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Volumn 32, Issue 1, 2007, Pages 95-101

Lagrange multipliers and calmness conditions of order p

Author keywords

Dini directional derivative; Generalized calmness condition; Lagrange multiplier; non Lipschitz penalty function

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; OPERATIONS RESEARCH; OPTIMIZATION; PROBLEM SOLVING;

EID: 33847250500     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1060.0217     Document Type: Article
Times cited : (13)

References (16)
  • 2
    • 6344264248 scopus 로고    scopus 로고
    • Pseudonormality and a Lagrange multiplier theory for constrained optimization
    • Bertsekas, D. P., A. E. Ozdaglar. 2002. Pseudonormality and a Lagrange multiplier theory for constrained optimization. J. Optim. Theory Appl. 114 287-343.
    • (2002) J. Optim. Theory Appl , vol.114 , pp. 287-343
    • Bertsekas, D.P.1    Ozdaglar, A.E.2
  • 3
    • 0026118632 scopus 로고
    • Calmness and exact penalization
    • Burke, J. V. 1991. Calmness and exact penalization. SIAM J. Control Optim. 29 493-497.
    • (1991) SIAM J. Control Optim , vol.29 , pp. 493-497
    • Burke, J.V.1
  • 4
    • 0026190240 scopus 로고
    • An exact penalization viewpoint of constrained optimization
    • Burke, J. V. 1991. An exact penalization viewpoint of constrained optimization. SIAM J. Control Optim. 29 968-998.
    • (1991) SIAM J. Control Optim , vol.29 , pp. 968-998
    • Burke, J.V.1
  • 6
    • 0025465071 scopus 로고
    • A generalized second-order derivative in nonsmooth optimization
    • Cominetti, R., R. Correa. 1990. A generalized second-order derivative in nonsmooth optimization. SIAM J. Control Optim. 28 789-809.
    • (1990) SIAM J. Control Optim , vol.28 , pp. 789-809
    • Cominetti, R.1    Correa, R.2
  • 7
    • 0038247694 scopus 로고
    • The penalty method in convex programming
    • Eremin, I. I. 1966. The penalty method in convex programming. Soviet Math. Dokl. 8 459-462.
    • (1966) Soviet Math. Dokl , vol.8 , pp. 459-462
    • Eremin, I.I.1
  • 9
    • 0141740372 scopus 로고    scopus 로고
    • A unified augmented Lagrangian approach to duality and exact penalization
    • Huang, X. X., X. Q. Yang. 2003. A unified augmented Lagrangian approach to duality and exact penalization. Math. Oper. Res. 28 533-552.
    • (2003) Math. Oper. Res , vol.28 , pp. 533-552
    • Huang, X.X.1    Yang, X.Q.2
  • 11
    • 0000150038 scopus 로고    scopus 로고
    • Error bounds in mathematical programming
    • Pang, J. S. 1997. Error bounds in mathematical programming. Math. Programming 79 299-332.
    • (1997) Math. Programming , vol.79 , pp. 299-332
    • Pang, J.S.1
  • 14
    • 0036874360 scopus 로고    scopus 로고
    • The zero duality gap property and lower semicontinuity of the perturbation function
    • Rubinov, A. M., X. X. Huang, X. Q. Yang. 2002. The zero duality gap property and lower semicontinuity of the perturbation function. Math. Oper. Res. 27 775-791.
    • (2002) Math. Oper. Res , vol.27 , pp. 775-791
    • Rubinov, A.M.1    Huang, X.X.2    Yang, X.Q.3
  • 15
    • 0032658323 scopus 로고    scopus 로고
    • On relations and applications of generalized second-order directional derivatives
    • Yang, X. Q. 1999. On relations and applications of generalized second-order directional derivatives. Nonlinear Anal.-Theory, Method Appl. 36 595-614.
    • (1999) Nonlinear Anal.-Theory, Method Appl , vol.36 , pp. 595-614
    • Yang, X.Q.1
  • 16
    • 0002578669 scopus 로고
    • Nonlinear programming via penalty functions
    • Zangwill, W. I. 1967. Nonlinear programming via penalty functions. Management Sci. 13 344-358.
    • (1967) Management Sci , vol.13 , pp. 344-358
    • Zangwill, W.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.