List of selected publications
1. Bregman L. "The method of Successive Projection for Finding a Common Point of Convex Sets". Dokl. Akad. Nauk SSSR, v. 162, No. 3, 1965, p.p. 487-490. (English translation: Soviet Math. Dokl., 1965, p.p. 688-692).
2. Bregman L. "A Relaxation Method of Finding a Common Point of Convex Sets and its Application to Problems of Optimization". Dokl. Akad. Nauk SSSR, v. 171, No. 5, 1966, p.p. 1019-1022. (English translation: Soviet Math. Dokl., v. 7, 1966, p.p. 1578-1581).
3. Bregman L. "The Proof of the Sheleikhovsky's Method Convergence for the Problems with Transportation Restrictions". J. Wych. Math. and Math. Phys., v. 7, No. 1, 1967, p.p. 147-156.
4. Bregman L. "A Relaxation Method of Finding
a Common Point of Convex Sets and its Application to the Solution of Convex
Programming Problems". J. Wych. Math. and Math.Phys., v. 7, No. 3, 1967, p.p. 620-631.
5. Bregman L. "An Algorithm of Solution of
Convex Programming
Problems with the Relaxation Method". In
"Optimal Planning", 12.
6. Bregman L., Fokin
7. Bregman L. "On an Approach to the Integer
Programming Problems". In "Operations Research and
Simulation", 1,
8. Bregman L., Dvorkin S., Melekh E. "The
Optimal Planning of the Wire Factory". In "Operations
Research and Simulation", 1,
9. Bregman L., Fokin
10. Bregman L. "Some Properties of Nonnegative Matrices and their Permanents". Dokl. Akad. Nauk SSSR, v. 211, No. 1, 1973, p.p. 27-30. (English translation: Soviet Math. Dokl., v. 14, 1973, p.p. 945-949).
11. Bregman L.,
12. Bregman L., Fokin
13. Bregman L., Gribov A., Prygichev A., Sorokina
M., Surin S., Shindjakov A. "The System LP-LGU for Linear
Programming". In "Operations Research and
Simulation", 3,
14. Bregman L., Romanovsky J. "An
Apportionment and Optimization in Allocation Problems". In "Operations Research
and Simulation", 3,
15. Bregman L. "The Equivalent Strategies in
the Sums of Games". Vestnik LGU, Ser. Mathem., Mech., Astron., 13, 1974,
p.p. 13-17.
16. Bregman L., Prygichev A., Surin S. "The Improving
of the Multiplicative Algorithm of the Simplex Method". "Operations
Research and Simulation", 4,
17. Bregman L., Surin S. "The Control in
Linear Programming System for ODRA-1204" "Operations Research and
Simulation", 5,
18. Bregman L., Naumova N. "Arbitration Solutions with Ideal Point Generated by Systems of Functions". Dokl. Akad. Nauk SSSR, v. 279, No. 1, 1984, p.p. 16-20. (English translation: Soviet Math. Dokl., v. 30, 1984, p.p. 583-587)
19. Bregman L.,
20. Bregman L. "The Projection Method for Inequalities Systems". Sibirskij Math. J. v. 29, No. 4, 1988, p.p. 23-30. (English translation Sib. Math. J. 29, No. 4, p.p. 531-537).
21. Bregman L. "The Polynomial Algorithm of the Simplex Type for Linear Inequalities Systems". Cybernetika, No. 1, 1990, p.p. 84-87. (English translation Cybernetics, 26, no. 1,1990,, p.p. 106-110).
22. Bregman L., Vershik A., Gribov A., Romanovsky
J. "50 years of Linear Programming". Economika i
Math. Methody, v. 26, iss. 2, 1990, p.p.
376-378.
23. Baranov S., Bregman L. "Automata decomposition and synthesis with PLAM". Microprocessing and Microprogramming, v. 38, 1993, p.p. 759-766.
24. Baranov S., Bregman L. "Synthesis of automata from elements with given constraints on their complexity". Journal of Microcomputer Application, v. 17, 1994, p.p. 227-237.
25. Bregman L., Fokin I." On separable non-cooperative zero-sum games". Optimization, v. 44, 1998, pp. 69-84. ( Postscript )
26. Berger A., Bregman L., Kogan Y.
"Bottleneck analysis in multiclass closed queueing networks and its
applications". Queueing Systems, v. 31, 1999, pp. 217-237.
27. Bregman L. Censor Y., Reich S. "Dykstra's Algorithm as the Nonlinear Extension of Bregman's Optimization Method". Journal of Convex Analysis, v. 6, 1999, pp. 319--334 ( Postscript )
28. Bregman L., Fokin
29. Bregman L., Naumova N. "Goal Programming Solutions Generated by Utility Functions", in: Lecture Notes in Economic and Mathematical Systems, 510, Constructing and Applying Objective Functions, A.Tangian and J.Gruber eds., Springer, 2002, p.495 - 514. ( Postscript )