Citation Relationships



Xia Y (2004) An Extended Projection Neural Network for Constrained Optimization Neural Comput 16:863-883

References and models cited by this paper

References and models that cite this paper

Abe S, Kawakami J, Hirasawa K (1992) Solving inequality constrained combinatorial optimization problems by the Hopfield neural networks Neural Netw 5:663-670

Bazaraa MS, Sherali HD, Shetty CM (1993) Nonlinear programming theory and algorithms (2nd ed)

Bertsekas DP, Tsitsiklis JN (1989) Parallel and distributed computation: Numerical methods

Bouzerdoum A, Pattison TR (1993) Neural network for quadratic optimization with bound constraints. IEEE Trans Neural Netw 4:293-304 [Journal] [PubMed]

Charalambous C (1977) Nonlinear least p-th optimization and nonlinear programming Mathematical Programming 12:195-225

Cichocki A, Unbehauen R (1993) Neural Networks For Optimization And Signal Processing

Dupuis P, Nagurney A (1993) Dynamical systems and variational inequalities Ann Operat Res 44:19-42

Ferris MC, Pang JS (1997) Engineering and economic applications of complementarity problems SIAM Rev 39:669-713

Golden RM (1996) Mathematical methods for neural network analysis and design

Harker PT, Pang JS (1990) Finite-dimensional variational inequality and nonlinear complementary problems: A survey of theory, algorithms, and applications Mathematical Programming 48:161-220

Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci U S A 79:2554-8 [PubMed]

Hornik K, Stinhcombe M, White H (1989) Multilayer feedforward networks are universal approximators Neural Networks 2:359-366

Kennedy MP, Chua LO (1988) Neural networks for nonlinear programming IEEE Trans Circuits Syst 35:554-562

Kinderlehrer D, Stampacchia G (1980) An introduction to variational inequalities and their applications

Lillo WE, Loh MH, Hui S, Zak SH (1993) On solving constrained optimization problems with neural networks: a penalty method approach. IEEE Trans Neural Netw 4:931-40 [Journal] [PubMed]

Marcotte P (1991) Application of Khobotovs algorithm to variational inequalities and network equilibrium problems Inform Systems Oper Res 29:258-270

Ohlasson M, Pelterson C, Soderberg B (1993) Neural networks for optimization problems with inequality constraints: The knapsack problem Neural Comput 5:331-339

Oja E (1992) Principal components, minor components and linear neural networks Neural Netw 5:927-935

Peterson C, Soderberg B (1989) A new method for mapping optimization problems onto neural networks Int J Neural Systems 1:3-22

Pyne IB (1956) Linear programming on an electronic analogue computer Trans Amer Inst Elec Eng 75:139-143

Rodriguez-vazquez A, Dominguez-castro R, Rueda A, Huertas JL, Sanchez-sinencio E (1990) Nonlinear switched-capacitor neural networks for optimization problems IEEE Trans Circuits And Systems 37:384-397

Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representations by error propagation Parallel Distributed Processing, Rumelhart DE:McClelland JL, ed. pp.318

Sciavicco L, Siciliano B (2000) Modelling and control of robot manipulators

Sevrani F, Abe K (2000) On the synthesis of brain-state-in-a-box neural models with application to associative memory. Neural Comput 12:451-72 [PubMed]

Slotine JJE, Li W (1991) Applied nonlinear control

Solodov MV, Tseng P (1996) Modified projection-type methods for monotone variational inequalities SIAM J Control Optim 27:1814-1830

Tank DW, Hopfield JJ (1986) Simple neural optimization networks: An A-D converter, signal decision circuit, and a linear programming circuit IEEE Trans Circuits And Systems 33:533-541

Xia Y (1996) A new neural network for solving linear programming problems and its application. IEEE Trans Neural Netw 7:525-9 [Journal] [PubMed]

Xia Y (1996) A new neural network for solving linear and quadratic programming problems. IEEE Trans Neural Netw 7:1544-8 [Journal] [PubMed]

Xia Y, Wang J (2001) A dual neural network for kinematic control of redundant robot manipulators. IEEE Trans Syst Man Cybern B Cybern 31:147-54 [Journal] [PubMed]

Xia YS, Leung H, Wang J (2002) A projection neural network and its application to constrained optimization problems IEEE Trans Circuits And Systems-part I 49:447-458

Zhang S, Zhu X, Zou LH (1992) Second-order neural networks for constrained optimization IEEE Trans Neural Networks 3:1021-1027

Gao XB, Liao LZ (2006) A novel neural network for a class of convex quadratic minimax problems. Neural Comput 18:1818-1846

Xia Y, Feng G (2005) On convergence conditions of an extended projection neural network. Neural Comput 17:515-25 [Journal] [PubMed]

(34 refs)