Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 695647, 6 pages.
Linear Simultaneous Equations’ Neural Solution and Its Application to Convex Quadratic Programming with Equality-Constraint
A gradient-based neural network (GNN) is improved and presented for the linear algebraic equation solving. Then, such a GNN model is used for the online solution of the convex quadratic programming (QP) with equality-constraints under the usage of Lagrangian function and Karush-Kuhn-Tucker (KKT) condition. According to the electronic architecture of such a GNN, it is known that the performance of the presented GNN could be enhanced by adopting different activation function arrays and/or design parameters. Computer simulation results substantiate that such a GNN could obtain the accurate solution of the QP problem with an effective manner.
J. Appl. Math., Volume 2013 (2013), Article ID 695647, 6 pages.
First available in Project Euclid: 14 March 2014
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Chen, Yuhuan; Yi, Chenfu; Zhong, Jian. Linear Simultaneous Equations’ Neural Solution and Its Application to Convex Quadratic Programming with Equality-Constraint. J. Appl. Math. 2013 (2013), Article ID 695647, 6 pages. doi:10.1155/2013/695647. https://projecteuclid.org/euclid.jam/1394808174