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SIAMJO
2010
88views more  SIAMJO 2010»
12 years 11 months ago
A Primal-Dual Exterior Point Method for Nonlinear Optimization
In this paper, a primal dual method for general possible nonconvex nonlinear optimization problems is considered. The method is an exterior point type method which means that it p...
Hiroshi Yamashita, Takahito Tanabe
MP
2011
12 years 7 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
2007
102views more  MP 2007»
13 years 4 months ago
Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties
The elastic-mode formulation of the problem of minimizing a nonlinear function subject to equilibrium constraints has appealing local properties in that, for a finite value of the...
Mihai Anitescu, Paul Tseng, Stephen J. Wright
MP
2008
117views more  MP 2008»
13 years 4 months ago
Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs
Abstract. We study piecewise decomposition methods for mathematical programs with equilibrium constraints (MPECs) for which all constraint functions are linear. At each iteration o...
Giovanni Giallombardo, Daniel Ralph