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

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 2, Pages 241–254 (Mi zvmmf36)

This article is cited in 1 paper

A new technique for avoiding the Maratos effect

A. F. Izmailov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: A well-known difficulty arising in the convergence globalization of Newton-type constrained optimization methods is the Maratos effect, which prevents these methods from achieving a superlinear convergence rate and, in many cases, reduces their general efficiency. For the sequential quadratic programming method with linesearch, a new simple and rather promising technique is proposed to avoid the Maratos effect.

Key words: mathematical programming problem, sequential quadratic programming, linesearch, Maratos effect, superlinear convergence rate.

UDC: 519.626

Received: 27.05.2008


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:2, 232–245

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© Steklov Math. Inst. of RAS, 2026