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Volumn 25, Issue 1-3, 2003, Pages 251-268

A unified gradient flow approach to constrained nonlinear optimization problems

Author keywords

Convergence analysis; Discretization method; Gradient flow; Nonlinear optimization problem

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; OPTIMIZATION; PARAMETER ESTIMATION;

EID: 0037395005     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022973608903     Document Type: Article
Times cited : (14)

References (12)
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  • 2
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    • Stable barrier-projection and barrier Newton methods in nonlinear programming
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  • 3
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    • Stable barrier-projection and barrier Newton methods in linear programming
    • Y.G. Evtushenko and V.G. Zhadan, "Stable barrier-projection and barrier Newton methods in linear programming," Computational Optimization and Applications, vol. 3, pp. 289-303, 1994.
    • (1994) Computational Optimization and Applications , vol.3 , pp. 289-303
    • Evtushenko, Y.G.1    Zhadan, V.G.2
  • 4
    • 0030303857 scopus 로고    scopus 로고
    • Tensor methods for equality constrained optimization
    • D. Feng and R.B. Schnabel, "Tensor methods for equality constrained optimization," SIAM Journal on Optimization, vol. 6, pp. 653-673, 1996.
    • (1996) SIAM Journal on Optimization , vol.6 , pp. 653-673
    • Feng, D.1    Schnabel, R.B.2
  • 8
    • 0016990060 scopus 로고
    • Feasible directions algorithms for optimization problems with equality and inequality constraints
    • D.Q. Mayne and E. Polak, "Feasible directions algorithms for optimization problems with equality and inequality constraints," Mathematical Programming, vol. 11, pp. 67-80, 1976.
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    • Mayne, D.Q.1    Polak, E.2
  • 9
    • 0033181497 scopus 로고    scopus 로고
    • A dynamical systems analysis of semidefinite programming with application to quadratic optimization with pure equality constraints
    • R.J. Orsi, R.E. Mahony, and J.B. Moore, "A dynamical systems analysis of semidefinite programming with application to quadratic optimization with pure equality constraints," App. Math. Optm. vol. 40, pp. 191-210, 1999.
    • (1999) App. Math. Optm. , vol.40 , pp. 191-210
    • Orsi, R.J.1    Mahony, R.E.2    Moore, J.B.3
  • 10
    • 0028712395 scopus 로고
    • Convergence of barrier-projection methods of optimization via vector Lyapunov functions
    • G.V. Smirnov, "Convergence of barrier-projection methods of optimization via vector Lyapunov functions," Optimization Methods and Software, vol. 3, pp. 153-162, 1994.
    • (1994) Optimization Methods and Software , vol.3 , pp. 153-162
    • Smirnov, G.V.1
  • 12
    • 0031630314 scopus 로고    scopus 로고
    • A new approach to nonlinear mixed discrete programming problems
    • S. Wang, K.L. Teo, and H.W.J. Lee, "A new approach to nonlinear mixed discrete programming problems," Eng. Opt., vol. 30, pp. 249-262, 1998.
    • (1998) Eng. Opt. , vol.30 , pp. 249-262
    • Wang, S.1    Teo, K.L.2    Lee, H.W.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.