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MP
2008
91views more  MP 2008»
13 years 4 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
SIAMJO
2010
97views more  SIAMJO 2010»
12 years 11 months ago
A Newton-CG Augmented Lagrangian Method for Semidefinite Programming
Abstract. We consider a Newton-CG augmented Lagrangian method for solving semidefinite programming (SDP) problems from the perspective of approximate semismooth Newton methods. In ...
Xin-Yuan Zhao, Defeng Sun, Kim-Chuan Toh
MP
2002
195views more  MP 2002»
13 years 4 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
JOTA
2011
78views more  JOTA 2011»
12 years 7 months ago
Outer Trust-Region Method for Constrained Optimization
Given an algorithm A for solving some mathematical problem based on the iterative solution of simpler subproblems, an Outer Trust-Region (OTR) modification of A is the result of ...
Ernesto G. Birgin, Emerson V. Castelani, Andr&eacu...
SIAMJO
2002
133views more  SIAMJO 2002»
13 years 4 months ago
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
Abstract. Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained optimization problems with smooth nonlinear functions in the objective...
Philip E. Gill, Walter Murray, Michael A. Saunders