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

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 11, Pages 1959–1975 (Mi zvmmf9749)

This article is cited in 3 papers

On the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method

A. F. Izmailov, E. I. Uskov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

Abstract: The paper is devoted to the analysis of the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method and the efficiency of various techniques for accelerating the final stage of this method.

Key words: mathematical programming problem, augmented Lagrangian, method of multipliers, superlinear convergence, critical Lagrange multiplier, stabilized Newton–Lagrange method.

UDC: 519.626

Received: 30.05.2012


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:11, 1504–1519

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