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ICAL
2011
301views more  ICAL 2011»
12 years 11 months ago
On the LVI-based numerical method (E47 algorithm) for solving quadratic programming problems
— In this paper, a numerical method (termed, E47 algorithm) based on linear variational inequalities (LVI) is presented and investigated to solve quadratic programming (QP) probl...
Yunong Zhang, Senbo Fu, Zhijun Zhang, Lin Xiao, Xu...
TNN
2010
182views Management» more  TNN 2010»
13 years 6 months ago
A discrete-time neural network for optimization problems with hybrid constraints
Abstract--Recurrent neural networks have become a prominent tool for optimizations including linear or nonlinear variational inequalities and programming, due to its regular mathem...
Huajin Tang, Haizhou Li, Zhang Yi
SIAMNUM
2010
103views more  SIAMNUM 2010»
13 years 6 months ago
Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
This paper deals with error estimates for space-time discretizations in the context of nary variational inequalities of rate-independent type. After introducing a general abstract ...
Alexander Mielke, Laetitia Paoli, Adrien Petrov, U...
SIAMNUM
2010
118views more  SIAMNUM 2010»
13 years 6 months 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
SIAMJO
2010
92views more  SIAMJO 2010»
13 years 6 months ago
Inexact Proximal Point Methods for Variational Inequality Problems
We present a new family of proximal point methods for solving monotone variational inequalities. Our algorithm has a relative error tolerance criterion in solving the proximal subp...
Regina Sandra Burachik, Joydeep Dutta
SIAMJO
2010
107views more  SIAMJO 2010»
13 years 9 months ago
Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variation
Abstract. This paper concerns second-order analysis for a remarkable class of variational systems in finite-dimensional and infinite-dimensional spaces, which is particularly imp...
René Henrion, Boris S. Mordukhovich, Nguyen...
MP
2010
157views more  MP 2010»
13 years 10 months ago
Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
Asen L. Dontchev, R. Tyrrell Rockafellar
MOC
2000
103views more  MOC 2000»
13 years 11 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
JGO
2008
85views more  JGO 2008»
13 years 11 months ago
On the solution existence of pseudomonotone variational inequalities
Abstract. As shown by Thanh-Hao [11], the solution existence results established by Facchinei and Pang [5, Vol. I, Prop. 2.2.3 and Theorem 2.3.4] for variational inequalities in ge...
B. T. Kien, J. C. Yao, N. D. Yen
APJOR
2007
82views more  APJOR 2007»
13 years 11 months ago
On the Construction of Gap Functions for Variational Inequalities via Conjugate duality
: In this paper we deal with the construction of gap functions for variational inequalities by using an approach which bases on the conjugate duality. Under certain assumptions we ...
Lkhamsuren Altangerel, Radu Ioan Bot, Gert Wanka