References
- Abascal Fuentes , P. , García Quintas , D. and Jiménez Meana , J. 2011 . Improvements on binary coding using parallel computing . Int. J. Comput. Math , 88 ( 9 ) : 1895 – 1907 .
- Adeli , H. and Park , H. S. 1995 . Optimization of space structures by neural dynamics . Neural Networks , 8 : 769 – 781 . (doi:10.1016/0893-6080(95)00026-V)
- Ávarez-Dios , J. A. , García-Barro , J. C. and Muñz , M. C. 2011 . Study of a variational inequality with a singular perturbation term . Int. J. Comput. Math. , 88 ( 9 ) : 1919 – 1930 .
- Chen , C. and Mangasarian , O. L. 1995 . Smoothing methods for convex inequalities and linear complementarity problems . Math. Programm. , 71 : 51 – 69 . (doi:10.1007/BF01592244)
- Cheung , W. S. 2006 . Some new nonlinear inequalities and applications to boundary value problems . Nonlinear Anal. Theor. , 64 : 2112 – 2128 . (doi:10.1016/j.na.2005.08.009)
- Daniel , J. W. 1973 . Newton's method for nonlinear inequalities . Numer. Math. , 21 : 381 – 387 . (doi:10.1007/BF01436488)
- Effati , S. and Ranjbar , M. 2011 . A novel recurrent nonlinear neural network for solving quadratic programming problems . Appl. Math. Model. , 35 : 1688 – 1695 . (doi:10.1016/j.apm.2010.10.001)
- Harter , F. P. and Velho , H. F. de C. 2008 . New approach to applying neural network in nonlinear dynamic model . Appl. Math. Model. , 32 : 2621 – 2633 . (doi:10.1016/j.apm.2007.09.006)
- Hoang , N. S. and Ramm , A. G. 2009 . A nonlinear inequality and applications . Nonlinear Anal. Theor. , 71 : 2744 – 2752 . (doi:10.1016/j.na.2009.01.112)
- Mathews , J. H. and Fink , K. D. 2004 . Numerical Methods Using MATLAB , 4 , Englewood Cliffs, NJ : Prentice-Hall .
- Mayne , D. Q. , Polak , E. and Heunis , A. J. 1981 . Solving nonlinear inequalities in a finite number of iterations . J. Optim. Theory Appl. , 33 : 207 – 221 . (doi:10.1007/BF00935547)
- Mead , C. 1989 . Analog VLSI and Neural Systems , Reading, MA : Addison-Wesley .
- Nakata , S. 2011 . Parallel meshfree computation for parabolic equations on graphics hardware . Int. J. Comput. Math. , 88 ( 9 ) : 1908 – 1918 . (doi:10.1080/00207160.2010.482662)
- Sahba , M. 1985 . On the solution of nonlinear inequalities in a finite number of iterations . Numer. Math. , 46 : 229 – 236 . (doi:10.1007/BF01390421)
- da Silva , I. N. , do Amaral , W. C. and de Arruda , L. V. 2007 . A novel approach based on recurrent neural networks applied to nonlinear systems optimization . Appl. Math. Model. , 31 : 78 – 92 . (doi:10.1016/j.apm.2005.08.007)
- Wang , J. and Wu , G. 1998 . A multilayer recurrent neural network for solving continuous-time algebraic Riccati equations . Neural Networks , 11 : 939 – 950 . (doi:10.1016/S0893-6080(98)00034-3)
- Xia , Y. and Feng , G. 2007 . A new neural network for solving nonlinear projection equations . Neural Networks , 20 : 577 – 589 . (doi:10.1016/j.neunet.2007.01.001)
- Xia , Y. and Sun , C. 2009 . A novel neural dynamical approach to convex quadratic program and its efficient applications . Neural Networks , 22 : 463 – 470 . (doi:10.1016/j.neunet.2009.03.020)
- Xia , Y. and Wang , J. 2000 . A recurrent neural network for solving linear projection equations . Neural Networks , 13 : 337 – 350 . (doi:10.1016/S0893-6080(00)00019-8)
- Xiao , L. and Zhang , Y. 2011 . Zhang neural network versus gradient neural network for solving time-varying linear inequalities . IEEE Trans. Neural Networks , 22 : 1676 – 1684 . (doi:10.1109/TNN.2011.2163318)
- Xiao , L. and Zhang , Y. 2012 . Two new types of Zhang neural networks solving systems of time-varying nonlinear inequalities . IEEE Trans. Circuits Syst. I , 59 : 2363 – 2373 . (doi:10.1109/TCSI.2012.2188944)
- Yang , K. , Murty , K. G. and Mangasarian , O. L. 1992 . New iterative methods for linear inequalities . J. Optim. Theory Appl. , 72 : 163 – 185 . (doi:10.1007/BF00939954)
- Zhang , Y. and Ge , S. S. 2005 . Design and analysis of a general recurrent neural network model for time-varying matrix inversion . IEEE Trans. Neural Networks , 16 : 1477 – 1490 . (doi:10.1109/TNN.2005.857946)
- Zhang , Y. , Jiang , D. and Wang , J. 2002 . A recurrent neural network for solving Sylvester equation with time-varying coefficients . IEEE Trans. Neural Networks , 13 : 1053 – 1063 . (doi:10.1109/TNN.2002.1031938)
- Zhang , Y. and Li , Z. 2009 . Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints . Phys. Lett. A , 373 : 1639 – 1643 . (doi:10.1016/j.physleta.2009.03.011)
- Zhang , Y. , Ma , W. and Cai , B. 2009 . From Zhang neural networks to Newton iteration for matrix inversion . IEEE Trans. Circuits Syst. I , 56 : 1405 – 1415 . (doi:10.1109/TCSI.2008.2007065)
- Zhang , Y. , Xiao , L. , Ruan , G. and Li , Z. 2011 . Continuous and discrete time Zhang dynamics for time-varying 4th root finding . Numer. Algorithms , 57 : 35 – 51 . (doi:10.1007/s11075-010-9410-0)