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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 4, Pages 602–613 (Mi zvmmf9680)

This article is cited in 3 papers

On active-set methods for the quadratic programming problem

A. N. Daryinaa, A. F. Izmailovb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992 Russia

Abstract: The active-set Newton method developed earlier by the authors for mixed complementarity problems is applied to solving the quadratic programming problem with a positive definite matrix of the objective function. A theoretical justification is given to the fact that the method is guaranteed to find the exact solution in a finite number of steps. Numerical results indicate that this approach is competitive with other available methods for quadratic programming problems.

Key words: quadratic programming problem, active-set method, semismooth Newton method, Fisher–Burmeister function.

UDC: 519.626

Received: 18.10.2011


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:4, 512–523

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