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JOTA
2011
78views more  JOTA 2011»
12 years 10 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...
JOTA
2011
97views more  JOTA 2011»
12 years 10 months ago
Generalized Variational Relation Problems with Applications
In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem wi...
Mircea Balaj, Lai-Jiu Lin
JOTA
2011
47views more  JOTA 2011»
13 years 2 months ago
The Q Method for Symmetric Cone Programming
Farid Alizadeh, Yu Xia
JOTA
2011
104views more  JOTA 2011»
13 years 2 months 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
98views more  JOTA 2011»
13 years 2 months 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
149views more  JOTA 2011»
13 years 2 months 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
80views more  JOTA 2011»
13 years 2 months ago
Convexity of the Proximal Average
Jennifer A. Johnstone, Valentin R. Koch, Yves Luce...