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Volumn 34, Issue 2, 2006, Pages 127-134

Augmented Lagrangian function, non-quadratic growth condition and exact penalization

Author keywords

Augmented Lagrangian function; Exact penalty representation; Growth condition; Zero duality gap

Indexed keywords

OPERATIONS RESEARCH; PROBLEM SOLVING;

EID: 29144520927     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2005.03.008     Document Type: Article
Times cited : (16)

References (15)
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    • Huang, X.X.1    Yang, X.Q.2
  • 4
    • 0018441518 scopus 로고
    • Necessary and sufficient conditions for a local minimum. 3: Second-order conditions and augmented duality
    • A. Ioffe Necessary and sufficient conditions for a local minimum. 3: second-order conditions and augmented duality SIAM J. Control Optim. 17 1979 266 288
    • (1979) SIAM J. Control Optim. , vol.17 , pp. 266-288
    • Ioffe, A.1
  • 5
    • 0025208790 scopus 로고
    • The augmented Lagrangian method for parameter estimation in elliptic systems
    • K. Ito, and K. Kunisch The augmented Lagrangian method for parameter estimation in elliptic systems SIAM J. Control Optim. 28 1990 113 136
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 113-136
    • Ito, K.1    Kunisch, K.2
  • 7
    • 3843146771 scopus 로고    scopus 로고
    • Augmented Lagrangians, duality and growth conditions
    • J.P. Penot Augmented Lagrangians, duality and growth conditions J. Nonlinear Convex Anal. 3 3 2002 283 302
    • (2002) J. Nonlinear Convex Anal. , vol.3 , Issue.3 , pp. 283-302
    • Penot, J.P.1
  • 8
    • 0016059769 scopus 로고
    • Augmented Lagrange multiplier functions and duality in nonconvex programming
    • R.T. Rockafellar Augmented Lagrange multiplier functions and duality in nonconvex programming SIAM J. Control Optim. 12 1974 268 285
    • (1974) SIAM J. Control Optim. , vol.12 , pp. 268-285
    • Rockafellar, R.T.1
  • 9
    • 0027606675 scopus 로고
    • Lagrange multipliers and optimality
    • R.T. Rockafellar Lagrange multipliers and optimality SIAM Rev. 35 1993 183 238
    • (1993) SIAM Rev. , vol.35 , pp. 183-238
    • Rockafellar, R.T.1
  • 11
    • 0033261453 scopus 로고    scopus 로고
    • Decreasing functions with applications to penalization
    • A.M. Rubinov, B.M. Glover, and X.Q. Yang Decreasing functions with applications to penalization SIAM J. Optim. 10 1 1999 289 313
    • (1999) SIAM J. Optim. , vol.10 , Issue.1 , pp. 289-313
    • Rubinov, A.M.1    Glover, B.M.2    Yang, X.Q.3
  • 12
    • 0036874360 scopus 로고    scopus 로고
    • The zero duality gap property and lower-semi continuity of the perturbation function
    • A.M. Rubinov, X.X. Huang, and X.Q. Yang The zero duality gap property and lower-semi continuity of the perturbation function Math. Oper. Res. 27 2002 775 791
    • (2002) Math. Oper. Res. , vol.27 , pp. 775-791
    • Rubinov, A.M.1    Huang, X.X.2    Yang, X.Q.3
  • 14
    • 0035621414 scopus 로고    scopus 로고
    • A nonlinear Lagrangian approach to constrained optimization problems
    • X.Q. Yang, and X.X. Huang A nonlinear Lagrangian approach to constrained optimization problems SIAM J. Optim. 11 2001 1119 1144
    • (2001) SIAM J. Optim. , vol.11 , pp. 1119-1144
    • Yang, X.Q.1    Huang, X.X.2
  • 15
    • 9244265517 scopus 로고    scopus 로고
    • Some results about duality and exact penalization
    • Y.Y. Zhou, and X.Q. Yang Some results about duality and exact penalization J. Global Optim. 29 2004 497 509
    • (2004) J. Global Optim. , vol.29 , pp. 497-509
    • Zhou, Y.Y.1    Yang, X.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.