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SIAMJO
2002
96views more  SIAMJO 2002»
11 years 4 months ago
Lagrangian Dual Interior-Point Methods for Semidefinite Programs
This paper proposes a new predictor-corrector interior-point method for a class of semidefinite programs, which numerically traces the central trajectory in a space of Lagrange mul...
Mituhiro Fukuda, Masakazu Kojima, Masayuki Shida
SIAMJO
2010
97views more  SIAMJO 2010»
10 years 12 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
EOR
2010
160views more  EOR 2010»
11 years 5 months ago
A modified alternating direction method for convex quadratically constrained quadratic semidefinite programs
We propose a modified alternate direction method for solving convex quadratically constrained quadratic semidefinite optimization problems. The method is a first-order method, the...
Jie Sun, Su Zhang
MP
2008
91views more  MP 2008»
11 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
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