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Volumn 37, Issue 5, 2007, Pages 1414-1421

Design of general projection neural networks for solving monotone linear variational inequalities and linear and quadratic optimization problems

Author keywords

Global convergence; Linear programming; Linear variational inequality (LVI); Quadratic programming; Recurrent neural network

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING; QUADRATIC PROGRAMMING;

EID: 35148879483     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2007.903706     Document Type: Article
Times cited : (125)

References (29)
  • 1
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • Mar
    • P. T. Harker and J. S. Pang, "Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications," Math. Program., vol. 48, no. 1-3, pp. 161-220, Mar. 1990.
    • (1990) Math. Program , vol.48 , Issue.1-3 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 3
    • 0028767587 scopus 로고
    • A new method for a class of linear variational inequalities
    • Aug
    • B. He, "A new method for a class of linear variational inequalities," Math. Program., vol. 66, no. 1-3, pp. 137-144, Aug. 1994.
    • (1994) Math. Program , vol.66 , Issue.1-3 , pp. 137-144
    • He, B.1
  • 4
    • 0022504321 scopus 로고
    • Computing with neural circuits: A model
    • Aug
    • J. J. Hopfield and D. W. Tank, "Computing with neural circuits: A model," Science, vol. 233, no. 4764, pp. 625-633, Aug. 1986.
    • (1986) Science , vol.233 , Issue.4764 , pp. 625-633
    • Hopfield, J.J.1    Tank, D.W.2
  • 5
    • 0024016062 scopus 로고
    • Neural networks for nonlinear programming
    • May
    • M. P. Kennedy and L. O. Chua, "Neural networks for nonlinear programming," IEEE Trans. Circuits Syst., vol. 35, no. 5, pp. 554-562, May 1988.
    • (1988) IEEE Trans. Circuits Syst , vol.35 , Issue.5 , pp. 554-562
    • Kennedy, M.P.1    Chua, L.O.2
  • 6
    • 0033640673 scopus 로고    scopus 로고
    • A neural-network model for monotone linear asymmetric variational inequalities
    • Jan
    • B. He and H. Yang, "A neural-network model for monotone linear asymmetric variational inequalities," IEEE Trans. Neural Netw., vol. 11, no. 1, pp. 3-16, Jan. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.1 , pp. 3-16
    • He, B.1    Yang, H.2
  • 7
    • 0035272288 scopus 로고    scopus 로고
    • Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem
    • Mar
    • X. Liang and J. Si, "Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem," IEEE Trans. Neural Netw., vol. 12, no. 2, pp. 349-359, Mar. 2001.
    • (2001) IEEE Trans. Neural Netw , vol.12 , Issue.2 , pp. 349-359
    • Liang, X.1    Si, J.2
  • 8
    • 0033163920 scopus 로고    scopus 로고
    • On the stability of globally projected dynamical systems
    • Jul
    • Y. Xia and J. Wang, "On the stability of globally projected dynamical systems," J. Optim. Theory Appl., vol. 106, no. 1, pp. 129-150, Jul. 2000.
    • (2000) J. Optim. Theory Appl , vol.106 , Issue.1 , pp. 129-150
    • Xia, Y.1    Wang, J.2
  • 9
    • 0036539447 scopus 로고    scopus 로고
    • A projection neural network and its application to constrained optimization problems
    • Apr
    • Y. Xia, H. Leung, and J. Wang, "A projection neural network and its application to constrained optimization problems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 4, pp. 447-458, Apr. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.49 , Issue.4 , pp. 447-458
    • Xia, Y.1    Leung, H.2    Wang, J.3
  • 10
    • 4844225491 scopus 로고    scopus 로고
    • Further results on global convergence and stability of globally projected dynamical systems
    • Sep
    • Y. Xia, "Further results on global convergence and stability of globally projected dynamical systems," J. Optim. Theory Appl., vol. 122, no. 3, pp. 627-649, Sep. 2004.
    • (2004) J. Optim. Theory Appl , vol.122 , Issue.3 , pp. 627-649
    • Xia, Y.1
  • 11
    • 34249016393 scopus 로고    scopus 로고
    • Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network
    • Nov
    • X. Hu and J. Wang, "Solving pseudomonotone variational inequalities and pseudoconvex optimization problems using the projection neural network," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1487-1499, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1487-1499
    • Hu, X.1    Wang, J.2
  • 12
    • 34249007164 scopus 로고    scopus 로고
    • A recurrent neural network for solving a class of general variational inequalities
    • Jun
    • X. Hu and J. Wang, "A recurrent neural network for solving a class of general variational inequalities," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 3, pp. 528-539, Jun. 2007.
    • (2007) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.37 , Issue.3 , pp. 528-539
    • Hu, X.1    Wang, J.2
  • 13
    • 1542291075 scopus 로고    scopus 로고
    • An extended projection neural network for constrained optimization
    • Apr
    • Y. Xia, "An extended projection neural network for constrained optimization," Neural Comput., vol. 16, no. 4, pp. 863-883, Apr. 2004.
    • (2004) Neural Comput , vol.16 , Issue.4 , pp. 863-883
    • Xia, Y.1
  • 14
    • 13844276167 scopus 로고    scopus 로고
    • On convergence conditions of an extended projection neural network
    • Mar
    • Y. Xia, "On convergence conditions of an extended projection neural network," Neural Comput., vol. 17, no. 3, pp. 515-525, Mar. 2005.
    • (2005) Neural Comput , vol.17 , Issue.3 , pp. 515-525
    • Xia, Y.1
  • 15
    • 28244495859 scopus 로고    scopus 로고
    • A novel neural network for variational inequalities with linear and nonlinear constraints
    • Nov
    • X. B. Gao, L. Z. Liao, and L. Q. Qi, "A novel neural network for variational inequalities with linear and nonlinear constraints," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1305-1317, Nov. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.6 , pp. 1305-1317
    • Gao, X.B.1    Liao, L.Z.2    Qi, L.Q.3
  • 16
    • 0001201399 scopus 로고    scopus 로고
    • A new neural network for solving linear and quadratic programming problems
    • Nov
    • Y. Xia, "A new neural network for solving linear and quadratic programming problems," IEEE Trans. Neural Netw., vol. 7, no. 6, pp. 1544-1547, Nov. 1996.
    • (1996) IEEE Trans. Neural Netw , vol.7 , Issue.6 , pp. 1544-1547
    • Xia, Y.1
  • 17
    • 0035439797 scopus 로고    scopus 로고
    • A new gradient-based neural network for solving linear and quadratic programming problems
    • Sep
    • Y. Leung, K.-Z. Chen, Y.-C. Jiao, X.-B. Gao, and K. S. Leung, "A new gradient-based neural network for solving linear and quadratic programming problems," IEEE Trans. Neural Netw., vol. 12, no. 5, pp. 1074-1083, Sep. 2001.
    • (2001) IEEE Trans. Neural Netw , vol.12 , Issue.5 , pp. 1074-1083
    • Leung, Y.1    Chen, K.-Z.2    Jiao, Y.-C.3    Gao, X.-B.4    Leung, K.S.5
  • 18
    • 0347817670 scopus 로고    scopus 로고
    • A simple and high performance neural network for quadratic programming problems
    • Nov
    • Q. Tao, J. Cao, and D. Sun, "A simple and high performance neural network for quadratic programming problems," Appl. Math. Comput., vol. 124, no. 2, pp. 251-260, Nov. 2001.
    • (2001) Appl. Math. Comput , vol.124 , Issue.2 , pp. 251-260
    • Tao, Q.1    Cao, J.2    Sun, D.3
  • 19
    • 0035903532 scopus 로고    scopus 로고
    • A high performance neural network for solving nonlinear programming problems with hybrid constraints
    • Q. Tao, J. Cao, M. Xue, and H. Qiao, "A high performance neural network for solving nonlinear programming problems with hybrid constraints," Phys. Lett. A, vol. 288, no. 2, pp. 88-94, 2001.
    • (2001) Phys. Lett. A , vol.288 , Issue.2 , pp. 88-94
    • Tao, Q.1    Cao, J.2    Xue, M.3    Qiao, H.4
  • 20
    • 4143078142 scopus 로고    scopus 로고
    • A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations
    • Sep
    • Y. Xia, G. Feng, and J. Wang, "A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations," Neural Netw., vol. 17, no. 7, pp. 1003-1015, Sep. 2004.
    • (2004) Neural Netw , vol.17 , Issue.7 , pp. 1003-1015
    • Xia, Y.1    Feng, G.2    Wang, J.3
  • 21
    • 23044474397 scopus 로고    scopus 로고
    • A delayed neural network for solving linear projection equations and its analysis
    • Jul
    • Q. Liu, J. Cao, and Y. Xia, "A delayed neural network for solving linear projection equations and its analysis," IEEE Trans. Neural Netw., vol. 16, no. 4, pp. 834-843, Jul. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.4 , pp. 834-843
    • Liu, Q.1    Cao, J.2    Xia, Y.3
  • 22
    • 34548629454 scopus 로고    scopus 로고
    • A simplified dual neural network for quadratic programming with its KWTA application
    • Nov
    • S. Liu and J. Wang, "A simplified dual neural network for quadratic programming with its KWTA application," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1500-1510, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1500-1510
    • Liu, S.1    Wang, J.2
  • 23
    • 33751544277 scopus 로고    scopus 로고
    • Solving quadratic programming problems by delayed projection neural network
    • Nov
    • Y. Yang and J. Cao, "Solving quadratic programming problems by delayed projection neural network," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1630-1634, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1630-1634
    • Yang, Y.1    Cao, J.2
  • 24
    • 2442472146 scopus 로고    scopus 로고
    • A general projection neural network for solving monotone variational inequalities and related optimization problems
    • Mar
    • Y. Xia and J. Wang, "A general projection neural network for solving monotone variational inequalities and related optimization problems," IEEE Trans. Neural Netw., vol. 15, no. 2, pp. 318-328, Mar. 2004.
    • (2004) IEEE Trans. Neural Netw , vol.15 , Issue.2 , pp. 318-328
    • Xia, Y.1    Wang, J.2
  • 25
    • 35148819444 scopus 로고    scopus 로고
    • Solving generally constrained generalized linear variational inequalities using the general projection neural networks
    • Nov
    • X. Hu and J. Wang, "Solving generally constrained generalized linear variational inequalities using the general projection neural networks," IEEE Trans. Neural Netw., vol. 18, no. 6, Nov. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.6
    • Hu, X.1    Wang, J.2
  • 28
    • 0000536371 scopus 로고
    • On a generalization of a normal map and equations
    • Jan
    • J. S. Pang and J. C. Yao, "On a generalization of a normal map and equations," SIAM J. Control Optim., vol. 33, no. 1, pp. 168-184, Jan. 1995.
    • (1995) SIAM J. Control Optim , vol.33 , Issue.1 , pp. 168-184
    • Pang, J.S.1    Yao, J.C.2
  • 29
    • 4744373635 scopus 로고    scopus 로고
    • Generalized neural network for nonsmooth nonlinear programming problems
    • Sep
    • M. Forti, P. Nistri, and M. Quincampoix, "Generalized neural network for nonsmooth nonlinear programming problems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 9, pp. 1741-1754, Sep. 2004.
    • (2004) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.51 , Issue.9 , pp. 1741-1754
    • Forti, M.1    Nistri, P.2    Quincampoix, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.