A novel recurrent nonlinear neural network for solving quadratic programming problems

Applied Mathematical Modelling

Volumn 35, Issue 4, 2011, Pages 1688-1695

  Effati, S ^a   Ranjbar, M ^b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b Technical Institute for Higher Education of Quchan   (Iran)

Author keywords

Differential equation; Neural network; Quadratic programming

Indexed keywords

CONVERGENCE RATES; DUAL PROBLEM; EXACT SOLUTION; NEURAL NETWORK MODEL; NEW MODEL; NONLINEAR NEURAL NETWORKS; NUMERICAL EXAMPLE; OPTIMAL SOLUTIONS; QUADRATIC PROGRAMMING PROBLEMS;

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; OPTIMIZATION;

NEURAL NETWORKS;

EID: 78650296300     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.10.001     Document Type: Article

References (12)

1. Luebberger D.G. Introduction to Linear and Nonlinear programming 1973, Addison Wesley, Reading, MA.
2. Effati S., Baymani M. A new nonlinear neural network for solving quadratic programming problems. Appl. Math. Comput. 2005, 165:719-729.
3. Ghasabi-Oskoei H., Malek A., Ahmadi A. Novel artificial neural network with simulation aspects for solving linear and quadratic programming problems. Comput. Math. Appl. 2007, 53:1439-1454.
4. Kennedy M.P., Chua L.O. Neural networks for nonlinear programming. IEEE Trans. Curcuits Syst. 1988, 35:554-562.
5. Tank D.W., Hopfield J.J. Simple neural optimization networks: an A/D converter, signal decision network and a linear programming circuit. IEEE Trans. Curcuits Syst. 1986, 33:533-541.
6. Wu X., Xia Y., Li J., Chen W.K. A high-performance neural network for solving linear and quadratic programming problems. IEEE Trans. Neural Networks 1996, 7:643-651.
7. Xia Y., Wang J. Global exponential stability of recurrent neural network for solving optimization and related problems. IEEE Trans. Neural Network 2000, 11:1017-1022.
8. Xia Y., Wang J. Neural network for solving linear programming problems with bounded variables. IEEE Trans. Neural Networks 1995, 6:515-519.
9. Xia Y. A new neural network for solving linear programming problems and its applications. IEEE Trans. Neural Networks 1996, 7:525-529.
10. Xia Y. A new neural network for solving linear and quadratic programming problems. IEEE Trans. Neural Networks 1996, 7:1544-1547.
11. Xia Y. Neural network for solving extended linear programming problems. IEEE Trans. Neural Networks 1997, 8:519-525.
12. Bazaraa M.S., Shetty C.M. Nonlinear Programming, Theory and Algorithms 1979, JohnWiley and Sons, New York.