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MP
1998
134views more  MP 1998»
13 years 5 months ago
Second-order global optimality conditions for convex composite optimization
In recent years second-order sufficient conditions of an isolated local minimizer for convex composite optimization problems have been established. In this paper, second-order opt...
Xiaoqi Yang
MOC
2000
103views more  MOC 2000»
13 years 5 months ago
An additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Lori Badea, Junping Wang
SIAMNUM
2010
118views more  SIAMNUM 2010»
13 years 2 days ago
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
Fei Wang, Weimin Han, Xiao-Liang Cheng
ORL
2006
65views more  ORL 2006»
13 years 5 months ago
Solving asymmetric variational inequalities via convex optimization
Using duality, we reformulate the asymmetric variational inequality (VI) problem over a conic region as an optimization problem. We give sufficient conditions for the convexity of...
Michele Aghassi, Dimitris Bertsimas, Georgia Perak...
SIAMJO
2000
56views more  SIAMJO 2000»
13 years 5 months ago
Reformulation of Variational Inequalities on a Simplex and Compactification of Complementarity Problems
Abstract. Many variational inequality problems (VIPs) can be reduced, by a compactification procedure, to a VIP on the canonical simplex. Reformulations of this problem are studied...
Roberto Andreani, José Mario Martíne...