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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2009 Volume 10, Issue 3, Pages 327–339 (Mi vmp385)

Вычислительные методы и приложения

A multi-level method for solving large-scale matrix games

E. V. Chizhonkov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A multi-level method is proposed to solve the matrix games of a special class. The essence of the paper is the adaptation of ideas of the Fedorenko-Bakhvalov method, well known as a multi-grid method for solving elliptic differential problems, to the iterative solution of matrix games. The work was supported by the Russian Foundation for Basic Research (project №09-01-00625a).

Keywords: matrix games; iterative methods; direct solver; basic iterative method; procedure of restriction; procedure of prolongation; multi-level method.

UDC: 519.832.2



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