Specifically, it is an interior point method, discovered by Soviet mathematician I. I. Dikin in 1967 and reinvented in the U.S. in the mid-1980s. The affine ...
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A. I. Golikov, Yu. G. Evtushenko, “Search for normal solutions in linear programming problems”, Comput. Math. Math. Phys., 40:12 (2000), 1694–1714 ...
We discuss the use of Karmarkar's interior point method to solve the Nash equilibrium problems of a zero-sum game, and prove that it is theoretically a ...
Interior-point methods are algorithms for solving linear and non-linear convex optimization problems. IPMs combine two advantages of previously-known ...
a simple proto interior-point method, originally for solving LPs. • invented by Dikin in 1967, but ignored/unknown for decades.
The proposed algorithm is accurate, faster and therefore reduces the number of iterations required to obtain an optimal solution of a given Linear Programming ...
Ilya I. Dikin, a member of the editorial board of the Electronic International Journal Advanced Modeling and Optimization, died unexpectedly on February 28, ...
I.I. Dikin. Iterative solution of problems of linear and quadratic programming. Dokl. Akad. Nauk SSSR, 174 (1967), pp. 747-748. English transl., Soviet Math ...
I. I. Dikin · Full-text PDF (252 kB). Received: 27.05.1971. Bibliographic databases: Document Type: Article. UDC: 519.95. Language: Russian. Citation: I. I. ...
I. I. Dikin, Iterative solution of problems of linear and qudartic programming, Doklady Akademiia Nauk SSSR, 174 (1967), 747-748. [16], R. M. Freund ...