A Truncated Newton Method for the Solution of Large-Scale Inequality Constrained Minimization Problems

被引:2
|
作者
Francisco Facchinei
Giampaolo Liuzzi
Stefano Lucidi
机构
[1] Università di Roma “La Sapienza”,Dipartimento di Informatica e Sistemistica “A. Ruberti&rdquo
关键词
constrained optimization; active set; Newton-type method; exact penalty function; strict complementarity;
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摘要
A new active set Newton-type algorithm for the solution of inequality constrained minimization problems is proposed. The algorithm possesses the following favorable characteristics: (i) global convergence under mild assumptions; (ii) superlinear convergence of primal variables without strict complementarity; (iii) a Newton-type direction computed by means of a truncated conjugate gradient method. Preliminary computational results are reported to show viability of the approach in large scale problems having only a limited number of constraints.
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页码:85 / 122
页数:37
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