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Volumn 109, Issue 1, 2001, Pages 99-121

Nonlinear Lagrangian theory for nonconvex optimization

Author keywords

Inequality constraints; Nonconvex optimization; Nonlinear Lagrangian; Sufficient and necessary conditions; Zero duality gap

Indexed keywords

CONSTRAINED OPTIMIZATION; PROBLEM SOLVING;

EID: 0035534033     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017513905271     Document Type: Article
Times cited : (33)

References (20)
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  • 8
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    • (1995) Journal of Optimization Theory and Applications , vol.85 , pp. 309-324
    • Li, D.1
  • 9
    • 21344494857 scopus 로고
    • Global optimality criterion and a duality with zero gap in nonconvex optimization
    • 9. THACH, R. T., Global Optimality Criterion and a Duality with Zero Gap in Nonconvex Optimization, SIAM Journal on Mathematical Analysis, Vol. 24, pp. 1537-1556, 1993.
    • (1993) SIAM Journal on Mathematical Analysis , vol.24 , pp. 1537-1556
    • Thach, R.T.1
  • 11
    • 0003487947 scopus 로고
    • Series in Operations Research, Macmillan Company, New York, NY
    • 11. LASDON, L. S., Optimization Theory for Large Systems, Series in Operations Research, Macmillan Company, New York, NY, 1970.
    • (1970) Optimization Theory for Large Systems
    • Lasdon, L.S.1
  • 12
    • 0018441518 scopus 로고
    • Necessary and sufficient conditions for a local minimum, part 3: Second-order conditions and augmented duality
    • 12. IOFFE, A., Necessary and Sufficient Conditions for a Local Minimum, Part 3: Second-Order Conditions and Augmented Duality, SIAM Journal on Control and Optimization, Vol. 17, pp. 266-288, 1979.
    • (1979) SIAM Journal on Control and Optimization , vol.17 , pp. 266-288
    • Ioffe, A.1
  • 14
    • 0018441517 scopus 로고
    • Necessary and sufficient conditions for a local minimum, part 1 : A reduction theorem and first-order conditions
    • 14. IOFFE, A., Necessary and Sufficient Conditions for a Local Minimum, Part 1 : A Reduction Theorem and First-Order Conditions, SIAM Journal on Control and Optimization, Vol. 17, pp. 245-250, 1979.
    • (1979) SIAM Journal on Control and Optimization , vol.17 , pp. 245-250
    • Ioffe, A.1
  • 15
    • 0023393914 scopus 로고
    • Second-order necessary and sufficient conditions for convex composite NDO
    • 15. BURKE, J. V., Second-Order Necessary and Sufficient Conditions for Convex Composite NDO, Mathematical Programming, Vol. 38, pp. 287-302, 1987.
    • (1987) Mathematical Programming , vol.38 , pp. 287-302
    • Burke, J.V.1
  • 16
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    • Second-order global optimality conditions for convex composite optimization
    • 16. YANG, X. Q., Second-Order Global Optimality Conditions for Convex Composite Optimization, Mathematical Programming, Vol. 81, pp. 327-347, 1998.
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    • Yang, X.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.