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ICCSA
2003
Springer
13 years 10 months ago
The p-th Order Necessary Optimality Conditions for Inequality-Constrained Optimization Problems
Abstract. In this paper, we consider a nonlinear optimization problem with inequality constraints. The paper addresses the degenerate case when the active constraint gradients are ...
Olga Brezhneva, Alexey Tret'yakov
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
AUTOMATICA
2008
167views more  AUTOMATICA 2008»
13 years 4 months ago
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
A wide variety of stability and performance questions about linear dynamical systems can be reformulated as convex optimization problems involving linear matrix inequalities (LMIs...
Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E....
MP
1998
134views more  MP 1998»
13 years 4 months ago
Second-order global optimality conditions for convex composite optimization
In recent years second-order sufficient conditions of an isolated local minimizer for convex composite optimization problems have been established. In this paper, second-order opt...
Xiaoqi Yang