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Volumn 38, Issue 3, 1999, Pages 23-33

Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONSTRAINT THEORY; ITERATIVE METHODS; NUMERICAL METHODS; SET THEORY;

EID: 0033177456     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00203-5     Document Type: Article
Times cited : (16)

References (16)
  • 1
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    • (1993) SIAM Review , vol.35 , pp. 380-429
    • Hettich, R.1    Kortanek, K.O.2
  • 2
    • 0000385980 scopus 로고    scopus 로고
    • Numerical methods for semi-infinite programming: A survey
    • (Edited by R. Reemtsen and J.-J. Rueckmann), Kluwer Academic, Boston, MA
    • R. Reemtsen and S. Görne, Numerical methods for semi-infinite programming: A survey, In Semi-Infinite Programming, (Edited by R. Reemtsen and J.-J. Rueckmann), pp. 195-275, Kluwer Academic, Boston, MA, (1998).
    • (1998) Semi-Infinite Programming , pp. 195-275
    • Reemtsen, R.1    Görne, S.2
  • 3
    • 0001959628 scopus 로고
    • Semi-infinite programming and applications
    • (Edited by A. Bachem, M. Grotschel and B. Korte), Springer-Verlag
    • S.A. Gustafson and K.O. Kortanek, Semi-infinite programming and applications, In Mathematical Programming: The State and Art, (Edited by A. Bachem, M. Grotschel and B. Korte), pp. 132-157, Springer-Verlag, (1983).
    • (1983) Mathematical Programming: The State and Art , pp. 132-157
    • Gustafson, S.A.1    Kortanek, K.O.2
  • 7
    • 0015659199 scopus 로고
    • Numerical treatment of a class of semi-infinite programming problems
    • S.A. Gustafson and K.O. Kortanek, Numerical treatment of a class of semi-infinite programming problems, Naval Research Logistics Quarterly 20, 473-504, (1973).
    • (1973) Naval Research Logistics Quarterly , vol.20 , pp. 473-504
    • Gustafson, S.A.1    Kortanek, K.O.2
  • 8
    • 0003058816 scopus 로고
    • A central cutting plane algorithm for SIP
    • (Edited by R. Hettich), Springer-Verlag
    • P.R. Gribik, A central cutting plane algorithm for SIP, In Semi-Infinite Programming, (Edited by R. Hettich), Springer-Verlag, (1979).
    • (1979) Semi-Infinite Programming
    • Gribik, P.R.1
  • 9
    • 0001037606 scopus 로고
    • A cutting plane algorithm for solving quadratic semi-infinite programs
    • R. Tichatschke and V. Nebeling, A cutting plane algorithm for solving quadratic semi-infinite programs, Optimization 19, 803-817, (1988).
    • (1988) Optimization , vol.19 , pp. 803-817
    • Tichatschke, R.1    Nebeling, V.2
  • 10
    • 85031623907 scopus 로고    scopus 로고
    • Combined relaxations of the cutting plane method for quadratic semi-infinite programming problems
    • submitted
    • S.-C. Fang, C.-J. Lin and S.-Y. Wu, Combined relaxations of the cutting plane method for quadratic semi-infinite programming problems, Journal of Computational and Applied Mathematics, (submitted).
    • Journal of Computational and Applied Mathematics
    • Fang, S.-C.1    Lin, C.-J.2    Wu, S.-Y.3
  • 11
    • 0032222094 scopus 로고    scopus 로고
    • An unconstrained convex programming approach to linear semi-infinite programming
    • C.-J. Lin, S.-C. Fang and S.-Y. Wu, An unconstrained convex programming approach to linear semi-infinite programming, SIAM Journal on Optimization 8, 443-456, (1998).
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 443-456
    • Lin, C.-J.1    Fang, S.-C.2    Wu, S.-Y.3
  • 12
    • 0032275277 scopus 로고    scopus 로고
    • Relaxed cutting plane method for solving linear semi-infinite programming problems
    • S.-Y. Wu, S.-C. Fang and C.-J. Lin, Relaxed cutting plane method for solving linear semi-infinite programming problems, Journal of Optimization Theory and Applications 99, 759-779, (1998).
    • (1998) Journal of Optimization Theory and Applications , vol.99 , pp. 759-779
    • Wu, S.-Y.1    Fang, S.-C.2    Lin, C.-J.3
  • 13
    • 0000123936 scopus 로고
    • An inexact approach to solving linear semi-infinite programming problems
    • S.-C. Fang and S.-Y. Wu, An inexact approach to solving linear semi-infinite programming problems, Optimization 28, 291-299, (1994).
    • (1994) Optimization , vol.28 , pp. 291-299
    • Fang, S.-C.1    Wu, S.-Y.2
  • 14
    • 0001734830 scopus 로고
    • On solving convex quadratic semi-infinite programming problems
    • S.-C. Fang, C.-J. Lin and S.-Y. Wu, On solving convex quadratic semi-infinite programming problems, Optimization 31, 107-125, (1994).
    • (1994) Optimization , vol.31 , pp. 107-125
    • Fang, S.-C.1    Lin, C.-J.2    Wu, S.-Y.3
  • 15
    • 0004688723 scopus 로고
    • A stable multiple exchange algorithm for linear SIP
    • (Edited by R. Hettich), Springer-Verlag
    • K. Roleff, A stable multiple exchange algorithm for linear SIP, In Semi-Infinite Programming, (Edited by R. Hettich), Springer-Verlag, (1979).
    • (1979) Semi-Infinite Programming
    • Roleff, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.