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JOTA
2011
104views more  JOTA 2011»
13 years 15 days ago
Equivalent Conditions for Jacobian Nonsingularity in Linear Symmetric Cone Programming
In this paper we consider the linear symmetric cone programming (SCP). At a KarushKuhn-Tucker (KKT) point of SCP, we present the important equivalent conditions for the nonsingula...
Lingchen Kong, Levent Tunçel, Naihua Xiu
JOTA
2011
149views more  JOTA 2011»
13 years 15 days ago
Globally Convergent Cutting Plane Method for Nonconvex Nonsmooth Minimization
: Nowadays, solving nonsmooth (not necessarily differentiable) optimization problems plays a very important role in many areas of industrial applications. Most of the algorithms d...
Napsu Karmitsa, Mario Tanaka Filho, José He...
JOTA
2011
98views more  JOTA 2011»
13 years 15 days ago
Generic Stability and Essential Components of Generalized KKM Points and Applications
We propose the definition of T-KKM points and consider generic stability of T-KKM mappings and essential components of sets of T-KKM points. As applications, using a unified appr...
Phan Quoc Khanh, Nguyen Hong Quan
JOTA
2011
78views more  JOTA 2011»
12 years 8 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...