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Volumn 29, Issue 3, 2004, Pages 479-491

Some properties of the augmented Lagrangian in cone constrained optimization

Author keywords

Augmented Lagrangian; Cone constraints; Conjugate duality; Duality gap; Lagrange multipliers; Sensitivity analysis

Indexed keywords

CONSTRAINT THEORY; LAGRANGE MULTIPLIERS; OPTIMIZATION; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

EID: 5544301475     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.1040.0103     Document Type: Article
Times cited : (68)

References (11)
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    • Bonnans, J. F., R. Cominetti, A. Shapiro. 1998. Sensitivity analysis of optimization problems under second order regular constraints. Math. Oper. Res. 23 806-831.
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    • Bonnans, J.F.1    Cominetti, R.2    Shapiro, A.3
  • 3
    • 0033434223 scopus 로고    scopus 로고
    • Second order optimality conditions based on parabolic second order tangent sets
    • Bonnans, J. F., R. Cominetti, A. Shapiro. 1999. Second order optimality conditions based on parabolic second order tangent sets. SIAM J. Optim. 9 466-492.
    • (1999) SIAM J. Optim. , vol.9 , pp. 466-492
    • Bonnans, J.F.1    Cominetti, R.2    Shapiro, A.3
  • 6
    • 0014604308 scopus 로고
    • Multiplier and gradient methods
    • Hestenes, M. R. 1969. Multiplier and gradient methods, J. Optim. Theory Appl. 4 303-320.
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    • Hestenes, M.R.1
  • 7
    • 0002380692 scopus 로고
    • A method for nonlinear constraints in minimization problems
    • R. Fletcher, ed. Academic Press, London, U.K
    • Powell, M. J. D. 1969. A method for nonlinear constraints in minimization problems. R. Fletcher, ed. Optimization. Academic Press, London, U.K.
    • (1969) Optimization
    • Powell, M.J.D.1
  • 8
    • 0016059769 scopus 로고
    • Augmented Lagrange multiplier functions and duality in convex programming
    • Rockafellar, R. T. 1974a. Augmented Lagrange multiplier functions and duality in convex programming. SIAM J. Control 12 268-285.
    • (1974) SIAM J. Control , vol.12 , pp. 268-285
    • Rockafellar, R.T.1
  • 10
    • 0027606675 scopus 로고    scopus 로고
    • 1993 Lagrange multipliers and optimality
    • Rockafellar, R. T. 1993. Lagrange multipliers and optimality, SIAM Rev. 35 183-238.
    • SIAM Rev. , vol.35 , pp. 183-238
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.