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SIAMJO
2002
96views more  SIAMJO 2002»
13 years 4 months ago
A New Efficient Large-Update Primal-Dual Interior-Point Method Based on a Finite Barrier
We introduce a new barrier function which is not a barrier function in the usual sense: it has finite value at the boundary of the feasible region. Despite this, its iteration bou...
Y. Q. Bai, Mohamed El Ghami, Cees Roos
SIAMJO
2002
107views more  SIAMJO 2002»
13 years 4 months ago
A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds
We give a pattern search method for nonlinearly constrained optimization that is an adaption of a bound constrained augmented Lagrangian method first proposed by Conn, Gould, and T...
Robert Michael Lewis, Virginia Torczon
SIAMJO
2002
105views more  SIAMJO 2002»
13 years 4 months 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
102views more  SIAMJO 2002»
13 years 4 months ago
Robust Solutions of Uncertain Quadratic and Conic-Quadratic Problems
We consider a conic-quadratic (and in particular a quadratically constrained) optimization problem with uncertain data, known only to reside in some uncertainty set U. The robust ...
Aharon Ben-Tal, Arkadi Nemirovski, Cees Roos
SIAMJO
2002
73views more  SIAMJO 2002»
13 years 4 months ago
Nonlinearly Constrained Best Approximation in Hilbert Spaces: The Strong CHIP and the Basic Constraint Qualification
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
Chong Li, Xiao-Qing Jin