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SIAMJO
2002
133views more  SIAMJO 2002»
14 years 3 days 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
SIAMJO
2002
124views more  SIAMJO 2002»
14 years 3 days ago
The Sample Average Approximation Method for Stochastic Discrete Optimization
In this paper we study a Monte Carlo simulation based approach to stochastic discrete optimization problems. The basic idea of such methods is that a random sample is generated and...
Anton J. Kleywegt, Alexander Shapiro, Tito Homem-d...
SIAMJO
2002
100views more  SIAMJO 2002»
14 years 3 days ago
Warm-Start Strategies in Interior-Point Methods for Linear Programming
Abstract. We study the situation in which, having solved a linear program with an interiorpoint method, we are presented with a new problem instance whose data is slightly perturbe...
E. Alper Yildirim, Stephen J. Wright
SIAMJO
2002
122views more  SIAMJO 2002»
14 years 3 days ago
Robust Filtering via Semidefinite Programming with Applications to Target Tracking
In this paper we propose a novel finite-horizon, discrete-time, time-varying filtering method based on the robust semidefinite programming (SDP) technique. The proposed method prov...
Lingjie Li, Zhi-Quan Luo, Timothy N. Davidson, Kon...
SIAMJO
2002
105views more  SIAMJO 2002»
14 years 3 days ago
An Interior-Point Approach to Sensitivity Analysis in Degenerate Linear Programs
We consider the interior-point approach to sensitivity analysis in linear programming developed by the authors. We investigate the quality of the interior-point bounds under degene...
E. Alper Yildirim, Michael J. Todd
SIAMJO
2002
96views more  SIAMJO 2002»
14 years 3 days 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