메뉴 건너뛰기




Volumn 184, Issue 2, 2007, Pages 789-797

Convergence analysis of a differential equation approach for solving nonlinear programming problems

Author keywords

Differential equation; Equilibrium solution; Nonlinear programming; Stable

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR PROGRAMMING;

EID: 33846615472     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.190     Document Type: Article
Times cited : (6)

References (20)
  • 2
    • 0003052627 scopus 로고
    • Nonlinear least Pth optimization and nonlinear programming
    • Charalamous C. Nonlinear least Pth optimization and nonlinear programming. Math. Program. 12 (1977) 195-225
    • (1977) Math. Program. , vol.12 , pp. 195-225
    • Charalamous, C.1
  • 3
    • 0032187453 scopus 로고    scopus 로고
    • Solving convex programming problems with equality constraints by neural networks
    • Chen Y.-H., and Fang S.-C. Solving convex programming problems with equality constraints by neural networks. Comput. Math. Appl. 36 (1998) 41-68
    • (1998) Comput. Math. Appl. , vol.36 , pp. 41-68
    • Chen, Y.-H.1    Fang, S.-C.2
  • 4
    • 31944448369 scopus 로고
    • Two numerical methods of solving nonlinear programming problems
    • Evtushenko Yu.G. Two numerical methods of solving nonlinear programming problems. Sov. Math. Dokl. 15 2 (1974) 420-423
    • (1974) Sov. Math. Dokl. , vol.15 , Issue.2 , pp. 420-423
    • Evtushenko, Yu.G.1
  • 6
    • 0346261429 scopus 로고
    • Barrier-projective methods for nonlinear programming
    • Evtushenko Yu.G., and Zhadan V.G. Barrier-projective methods for nonlinear programming. Comput. Math. Math. Phys. 34 5 (1994) 579-590
    • (1994) Comput. Math. Math. Phys. , vol.34 , Issue.5 , pp. 579-590
    • Evtushenko, Yu.G.1    Zhadan, V.G.2
  • 7
    • 0028698025 scopus 로고
    • Stable barrier-projection and barrier-Newton methods in nonlinear programming
    • Evtushenko Yu.G., and Zhadan V.G. Stable barrier-projection and barrier-Newton methods in nonlinear programming. Optim. Methods Software 3 (1994) 237-256
    • (1994) Optim. Methods Software , vol.3 , pp. 237-256
    • Evtushenko, Yu.G.1    Zhadan, V.G.2
  • 8
    • 31844456466 scopus 로고
    • Stable barrier-projection and barrier-Newton methods for linear and nonlinear programming
    • Spedicato E. (Ed), Kluwer Academic Publishers
    • Evtushenko Yu.G., and Zhadan V.G. Stable barrier-projection and barrier-Newton methods for linear and nonlinear programming. In: Spedicato E. (Ed). Algorithms for Continuous Optimization (1994), Kluwer Academic Publishers 255-285
    • (1994) Algorithms for Continuous Optimization , pp. 255-285
    • Evtushenko, Yu.G.1    Zhadan, V.G.2
  • 9
    • 0028524296 scopus 로고
    • Stable barrier-projection and barrier-Newton methods in linear programming
    • Evtushenko Yu.G., and Zhadan V.G. Stable barrier-projection and barrier-Newton methods in linear programming. Comput. Optim. Appl. 3 (1994) 289-303
    • (1994) Comput. Optim. Appl. , vol.3 , pp. 289-303
    • Evtushenko, Yu.G.1    Zhadan, V.G.2
  • 12
    • 0032280818 scopus 로고    scopus 로고
    • Neural networks based on Lagrange multiplier for nonlinear programming
    • Huang Y.C., Sun S.H., and Han J.Q. Neural networks based on Lagrange multiplier for nonlinear programming. Acta Electron. Sin. 26 (1998) 24-28
    • (1998) Acta Electron. Sin. , vol.26 , pp. 24-28
    • Huang, Y.C.1    Sun, S.H.2    Han, J.Q.3
  • 13
    • 0036050108 scopus 로고    scopus 로고
    • A new type of Lagrange nonlinear programming neural network
    • Huang Y.C. A new type of Lagrange nonlinear programming neural network. Acta Electron. Sin. 30 (2002) 27-29
    • (2002) Acta Electron. Sin. , vol.30 , pp. 27-29
    • Huang, Y.C.1
  • 14
    • 0035361448 scopus 로고    scopus 로고
    • Solving nonlinear complementarity problems with neural networks, a reformulation method approach
    • Liao L.Z., Qi H.D., and Qi L.Q. Solving nonlinear complementarity problems with neural networks, a reformulation method approach. J. Comput. Appl. Math. 131 1-2 (2001) 343-359
    • (2001) J. Comput. Appl. Math. , vol.131 , Issue.1-2 , pp. 343-359
    • Liao, L.Z.1    Qi, H.D.2    Qi, L.Q.3
  • 15
    • 0013005851 scopus 로고
    • New ODE methods for equality constrained optimization (1) - equations
    • Pan P.Q. New ODE methods for equality constrained optimization (1) - equations. J. Comput. Math. 10 1 (1992) 77-92
    • (1992) J. Comput. Math. , vol.10 , Issue.1 , pp. 77-92
    • Pan, P.Q.1
  • 17
    • 0028712395 scopus 로고
    • Convergence of barrier-projection methods of optimization via vector Lyapunov functions
    • Smirnov G.V. Convergence of barrier-projection methods of optimization via vector Lyapunov functions. Optim. Methods Software 3 (1994) 153-162
    • (1994) Optim. Methods Software , vol.3 , pp. 153-162
    • Smirnov, G.V.1
  • 18
    • 0018991866 scopus 로고
    • A differential equation approach to nonlinear programming
    • Yamashita H. A differential equation approach to nonlinear programming. Math. Program. 18 (1980) 115-168
    • (1980) Math. Program. , vol.18 , pp. 115-168
    • Yamashita, H.1
  • 19
    • 33846606978 scopus 로고    scopus 로고
    • A modified version to the differential system of Evtushenko and Zhadan for solving nonlinear programming
    • Yuan Y.-x. (Ed), Science Press, Beijing, New York
    • Zhang L.W. A modified version to the differential system of Evtushenko and Zhadan for solving nonlinear programming. In: Yuan Y.-x. (Ed). Numerical Linear Algebra and Optimization (1999), Science Press, Beijing, New York 161-168
    • (1999) Numerical Linear Algebra and Optimization , pp. 161-168
    • Zhang, L.W.1
  • 20
    • 31844449916 scopus 로고    scopus 로고
    • Two differential systems for solving nonlinear programming problems
    • Zhang L.W., Li Q., and Zhang X. Two differential systems for solving nonlinear programming problems. OR Trans. 4 4 (2000) 33-46
    • (2000) OR Trans. , vol.4 , Issue.4 , pp. 33-46
    • Zhang, L.W.1    Li, Q.2    Zhang, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.