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Volumn 21, Issue 5, 2006, Pages 779-803

Cutting plane algorithms for robust conic convex optimization problems

Author keywords

Conic programming; Cutting plane algorithms; Semi infinite linear programming

Indexed keywords

CONVEX OPTIMIZATION; NONLINEAR PROGRAMMING;

EID: 33846703932     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780500159128     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 13444272074 scopus 로고    scopus 로고
    • Duality for inexact semi-infinite linear programming
    • Amaya, J. and Gómez, J.A., 2005, Duality for inexact semi-infinite linear programming. Optimization, 54(1), 1-25.
    • (2005) Optimization , vol.54 , Issue.1 , pp. 1-25
    • Amaya, J.1    Gómez, J.A.2
  • 3
    • 0022700578 scopus 로고
    • An implementation of a discretization method for semi-infinite programming
    • Hettich, R., 1986, An implementation of a discretization method for semi-infinite programming. Mathematical Programming, 34, 354-361.
    • (1986) Mathematical Programming , vol.34 , pp. 354-361
    • Hettich, R.1
  • 4
    • 0027657329 scopus 로고
    • Semi-infinite programming theory, methods and applications
    • Hettich, R. and Kortanek, K.O., 1993, Semi-infinite programming theory, methods and applications. SIAM Review, 35, 380-429.
    • (1993) SIAM Review , vol.35 , pp. 380-429
    • Hettich, R.1    Kortanek, K.O.2
  • 5
    • 0026237216 scopus 로고
    • Discretization methods for the solution of semi-infinite programming problems
    • Reemtsen, R., 1991, Discretization methods for the solution of semi-infinite programming problems. Journal of Optimization Theory and Application, 71(1), 85-103.
    • (1991) Journal of Optimization Theory and Application , vol.71 , Issue.1 , pp. 85-103
    • Reemtsen, R.1
  • 6
    • 0000385980 scopus 로고    scopus 로고
    • Numerical methods for semi-infinite programming: A survey
    • R. Reemtsen et al. (Eds) September 1996 (Boston: Kluwer Academic Publishers); Nonconvex Optimization and its Applications Workshop, Cottbus, Germany
    • Reemtsen, R. and Görner, S., 1998, Numerical methods for semi-infinite programming: a survey. In: R. Reemtsen et al. (Eds) Semi-Infinite Programming, September 1996 (Boston: Kluwer Academic Publishers); Nonconvex Optimization and its Applications, 25, 195-275 (Workshop, Cottbus, Germany).
    • (1998) Semi-Infinite Programming , vol.25 , pp. 195-275
    • Reemtsen, R.1    Görner, S.2
  • 8
    • 0345391495 scopus 로고    scopus 로고
    • Connections between semi-infinite and semidefinite programming
    • R. Reemtsen et al. (Eds) September 1996 (Boston: Kluwer Academic Publishers). Nonconvex Optimization and its Applications Workshop, Cottbus, Germany
    • Vandenberghe, L. and Boyd, S., 1998, Connections between semi-infinite and semidefinite programming. In: R. Reemtsen et al. (Eds) Semi-Infinite Programming, September 1996 (Boston: Kluwer Academic Publishers). Nonconvex Optimization and its Applications, 25, 277-294 Workshop, Cottbus, Germany.
    • (1998) Semi-Infinite Programming , vol.25 , pp. 277-294
    • Vandenberghe, L.1    Boyd, S.2
  • 9
    • 0031446663 scopus 로고    scopus 로고
    • Duality for inexact linear programming problems
    • Amaya, J. and de Ghellinck, G., 1997, Duality for inexact linear programming problems. Optimization 39, 137-150.
    • (1997) Optimization , vol.39 , pp. 137-150
    • Amaya, J.1    De Ghellinck, G.2
  • 10
    • 0005356360 scopus 로고    scopus 로고
    • Strong duality for inexact linear programming problems
    • Amaya, J. and Gómez, J.A., 2001, Strong duality for inexact linear programming problems. Optimization, 49(3), 243-269.
    • (2001) Optimization , vol.49 , Issue.3 , pp. 243-269
    • Amaya, J.1    Gómez, J.A.2
  • 11
    • 80455167407 scopus 로고
    • Some generalization of inexact linear programming
    • Matloka, M., 1992, Some generalization of inexact linear programming. Optimization 23, 1-6.
    • (1992) Optimization , vol.23 , pp. 1-6
    • Matloka, M.1
  • 12
    • 0010680207 scopus 로고
    • Convex Programming with set-inclusive constraints and applications to inexact linear programming
    • Soyster, A.L., 1973, Convex Programming with set-inclusive constraints and applications to inexact linear programming. Operations Research, 21, 1154-1157.
    • (1973) Operations Research , vol.21 , pp. 1154-1157
    • Soyster, A.L.1
  • 13
    • 0001348478 scopus 로고
    • A duality theory for convex programming with set-inclusive constraints
    • Soyster, A.L., 1974, A duality theory for convex programming with set-inclusive constraints. Operations Research, 22, 892-898.
    • (1974) Operations Research , vol.22 , pp. 892-898
    • Soyster, A.L.1
  • 19
    • 33847182642 scopus 로고    scopus 로고
    • An unifying framework for several cutting plane methods for semidefinite programming
    • Technical Report, Department of Computational and Applied Mathematics, Rice University in press
    • Krishnan K. and Mitchell, J.E., 2003, An unifying framework for several cutting plane methods for semidefinite programming. Technical Report, Department of Computational and Applied Mathematics, Rice University, Optimization Methods and Software, in press.
    • (2003) Optimization Methods and Software
    • Krishnan, K.1    Mitchell, J.E.2
  • 21
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite Programming
    • Vandenberghe L. and Boyd, S., 1996, Semidefinite Programming. SIAM Reviews, 38(1), 49-95.
    • (1996) SIAM Reviews , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 24
    • 13444260720 scopus 로고    scopus 로고
    • On duality theory of conic linear problems
    • M.A. Goberna et al. (Eds) Recent advances (Dordrecht: Kluwer Academic Publishers); Nonconvex Optimization and its Applications
    • Shapiro, A. 2001, On duality theory of conic linear problems. In: M.A. Goberna et al. (Eds) Semi-Infinite Programming. Recent advances (Dordrecht: Kluwer Academic Publishers); Nonconvex Optimization and its Applications, 57, 135-165.
    • (2001) Semi-Infinite Programming , vol.57 , pp. 135-165
    • Shapiro, A.1
  • 25
    • 0019633610 scopus 로고
    • Direct theorems in semi-infinite convex programming
    • Borwein, J.M., 1981, Direct theorems in semi-infinite convex programming. Mathematical Programming, 21, 301-318.
    • (1981) Mathematical Programming , vol.21 , pp. 301-318
    • Borwein, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.