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Khachian's efficient algorithm for linear inequalities and linear programming

Published:01 March 1980Publication History
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References

  1. L. G. Khachian, 'A polynomial algorithm in linear programming' (in Russian), Doklady Akad. Nauk SSSR 1979, t. 244, No. 5, 1093--1096.Google ScholarGoogle Scholar
  2. Richard M. Karp, 'Reducibility among combinatorial problems', pre-print dated April 1972. Russian translation cited by Khachian {1} as Kibernetich. sbornik, Nov. ser. v. 12, 16 (1975).Google ScholarGoogle Scholar
  3. Gina Bari Kolata, 'Mathematicians amazed by Russian's discovery', SCIENCE, 2-11-79, 545--546.Google ScholarGoogle Scholar
  4. Harold Jackson, 'Russian way with the Travelling Salesman', The Guardian, 29-10-79.Google ScholarGoogle Scholar
  5. L. G. Khachian, 'Convergence rate of the game processes for solving matrix games' (in Russian), Zh. vych. mat. i mat. fiz. 1979, 17, No. 16, 1421--1431.Google ScholarGoogle Scholar
  6. L. G. Khachian&A. I. Erlikh, 'On the convergence of iterative game processes with non-unique choice of steps by the partner' (in Russian), Ekon. i mat. metody 1978, 14, No. 2, 332--344.Google ScholarGoogle Scholar
  7. L. G. Khachian&A. I. Erlikh, 'Serial game processes for the problem of convex programming' (in Russian), Izv. Akad. Nauk SSSR, Tekh. kib. 1978, No. 2, 193--196.Google ScholarGoogle Scholar
  8. L. G. Khachian, 'On the convergence of iterative processes for seeking points of equilibrium' (in Russian), Mekh. tverd. deform. tela i rodstven. probl. analiza, Moscow, 1978, 90--95.Google ScholarGoogle Scholar
  9. L. G. Khachiyan, 'Convergence rate of the game processes for solving matrix games', USSR Comp. Math. and Math. Phys., v. 17, No. 6, 78--88 (published December 1978).Google ScholarGoogle Scholar

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          cover image ACM SIGNUM Newsletter
          ACM SIGNUM Newsletter  Volume 15, Issue 1
          March 1980
          5 pages
          ISSN:0163-5778
          DOI:10.1145/1057528
          Issue’s Table of Contents

          Copyright © 1980 Author

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 March 1980

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