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TNN
2010
182views Management» more  TNN 2010»
13 years 5 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
MP
2010
157views more  MP 2010»
13 years 9 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
ICAL
2011
301views more  ICAL 2011»
12 years 10 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...

Book
1455views
15 years 10 months ago
Linear Matrix Inequalities in System and Control Theory
This book shows that several system and control theory problems can be reduced to a few standard convex or quasiconvex optimization problems involving linear matrix inequalities (L...
Stephen Boyd, Laurent El Ghaoui, E. Feron, V. Bala...
WCE
2007
14 years 1 days ago
A mathematical review of the generalized entropies and their matrix trace inequalities
Abstract– We review the properties of the generalized entropies in our previous papers in the following way. (1)A generalized Fannes’ inequality is shown by the axiomatically c...
Shigeru Furuichi