Iterative projection onto convex sets using multiple Bregman distances

Inverse Problems

Volumn 15, Issue 5, 1999, Pages 1295-1313

  Byrne, Charles ^a  

^a University of Massachusetts Lowell   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001045771     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/15/5/313     Document Type: Article

References (18)

1. Bauschke H H and Borwein J M 1996 On projection algorithms for solving convex feasibility problems SIAM Rev. 38 367-426
2. Bregman L M 1967 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. 7 200-17
3. Byrne C L 1998 Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative (RBI) methods IEEE Trans. Image Process. 7 100-9
4. Byrne C L 1998 Iterative algorithms for deblurring and deconvolution with constraints Inverse Problems 14 1455-67
5. Byrne C L 1999 Iterative algorithms for the split-feasibility problem, submitted
6. Byrne C, Censor Y and Herman G T 1998 Convergence of block-iterative algorithms with relaxed Bregman paracontractions, submitted for publication
7. Censor Y and Zenios S A 1997 Parallel Optimization: Theory, Algorithms and Applications (New York: Oxford University Press)
8. Censor Y and Elfving T 1994 A inultiprojection algorithm using Bregman projections in a product space Numer. Algorithms 8 221-39
9. Censor Y and Reich S 1996 Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization Optimization 37 323-39
10. Combettes P L 1993 The foundations of set theoretic estimation Proc. IEEE 81 182-208
11. Elsner L, Koltracht I and Neumann M 1992 Convergence of sequential asynchronous nonlinear paracontractions Num. Math. 62 305-19
12. Gordon R, Bender R and Herman G T 1970 Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography J. Theor. Biol. 29 471-81
13. Gubin L G, Polyak B T and Raik E V 1967 The method of projections for finding the common point of convex sets USSR Comput. Math. Math. Phys. 7 1-24
14. Halperin I 1962 The product of projection operators Acta Sci. Math. 23 96-9
15. Kaczmarz S 1937 Angenäherte Auflösung von Systemen linearer Gleichungen Bull. Acad. Pol. Sci. Lett. A 35 355-7
16. Rockafellar R T 1970 Convex Analysis (Princeton, NJ: Princeton University Press)
17. von Neumann J 1950 Functional Operators, Volume II: The Geometry of Orthogonal Spaces (Annals of Mathematics Studies vol 22) (Princeton, NJ: Princeton University Press)
18. Youla D C 1987 Mathematical theory of image restoration by the method of convex projections Image Recovery: Theory and Applications ed H Stark (Orlando, FL: Academic) pp 29-78