for sequences of nonlinear operators in Banach spaces, Math. Z., 100 (1967), pp. 201-225.
-
(1967)
Math. Z.
, vol.100
, pp. 201-225
-
-
Browder, F.E.1
-
19
-
-
5244239809
-
Random products of contractions in metric and Banach spaces
-
R. E. BRUCK, Random products of contractions in metric and Banach spaces, J. Math. Anal. Appl., 88 (1982), pp. 319-332.
-
(1982)
J. Math. Anal. Appl.
, vol.88
, pp. 319-332
-
-
Bruck, R.E.1
-
20
-
-
0000256894
-
Nonexpansive projections and resolvents of accretive operators in Banach spaces
-
R. E. BRUCK AND S. REICH, Nonexpansive projections and resolvents of accretive operators in Banach spaces, Houston J. Math., 3 (1977), pp. 459-470.
-
(1977)
Houston J. Math.
, vol.3
, pp. 459-470
-
-
Bruck, R.E.1
Reich, S.2
-
21
-
-
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, J. Comput. Math., 32 (1990), pp. 79-94.
-
(1990)
J. Comput. Math.
, vol.32
, pp. 79-94
-
-
Butnariu, D.1
Censor, Y.2
-
22
-
-
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 Rev., 23 (1981), pp. 444-466.
-
(1981)
SIAM Rev.
, vol.23
, pp. 444-466
-
-
Censor, Y.1
-
23
-
-
77956923291
-
Iterative methods for the convex feasibility problem
-
M. Rosenfeld and J. Zaks, eds., North-Holland, Amsterdam
-
_, Iterative methods for the convex feasibility problem, in Convexity and Graph Theory, M. Rosenfeld and J. Zaks, eds., North-Holland, Amsterdam, 1984, pp. 83-91. Proceedings of the Conference on Convexity and Graph Theory, Israel, March 1981. Ann. Discrete Math., Vol. 20.
-
(1984)
Convexity and Graph Theory
, pp. 83-91
-
-
-
24
-
-
85033856657
-
Proceedings of the Conference on Convexity and Graph Theory
-
Israel, March
-
_, Iterative methods for the convex feasibility problem, in Convexity and Graph Theory, M. Rosenfeld and J. Zaks, eds., North-Holland, Amsterdam, 1984, pp. 83-91. Proceedings of the Conference on Convexity and Graph Theory, Israel, March 1981. Ann. Discrete Math., Vol. 20.
-
(1981)
Ann. Discrete Math.
, vol.20
-
-
-
25
-
-
34250085515
-
Parallel application of block-iterative methods in medical imaging and radiation therapy
-
_, Parallel application of block-iterative methods in medical imaging and radiation therapy, Math. Programming, 42 (1988), pp. 307-325.
-
(1988)
Math. Programming
, vol.42
, pp. 307-325
-
-
-
26
-
-
0004464829
-
On variable block algebraic reconstruction techniques
-
G. Herman, A. Louis, and F. Natterer, eds., Springer, New York
-
_, On variable block algebraic reconstruction techniques, in Mathematical Methods in Tomography, G. Herman, A. Louis, and F. Natterer, eds., Springer, New York, 1990, pp. 133-140. Proceedings of a Conference held in Oberwolfach, Germany, June 11-15. Lecture Notes in Math., Vol. 1497.
-
(1990)
Mathematical Methods in Tomography
, pp. 133-140
-
-
-
27
-
-
85033842670
-
Proceedings of a Conference held in Oberwolfach
-
Germany, June 11-15
-
_, On variable block algebraic reconstruction techniques, in Mathematical Methods in Tomography, G. Herman, A. Louis, and F. Natterer, eds., Springer, New York, 1990, pp. 133-140. Proceedings of a Conference held in Oberwolfach, Germany, June 11-15. Lecture Notes in Math., Vol. 1497.
-
Lecture Notes in Math.
, vol.1497
-
-
-
28
-
-
0000488266
-
On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning
-
Y. CENSOR, M. D. ALTSCHULER, AND W. D. POWLIS, On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning, Inverse Problems, 4 (1988), pp. 607-623.
-
(1988)
Inverse Problems
, vol.4
, pp. 607-623
-
-
Censor, Y.1
Altschuler, M.D.2
Powlis, W.D.3
-
29
-
-
0001464734
-
New methods for linear inequalities
-
Y. CENSOR AND T. ELFVING, New methods for linear inequalities. Linear Algebra Appl., 42 (1982), pp. 199-211.
-
(1982)
Linear Algebra Appl.
, vol.42
, pp. 199-211
-
-
Censor, Y.1
Elfving, T.2
-
30
-
-
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, Appl. Numer. Math., 3 (1987), pp. 365-391.
-
(1987)
Appl. Numer. Math.
, vol.3
, pp. 365-391
-
-
Censor, Y.1
Herman, G.T.2
-
31
-
-
34250232993
-
Cyclic subgradient projections
-
Y. CENSOR AND A. LENT, Cyclic subgradient projections, Math. Programming, 24 (1982), pp. 233-235.
-
(1982)
Math. Programming
, vol.24
, pp. 233-235
-
-
Censor, Y.1
Lent, A.2
-
32
-
-
0001054069
-
Calcolo approssimate per le soluzioni dei sistemi di equazioni lineari
-
Roma, Consiglio Nazionale delle Ricerche. Ministero dell' Educazione nazionale
-
G. CIMMINO, Calcolo approssimate per le soluzioni dei sistemi di equazioni lineari, La Ricerca scientifica ed il Progresso tecnico nell' Economia nazionale (Roma), 9 (1938), pp. 326-333. Consiglio Nazionale delle Ricerche. Ministero dell' Educazione nazionale.
-
(1938)
La Ricerca Scientifica ed il Progresso Tecnico nell' Economia Nazionale
, vol.9
, pp. 326-333
-
-
Cimmino, G.1
-
33
-
-
0027541192
-
The foundations of set theoretic estimation
-
P. L. COMBETTES, The foundations of set theoretic estimation, Proc. IEEE, 81 (1993), pp. 182-208.
-
(1993)
Proc. IEEE
, vol.81
, pp. 182-208
-
-
Combettes, P.L.1
-
34
-
-
85033846623
-
Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections
-
to appear
-
_, Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projections, IEEE Trans. on Image Processing, 1996, to appear.
-
(1996)
IEEE Trans. on Image Processing
-
-
-
35
-
-
0028543165
-
Inconsistent signal feasibility problems: Least-squares solutions in a product space
-
_, Inconsistent signal feasibility problems: Least-squares solutions in a product space, IEEE Trans. Signal Processing, 42 (1994), pp. 2955-2966.
-
(1994)
IEEE Trans. Signal Processing
, vol.42
, pp. 2955-2966
-
-
-
36
-
-
0001488677
-
Construction d'un point fixe commun à une famille de contractions fermes
-
_, Construction d'un point fixe commun à une famille de contractions fermes, C. R. Acad. Sci. Paris Sér. I Math., 320 (1995), pp. 1385-1390.
-
(1995)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.320
, pp. 1385-1390
-
-
-
37
-
-
77954607855
-
The Convex Feasibility Problem in Image Recovery
-
Academic Press, New York
-
_, The Convex Feasibility Problem in Image Recovery, Vol. 95 of Advances in Imaging and Electron Physics, Academic Press, New York, 1995.
-
(1995)
Advances in Imaging and Electron Physics
, vol.95
-
-
-
38
-
-
85033838663
-
Hilbertian convex feasibility problem: Convergence of projection methods
-
to appear
-
_, Hilbertian convex feasibility problem: Convergence of projection methods, Appl. Math. Optim., 1996, to appear.
-
(1996)
Appl. Math. Optim.
-
-
-
40
-
-
0000621610
-
Iterations of parallel convex projections in Hilbert space
-
_, Iterations of parallel convex projections in Hilbert space, Numer. Funct. Anal. Optim., 15 (1994), pp. 225-243.
-
(1994)
Numer. Funct. Anal. Optim.
, vol.15
, pp. 225-243
-
-
-
41
-
-
0001020931
-
Image recovery by convex combinations of projections
-
G. CROMBEZ, Image recovery by convex combinations of projections, J. Math. Anal. Appl., 155 (1991), pp. 413-419.
-
(1991)
J. Math. Anal. Appl.
, vol.155
, pp. 413-419
-
-
Crombez, G.1
-
42
-
-
0039336108
-
A simultaneous projections method for linear inequalities
-
A. R. DE PIERRO AND A. N. IUSEM, A simultaneous projections method for linear inequalities, Linear Algebra Appl., 64 (1985), pp. 243-253.
-
(1985)
Linear Algebra Appl.
, vol.64
, pp. 243-253
-
-
De Pierro, A.R.1
Iusem, A.N.2
-
43
-
-
0004895718
-
A finitely convergent "row-action" method for the convex feasibility problem
-
_, A finitely convergent "row-action" method for the convex feasibility problem, Appl. Math. Optim., 17 (1988), pp. 225-235.
-
(1988)
Appl. Math. Optim.
, vol.17
, pp. 225-235
-
-
-
44
-
-
38249019931
-
On the asymptotic behaviour of some alternate smoothing series expansion iterative methods
-
_, On the asymptotic behaviour of some alternate smoothing series expansion iterative methods, Linear Algebra Appl., 130 (1990), pp. 3-24.
-
(1990)
Linear Algebra Appl.
, vol.130
, pp. 3-24
-
-
-
45
-
-
0010957931
-
Rate of convergence of the method of alternating projections
-
Parametric Optimization and Approximation, B. Brosowski and F. Deutsch, eds., Birkhäuser, Basel
-
F. DEUTSCH, Rate of convergence of the method of alternating projections, in Parametric Optimization and Approximation, B. Brosowski and F. Deutsch, eds., Birkhäuser, Basel, 1983, pp. 96-107. Internat. Ser. Numer. Math., Vol. 76.
-
(1983)
Internat. Ser. Numer. Math.
, vol.76
, pp. 96-107
-
-
Deutsch, F.1
-
46
-
-
0002441985
-
The angle between subspaces of a Hilbert space
-
S. P. Singh, ed., Kluwer Academic
-
_, The angle between subspaces of a Hilbert space, in Approximation Theory, Wavelets and Applications, S. P. Singh, ed., Kluwer Academic, 1995, pp. 107-130.
-
(1995)
Approximation Theory, Wavelets and Applications
, pp. 107-130
-
-
-
47
-
-
0001770096
-
The method of alternating orthogonal projections
-
S. Singh, ed., Kluwer Academic
-
_, The method of alternating orthogonal projections, in Approximation Theory, Spline Functions and Applications, S. Singh, ed., Kluwer Academic, 1992, pp. 105-121. Proceedings of a Conference held in the Hotel villa del Mare, Maratea, Italy between April 28, 1991 and May 9, 1991.
-
(1992)
Approximation Theory, Spline Functions and Applications
, pp. 105-121
-
-
-
48
-
-
85033835036
-
-
Maratea, Italy between April 28, 1991 and May 9
-
_, The method of alternating orthogonal projections, in Approximation Theory, Spline Functions and Applications, S. Singh, ed., Kluwer Academic, 1992, pp. 105-121. Proceedings of a Conference held in the Hotel villa del Mare, Maratea, Italy between April 28, 1991 and May 9, 1991.
-
(1991)
Proceedings of a Conference Held in the Hotel Villa del Mare
-
-
-
49
-
-
85033871085
-
The rate of convergence for the method of alternating projections II
-
to appear
-
F. DEUTSCH AND H. HUNDAL, The rate of convergence for the method of alternating projections II, J. Math. Anal. Appl., to appear.
-
J. Math. Anal. Appl.
-
-
Deutsch, F.1
Hundal, H.2
-
50
-
-
0025492255
-
Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space
-
B. DJAFARI ROUHANI, Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space, J. Math. Anal. Appl., 151 (1990), pp. 226-235.
-
(1990)
J. Math. Anal. Appl.
, vol.151
, pp. 226-235
-
-
Djafari Rouhani, B.1
-
51
-
-
0023363030
-
A parallel subgradient method for the convex feasibility problem
-
L. T. DOS SANTOS, A parallel subgradient method for the convex feasibility problem, J. Comput. Appl. Math., 18 (1987), pp. 307-320.
-
(1987)
J. Comput. Appl. Math.
, vol.18
, pp. 307-320
-
-
Dos Santos, L.T.1
-
52
-
-
0040663105
-
Unrestricted iterations of nonexpansive mappings in Hilbert space
-
J. M. DYE AND S. REICH, Unrestricted iterations of nonexpansive mappings in Hilbert space, Nonlinear Anal., 18 (1992), pp. 199-207.
-
(1992)
Nonlinear Anal.
, vol.18
, pp. 199-207
-
-
Dye, J.M.1
Reich, S.2
-
53
-
-
0002416978
-
Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
-
P. P. EGGERMONT, G. T. HERMAN, and A. LENT, Iterative algorithms for large partitioned linear systems, with applications to image reconstruction, Linear Algebra Appl., 40 (1981), pp. 37-67.
-
(1981)
Linear Algebra Appl.
, vol.40
, pp. 37-67
-
-
Eggermont, P.P.1
Herman, G.T.2
Lent, A.3
-
55
-
-
0000695406
-
Convergence of sequential and asynchronous nonlinear paracontractions
-
L. ELSNER, I. KOLTRACHT, AND M. NEUMANN, Convergence of sequential and asynchronous nonlinear paracontractions, Numer. Math., 62 (1992), pp. 305-319.
-
(1992)
Numer. Math.
, vol.62
, pp. 305-319
-
-
Elsner, L.1
Koltracht, I.2
Neumann, M.3
-
56
-
-
5744254712
-
Fejér mappings and convex programming
-
I. I. EREMIN, Fejér mappings and convex programming, Siberian Math. J., 10 (1969), pp. 762-772.
-
(1969)
Siberian Math. J.
, vol.10
, pp. 762-772
-
-
Eremin, I.I.1
-
57
-
-
0012088394
-
Relaxed outer projections, weighted averages and convex feasibility
-
S. D. FLÅM AND J. ZOWE, Relaxed outer projections, weighted averages and convex feasibility, BIT, 30 (1990), pp. 289-300.
-
(1990)
BIT
, vol.30
, pp. 289-300
-
-
Flåm, S.D.1
Zowe, J.2
-
58
-
-
84968486297
-
On certain inequalities and characteristic value problems for analytic functions and for functions of two variables
-
K. FRIEDRICHS, On certain inequalities and characteristic value problems for analytic functions and for functions of two variables, Trans. Amer. Math. Soc., 41 (1937), pp. 321-364.
-
(1937)
Trans. Amer. Math. Soc.
, vol.41
, pp. 321-364
-
-
Friedrichs, K.1
-
59
-
-
0001001503
-
Parallel projected aggregation methods for solving the convex feasibility problem
-
U. GARCÍA-PALOMARES, Parallel projected aggregation methods for solving the convex feasibility problem, SIAM J. Optim., 3 (1993), pp. 882-900.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 882-900
-
-
García-Palomares, U.1
-
60
-
-
51249189005
-
An example concerning fixed points
-
A. GENEL AND J. LINDENSTRAUSS, An example concerning fixed points, Israel J. Math., 22 (1975), pp. 81-86.
-
(1975)
Israel J. Math.
, vol.22
, pp. 81-86
-
-
Genel, A.1
Lindenstrauss, J.2
-
61
-
-
0001085656
-
Iteration processes for nonexpansive mappings
-
Topological Methods in Nonlinear Functional Analysis, S. Singh, S. Thomeier, and B. Watson, eds., American Mathematical Society
-
K. GOEBEL AND W. A. KIRK, Iteration processes for nonexpansive mappings, in Topological Methods in Nonlinear Functional Analysis, S. Singh, S. Thomeier, and B. Watson, eds., American Mathematical Society, 1983, pp. 115-123. Contemp. Math., Vol. 21.
-
(1983)
Contemp. Math.
, vol.21
, pp. 115-123
-
-
Goebel, K.1
Kirk, W.A.2
-
62
-
-
0004213043
-
Topics in Metric Fixed Point Theory
-
Cambridge University Press
-
_, Topics in Metric Fixed Point Theory, Cambridge University Press, 1990. Cambridge Stud. Adv. Math., Vol. 28.
-
(1990)
Cambridge Stud. Adv. Math.
, vol.28
-
-
-
63
-
-
0014905513
-
Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography
-
R. GORDON, R. BENDER, AND G. T. HERMAN, Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography, J. Theoret. Biol., 29 (1970), pp. 471-481.
-
(1970)
J. Theoret. Biol.
, vol.29
, pp. 471-481
-
-
Gordon, R.1
Bender, R.2
Herman, G.T.3
-
64
-
-
33845708830
-
The method of projections for finding the common point of convex sets
-
L. G. GUBIN, B. T. POLYAK, AND E. V. RAIK, The method of projections for finding the common point of convex sets, Comput. Math. Math. Phys., 7(6) (1967), pp. 1-24.
-
(1967)
Comput. Math. Math. Phys.
, vol.7
, Issue.6
, pp. 1-24
-
-
Gubin, L.G.1
Polyak, B.T.2
Raik, E.V.3
-
65
-
-
0002477272
-
The product of projection operators
-
Szeged
-
I. HALPERIN, The product of projection operators, Acta Sci. Math. (Szeged), 23 (1962), pp. 96-99.
-
(1962)
Acta Sci. Math.
, vol.23
, pp. 96-99
-
-
Halperin, I.1
-
66
-
-
84894234564
-
Fixed points of nonexpanding maps
-
B. HALPERN, Fixed points of nonexpanding maps, Bull. Amer. Math. Soc., 73 (1967), pp. 957-961.
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 957-961
-
-
Halpern, B.1
-
68
-
-
0017933649
-
Relaxation methods for image reconstruction
-
G. T. HERMAN, A. LENT, AND P. H. LUTZ, Relaxation methods for image reconstruction, Comm. ACM, 21 (1978), pp. 152-158.
-
(1978)
Comm. ACM
, vol.21
, pp. 152-158
-
-
Herman, G.T.1
Lent, A.2
Lutz, P.H.3
-
69
-
-
0042756719
-
Multilevel image reconstruction
-
A. Rosenfeld, ed., Springer, New York
-
G. T. HERMAN, H. LEVKOWITZ, H. K. TUY, AND S. MCCORMICK, Multilevel image reconstruction, in Multiresolution Image Processing and Analysis, A. Rosenfeld, ed., Springer, New York, 1984, pp. 121-135. Based on a workshop held in Leesburg, VA, July 19-21, 1982. Springer Ser. Inform. Sci., Vol. 12.
-
(1984)
Multiresolution Image Processing and Analysis
, pp. 121-135
-
-
Herman, G.T.1
Levkowitz, H.2
Tuy, H.K.3
Mccormick, S.4
-
70
-
-
85033834624
-
-
Based on a workshop held in Leesburg, VA, July 19-21
-
G. T. HERMAN, H. LEVKOWITZ, H. K. TUY, AND S. MCCORMICK, Multilevel image reconstruction, in Multiresolution Image Processing and Analysis, A. Rosenfeld, ed., Springer, New York, 1984, pp. 121-135. Based on a workshop held in Leesburg, VA, July 19-21, 1982. Springer Ser. Inform. Sci., Vol. 12.
-
(1982)
Springer Ser. Inform. Sci.
, vol.12
-
-
-
71
-
-
0000699491
-
On approximate solutions of systems of linear inequalities
-
A. J. HOFFMAN, On approximate solutions of systems of linear inequalities, J. Research of the National Bureau of Standards, 49 (1952), pp. 263-265.
-
(1952)
J. Research of the National Bureau of Standards
, vol.49
, pp. 263-265
-
-
Hoffman, A.J.1
-
73
-
-
0040031826
-
Theory of Extremal Problems
-
North-Holland, Amsterdam
-
A. D. IOFFE AND V. M. TIHOMIROV, Theory of Extremal Problems, North-Holland, Amsterdam, 1979. Stud. Math. Appl., Vol. 6.
-
(1979)
Stud. Math. Appl.
, vol.6
-
-
Ioffe, A.D.1
Tihomirov, V.M.2
-
76
-
-
0001554939
-
Angenäherte Auflösung von Systemen linearer Gleichungen
-
Classe des Sciences mathématiques et naturelles. Séries A: Sciences mathématiques, Cracovie, Imprimerie de l'Université
-
S. KACZMARZ, Angenäherte Auflösung von Systemen linearer Gleichungen, Bulletin internationel de l'Académie Polonaise des Sciences et des Lettres. Classe des Sciences mathématiques et naturelles. Séries A: Sciences mathématiques, (1937), pp. 355-357. Cracovie, Imprimerie de l'Université.
-
(1937)
Bulletin Internationel de l'Académie Polonaise des Sciences et des Lettres
, pp. 355-357
-
-
Kaczmarz, S.1
-
77
-
-
0345295872
-
Block-iterative surrogate projection methods for convex feasibility problems
-
K. C. KIWIEL, Block-iterative surrogate projection methods for convex feasibility problems, Linear Algebra Appl., 215 (1995), pp. 225-260.
-
(1995)
Linear Algebra Appl.
, vol.215
, pp. 225-260
-
-
Kiwiel, K.C.1
-
78
-
-
0030110299
-
The efficiency of subgradient projection methods for convex optimization, part I: General level methods
-
_, The efficiency of subgradient projection methods for convex optimization, part I: General level methods, SIAM J. Control Optim., 34 (1996), pp. 660-676.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 660-676
-
-
-
79
-
-
0030104971
-
The efficiency of subgradient projection methods for convex optimization, part II: Implementations and extensions
-
_, The efficiency of subgradient projection methods for convex optimization, part II: Implementations and extensions, SIAM J. Control Optim., 34 (1996), pp. 677-697.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 677-697
-
-
-
80
-
-
85033852238
-
Surrogate projection methods for finding fixed points of firmly nonexpansive mappings
-
to appear
-
K. C. KIWIEL AND B. LOPUCH, Surrogate projection methods for finding fixed points of firmly nonexpansive mappings, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Kiwiel, K.C.1
Lopuch, B.2
-
82
-
-
0000736340
-
Approximation de points fixes de contractions
-
Paris
-
P.-L. LIONS, Approximation de points fixes de contractions, Comptes Rendus des Séances de l'Académie des Sciences, Séries A-B, Paris, 284 (1977), pp. 1357-1359.
-
(1977)
Comptes Rendus des Séances de l'Académie des Sciences, Séries A-B
, vol.284
, pp. 1357-1359
-
-
Lions, P.-L.1
-
83
-
-
0021502547
-
Convergence of the cyclic relaxation method for linear inequalities
-
J. MANDEL, Convergence of the cyclic relaxation method for linear inequalities, Math. Programming, 30 (1984), pp. 218-228.
-
(1984)
Math. Programming
, vol.30
, pp. 218-228
-
-
Mandel, J.1
-
84
-
-
84966244659
-
The solution by iteration of nonlinear equations in Hilbert spaces
-
S. MARUSTER, The solution by iteration of nonlinear equations in Hilbert spaces, Proc. Amer. Math. Soc., 63 (1977), pp. 69-73.
-
(1977)
Proc. Amer. Math. Soc.
, vol.63
, pp. 69-73
-
-
Maruster, S.1
-
85
-
-
49749202269
-
On a relaxation method of solving systems of linear inequalities
-
Y. MERZLYAKOV, On a relaxation method of solving systems of linear inequalities, Comput. Math. Math. Phys., 2 (1963), pp. 504-510.
-
(1963)
Comput. Math. Math. Phys.
, vol.2
, pp. 504-510
-
-
Merzlyakov, Y.1
-
86
-
-
0001576735
-
Un cas des convergence des iterées d'une contraction d'un éspace hilbertien
-
Paris, In French
-
J. J. MOREAU, Un cas des convergence des iterées d'une contraction d'un éspace hilbertien, Comptes Rendus des Séances de l'Académie des Sciences, Séries A-B, Paris, 286 (1978), pp. 143-144. (In French.)
-
(1978)
Comptes Rendus des Séances de l'Académie des Sciences, Séries A-B
, vol.286
, pp. 143-144
-
-
Moreau, J.J.1
-
87
-
-
0010671416
-
Convergence of convex sets and of solutions of variational inequalities
-
U. MOSCO, Convergence of convex sets and of solutions of variational inequalities, Adv. Math., 3 (1969), pp. 510-585.
-
(1969)
Adv. Math.
, vol.3
, pp. 510-585
-
-
Mosco, U.1
-
88
-
-
0000026160
-
The relaxation method for linear inequalities
-
T. S. MOTZKIN AND I. J. SCHOENBERG, The relaxation method for linear inequalities, Canad. J. Math., 6 (1954), pp. 393-404.
-
(1954)
Canad. J. Math.
, vol.6
, pp. 393-404
-
-
Motzkin, T.S.1
Schoenberg, I.J.2
-
89
-
-
84968481460
-
Weak convergence of the sequence of successive approximations for nonexpansive mappings
-
Z. OPIAL, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), pp. 591-597.
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 591-597
-
-
Opial, Z.1
-
90
-
-
0021201713
-
Decomposition through formalization in a product space
-
G. PIERRA, Decomposition through formalization in a product space, Math. Programming, 28 (1984), pp. 96-115.
-
(1984)
Math. Programming
, vol.28
, pp. 96-115
-
-
Pierra, G.1
-
91
-
-
49849127729
-
Minimization of unsmooth functional
-
B. T. POLYAK, Minimization of unsmooth functional, Comput. Math. Math. Phys., 9 (1969), pp. 14-29.
-
(1969)
Comput. Math. Math. Phys.
, vol.9
, pp. 14-29
-
-
Polyak, B.T.1
-
92
-
-
84968480766
-
An embedding theorem for spaces of convex sets
-
H. RÅDSTRÖM, An embedding theorem for spaces of convex sets, Proc. Amer. Math. Soc., 3 (1952), pp. 165-169.
-
(1952)
Proc. Amer. Math. Soc.
, vol.3
, pp. 165-169
-
-
Rådström, H.1
-
94
-
-
0042240464
-
A general iterative scheme with applications to convex optimization and related fields
-
D. SCHOTT, A general iterative scheme with applications to convex optimization and related fields, Optimizaton, 22 (1991), pp. 885-902.
-
(1991)
Optimizaton
, vol.22
, pp. 885-902
-
-
Schott, D.1
-
95
-
-
84968519140
-
Approximating fixed points of nonexpansive mappings
-
H. F. SENTER AND W. G. DOTSON, JR., Approximating fixed points of nonexpansive mappings, Proc. Amer. Math. Soc., 44 (1974), pp. 375-380.
-
(1974)
Proc. Amer. Math. Soc.
, vol.44
, pp. 375-380
-
-
Senter, H.F.1
Dotson Jr., W.G.2
-
96
-
-
0026591008
-
An overview of convex projections theory and its applications to image recovery problems
-
M. I. SEZAN, An overview of convex projections theory and its applications to image recovery problems, Ultramicroscopy, 40 (1992), pp. 55-67.
-
(1992)
Ultramicroscopy
, vol.40
, pp. 55-67
-
-
Sezan, M.I.1
-
97
-
-
0007038231
-
Minimization Methods for Non-Differentiable Functions
-
Springer-Verlag, Berlin
-
N. Z. SHOR, Minimization Methods for Non-Differentiable Functions, Springer-Verlag, Berlin, 1985. Springer Ser. Comput. Math., Vol. 3.
-
(1985)
Springer Ser. Comput. Math.
, vol.3
-
-
Shor, N.Z.1
-
98
-
-
85033843112
-
-
personal communication
-
A. SIMONIČ, personal communication.
-
-
-
Simonič, A.1
-
99
-
-
84966200203
-
Practical and mathematical aspects of the problem of reconstructing objects from radiographs
-
K. T. SMITH, D. C. SOLMON, AND S. L. WAGNER, Practical and mathematical aspects of the problem of reconstructing objects from radiographs, Bull. Amer. Math. Soc., 83 (1977), pp. 1227-1270.
-
(1977)
Bull. Amer. Math. Soc.
, vol.83
, pp. 1227-1270
-
-
Smith, K.T.1
Solmon, D.C.2
Wagner, S.L.3
-
101
-
-
1542269554
-
Projection method for solving a linear system of linear equations and its applications
-
K. TANABE, Projection method for solving a linear system of linear equations and its applications, Numer. Math., 17 (1971), pp. 203-214.
-
(1971)
Numer. Math.
, vol.17
, pp. 203-214
-
-
Tanabe, K.1
-
102
-
-
0019677279
-
Reconstructing pictures from projections: On the convergence of the ART algorithm with relaxation
-
M. R. TRUMMER, Reconstructing pictures from projections: On the convergence of the ART algorithm with relaxation, Computing, 26 (1981), pp. 189-195.
-
(1981)
Computing
, vol.26
, pp. 189-195
-
-
Trummer, M.R.1
-
103
-
-
5744234249
-
SMART - An algorithm for reconstructing pictures from projections
-
_, SMART - an algorithm for reconstructing pictures from projections, Z. Angew. Math. Phys., 34 (1983), pp. 746-753.
-
(1983)
Z. Angew. Math. Phys.
, vol.34
, pp. 746-753
-
-
-
104
-
-
0021574737
-
A note on the ART of relaxation
-
_, A note on the ART of relaxation, Computing, 33 (1984), pp. 349-352.
-
(1984)
Computing
, vol.33
, pp. 349-352
-
-
-
105
-
-
0000320937
-
On the convergence of the products of firmly nonexpansive mappings
-
P. TSENG, On the convergence of the products of firmly nonexpansive mappings, SIAM J. Optim., 2 (1992), pp. 425-434.
-
(1992)
SIAM J. Optim.
, vol.2
, pp. 425-434
-
-
Tseng, P.1
-
106
-
-
0001361598
-
Convergence of best approximations in a smooth Banach space
-
M. TSUKADA, Convergence of best approximations in a smooth Banach space, J. Approx. Theory, 40 (1984), pp. 301-309.
-
(1984)
J. Approx. Theory
, vol.40
, pp. 301-309
-
-
Tsukada, M.1
-
107
-
-
5744247016
-
Introduction to discrete reconstruction methods in medical imaging
-
M. Viergever and A. Todd-Pokropek, eds., Berlin, Springer-Verlag
-
M. A. VIERGEVER, Introduction to discrete reconstruction methods in medical imaging, in Mathematics and Computer Science in Medical Imaging, M. Viergever and A. Todd-Pokropek, eds., Berlin, 1988, Springer-Verlag, pp. 43-65. NATO Advanced Science Institute Series F: Computer and Systems Sciences, Vol. 39. Proceedings, held in Il Ciocco, Italy, September 21-October 4, 1986.
-
(1988)
Mathematics and Computer Science in Medical Imaging
, pp. 43-65
-
-
Viergever, M.A.1
-
108
-
-
85033856475
-
-
Proceedings, held in Il Ciocco, Italy, September 21-October 4
-
M. A. VIERGEVER, Introduction to discrete reconstruction methods in medical imaging, in Mathematics and Computer Science in Medical Imaging, M. Viergever and A. Todd-Pokropek, eds., Berlin, 1988, Springer-Verlag, pp. 43-65. NATO Advanced Science Institute Series F: Computer and Systems Sciences, Vol. 39. Proceedings, held in Il Ciocco, Italy, September 21-October 4, 1986.
-
(1986)
NATO Advanced Science Institute Series F: Computer and Systems Sciences
, vol.39
-
-
-
109
-
-
0042224996
-
Functional Operators
-
Princeton University Press, Princeton, NJ
-
J. VON NEUMANN, Functional Operators, Vol. II. The Geometry of Orthogonal Spaces, Princeton University Press, Princeton, NJ, 1950. Ann. Math. Stud., Vol. 22. Reprint of mimeographed lecture notes first distributed in 1933.
-
(1950)
The Geometry of Orthogonal Spaces
, vol.2
-
-
Von Neumann, J.1
-
110
-
-
85033836977
-
-
Reprint of mimeographed lecture notes first distributed
-
J. VON NEUMANN, Functional Operators, Vol. II. The Geometry of Orthogonal Spaces, Princeton University Press, Princeton, NJ, 1950. Ann. Math. Stud., Vol. 22. Reprint of mimeographed lecture notes first distributed in 1933.
-
(1933)
Ann. Math. Stud.
, vol.22
-
-
-
111
-
-
0001682125
-
Approximation of fixed points of nonexpansive mappings
-
Basel
-
R. WITTMANN, Approximation of fixed points of nonexpansive mappings, Arch. Math. (Basel), 58 (1992), pp. 486-491.
-
(1992)
Arch. Math.
, vol.58
, pp. 486-491
-
-
Wittmann, R.1
-
112
-
-
0026634445
-
New iterative methods for linear inequalities
-
K. YANG AND K. G. MURTY, New iterative methods for linear inequalities, J. Optim. Theory Appl., 72 (1992), pp. 163-185.
-
(1992)
J. Optim. Theory Appl.
, vol.72
, pp. 163-185
-
-
Yang, K.1
Murty, K.G.2
-
113
-
-
0002605032
-
Mathematical theory of image restoration by the method of convex projections
-
H. Stark, ed., Academic Press, Orlando, FL
-
D. C. YOULA, Mathematical theory of image restoration by the method of convex projections, in Image Recovery: Theory and Applications, H. Stark, ed., Academic Press, Orlando, FL, 1987, pp. 29-77.
-
(1987)
Image Recovery: Theory and Applications
, pp. 29-77
-
-
Youla, D.C.1
-
114
-
-
38249018578
-
On deterministic convergence of iterations of relaxed projection operators
-
_, On deterministic convergence of iterations of relaxed projection operators, J. Vis. Commun. Image Rep., 1 (1990), pp. 12-20.
-
(1990)
J. Vis. Commun. Image Rep.
, vol.1
, pp. 12-20
-
-
-
115
-
-
0020191832
-
Image reconstruction by the method of convex projections: Part 1 - Theory
-
D. C. YOULA AND H. WEBB, Image reconstruction by the method of convex projections: Part 1 - theory, IEEE Trans. Medical Imaging, MI-1 (1982), pp. 81-94.
-
(1982)
IEEE Trans. Medical Imaging
, vol.MI-1
, pp. 81-94
-
-
Youla, D.C.1
Webb, H.2
-
116
-
-
0002130882
-
Projections on convex sets in Hilbert space and spectral theory
-
E. Zarantonello, ed., Academic Press, New York, University of Wisconsin. Mathematics Research Center. Publication No. 27
-
E. H. ZARANTONELLO, Projections on convex sets in Hilbert space and spectral theory, in Contributions to Nonlinear Functional Analysis, E. Zarantonello, ed., Academic Press, New York, 1971, pp. 237-424. University of Wisconsin. Mathematics Research Center. Publication No. 27.
-
(1971)
Contributions to Nonlinear Functional Analysis
, pp. 237-424
-
-
Zarantonello, E.H.1
|