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» Nonlinear programming without a penalty function or a filter
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MP
2010
80views more  MP 2010»
13 years 3 months ago
Nonlinear programming without a penalty function or a filter
Nicholas I. M. Gould, Philippe L. Toint
SIAMJO
2010
100views more  SIAMJO 2010»
13 years 4 days ago
Optimality Conditions via Exact Penalty Functions
Abstract: In this paper, we study KKT optimality conditions for constrained nonlinear programming problems and strong and Mordukhovich stationarities for mathematical
K. W. Meng, X. Q. Yang
MP
2011
12 years 8 months ago
An interior-point piecewise linear penalty method for nonlinear programming
We present an interior-point penalty method for nonlinear programming (NLP), where the merit function consists of a piecewise linear penalty function (PLPF) and an 2-penalty functi...
Lifeng Chen, Donald Goldfarb
MP
2008
91views more  MP 2008»
13 years 5 months ago
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
We analyze the rate of local convergence of the augmented Lagrangian method for nonlinear semidefinite optimization. The presence of the positive semidefinite cone constraint requ...
Defeng Sun, Jie Sun, Liwei Zhang
MP
2002
195views more  MP 2002»
13 years 5 months ago
Nonlinear rescaling vs. smoothing technique in convex optimization
We introduce an alternative to the smoothing technique approach for constrained optimization. As it turns out for any given smoothing function there exists a modification with part...
Roman A. Polyak