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SIAMJO
2010
100views more  SIAMJO 2010»
12 years 11 months ago
Optimality Conditions via Exact Penalty Functions
Abstract: In this paper, we study KKT optimality conditions for constrained nonlinear programming problems and strong and Mordukhovich stationarities for mathematical
K. W. Meng, X. Q. Yang
SIAMJO
2010
100views more  SIAMJO 2010»
12 years 11 months ago
Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions
The sensor network localization, SNL , problem in embedding dimension r, consists of locating the positions of wireless sensors, given only the distances between sensors that are ...
Nathan Krislock, Henry Wolkowicz
SIAMJO
2010
128views more  SIAMJO 2010»
12 years 11 months ago
Solving Log-Determinant Optimization Problems by a Newton-CG Primal Proximal Point Algorithm
We propose a Newton-CG primal proximal point algorithm for solving large scale log-determinant optimization problems. Our algorithm employs the essential ideas of the proximal poi...
Chengjing Wang, Defeng Sun, Kim-Chuan Toh
SIAMJO
2010
136views more  SIAMJO 2010»
12 years 11 months ago
A New Exchange Method for Convex Semi-Infinite Programming
In this paper we propose a new exchange method for solving convex semi-infinite programming (CSIP) problems. We introduce a new dropping-rule in the proposed exchange algorithm, wh...
Liping Zhang, Soon-Yi Wu, Marco A. López
SIAMJO
2010
76views more  SIAMJO 2010»
12 years 11 months ago
Constrained Infinite Group Relaxations of MIPs
Santanu S. Dey, Laurence A. Wolsey
SIAMJO
2010
62views more  SIAMJO 2010»
12 years 11 months ago
Generalized Hessians of C1, 1-Functions and Second-Order Viscosity Subjets
Given a C1,1
Luc Barbet, Aris Daniilidis, Pierpaolo Soravia
SIAMJO
2010
107views more  SIAMJO 2010»
12 years 11 months ago
Error Bounds for Some Semidefinite Programming Approaches to Polynomial Minimization on the Hypercube
We consider the problem of minimizing a polynomial on the hypercube [0, 1]n and derive new error bounds for the hierarchy of semidefinite programming approximations to this problem...
Etienne de Klerk, Monique Laurent
SIAMJO
2010
65views more  SIAMJO 2010»
12 years 11 months ago
Sequential Penalty Derivative-Free Methods for Nonlinear Constrained Optimization
Giampaolo Liuzzi, Stefano Lucidi, Marco Sciandrone
SIAMJO
2010
87views more  SIAMJO 2010»
12 years 11 months ago
Universal Rigidity and Edge Sparsification for Sensor Network Localization
Owing to their high accuracy and ease of formulation, there has been great interest in applying convex optimization techniques, particularly that of semidefinite programming (SDP)...
Zhisu Zhu, Anthony Man-Cho So, Yinyu Ye