2-Factor Newton Method for Solving Constrained Optimization Problems with a Degenerate Kuhn–Tucker System


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A new method is proposed for solving constrained optimization problems with inequality constraints in the case when the system of Kuhn–Tucker necessary optimality conditions is degenerate. This situation arises, for example, when the strict complementarity conditions do not hold for the solution. A reduction of the inequality-constraint problem to an equality-constraint one and the use of a new 2 factor Newton method for efficiently solving the resulting degenerate system of optimality conditions are justified.

作者简介

Yu. Evtushenko

Dorodnitsyn Computing Centre, Federal Research Center “Computer Science and Control,” Russian Academy
of Sciences

编辑信件的主要联系方式.
Email: evt@ccas.ru
俄罗斯联邦, Moscow, 119333

A. Tret’yakov

Dorodnitsyn Computing Centre, Federal Research Center “Computer Science and Control,” Russian Academy
of Sciences; System Research Institute, Polish Academy of Sciences; Faculty of Sciences, Siedlce University

编辑信件的主要联系方式.
Email: tret@ap.siedlce.pl
俄罗斯联邦, Moscow, 119333; Warsaw, 01-447; Siedlce, 08-110

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