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Volumn 30, Issue 2, 1999, Pages 199-204

A trust region method for semi-infinite programming problems

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0033078752     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/002077299292542     Document Type: Article
Times cited : (5)

References (16)
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    • Coope, I.D.1    Watson, G.A.2
  • 2
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    • A unified approach to global convergence of trust region methods for nonsmooth optimization
    • Dennis Jr., J. E., Li, S. B. B., and Tapia, R. A., 1995, A unified approach to global convergence of trust region methods for nonsmooth optimization. Mathematical Programming, 68, 319-346.
    • (1995) Mathematical Programming , vol.68 , pp. 319-346
    • Dennis, J.E.1    Li, S.B.B.2    Tapia, R.A.3
  • 3
    • 34249839737 scopus 로고
    • On affine scaling and semiinfinite programming
    • Ferris, M. C., and Philpott, A. B., 1992, On affine scaling and semiinfinite programming. Mathematical Programming, 56, 361-364.
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    • Ferris, M.C.1    Philpott, A.B.2
  • 5
    • 0022751474 scopus 로고
    • A successive quadratic programming algorithm with global and superlinear convergence properties
    • Fukushima, M., 1986, A successive quadratic programming algorithm with global and superlinear convergence properties. Mathematical Programming, 35, 253-264.
    • (1986) Mathematical Programming , vol.35 , pp. 253-264
    • Fukushima, M.1
  • 6
    • 77957083462 scopus 로고
    • Constrained nonlinear programming
    • edited by G. L. Nemhauser, A. H. G. Rinnoy Kan and M. J. Todd
    • Gill, P. E., Murray, W., Saunders, M. A., and Wright, M. H., 1989, Constrained nonlinear programming, Handbooks in OR & MS 1, edited by G. L. Nemhauser, A. H. G. Rinnoy Kan and M. J. Todd, pp. 171-210.
    • (1989) Handbooks in OR & MS 1 , pp. 171-210
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3    Wright, M.H.4
  • 7
    • 0042240786 scopus 로고
    • A comparison of some numerical methods for semi-infinite programming
    • edited by R. Hettich (Berlin: Springer
    • Hettich, R., 1979, A comparison of some numerical methods for semi-infinite programming, Semi-Infinite Programming, edited by R. Hettich (Berlin: Springer), pp. 112-125.
    • (1979) Semi-Infinite Programming , pp. 112-125
    • Hettich, R.1
  • 9
    • 0002897657 scopus 로고
    • A superlinearly convergent algorithm for constrained optimization problems
    • Mayne, D. Q., andPolak, E., 1982, A superlinearly convergent algorithm for constrained optimization problems. Mathematical Programming Study, 16, 45-61.
    • (1982) Mathematical Programming Study , vol.16 , pp. 45-61
    • Mayne, D.Q.1    Polak, E.2
  • 10
    • 0021532016 scopus 로고
    • On the use of e-most-active constraints in an exact penalty function method for nonlinear optimization
    • Mine, H., Fukushima, M., and Tanaka, Y., 1984, On the use of e-most-active constraints in an exact penalty function method for nonlinear optimization. IEEE Transactions on Automatic Control, AC-29, 1040-1042.
    • (1984) IEEE Transactions on Automatic Control , vol.AC-29 , pp. 1040-1042
    • Mine, H.1    Fukushima, M.2    Tanaka, Y.3
  • 11
    • 0023314734 scopus 로고
    • On the mathematical foundations of nondifferenti-able optimization in engineering design
    • Polak, E., 1987, On the mathematical foundations of nondifferenti-able optimization in engineering design. SIAMReview, 29, 21-89.
    • (1987) Siamreview , vol.29 , pp. 21-89
    • Polak, E.1
  • 12
    • 0002741508 scopus 로고
    • Variable metric methods for constrained optimization
    • edited by A. Bachem, M. Grotschel and B. Korte (Berlin: Springer
    • Powell, M. J. D., 1983, Variable metric methods for constrained optimization. Mathematical Programming: The State of the Art, Bonn 1982, edited by A. Bachem, M. Grotschel and B. Korte (Berlin: Springer), pp. 288-311.
    • (1983) Mathematical Programming: The State of The Art, Bonn 1982 , pp. 288-311
    • Powell, M.J.D.1
  • 13
    • 0043184798 scopus 로고
    • An exact penalty function algorithm for semi-infinite programmes
    • Price, C. J., and Coope, I. D., 1990, An exact penalty function algorithm for semi-infinite programmes. BIT, 30, 724-734.
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    • Price, C.J.1    Coope, I.D.2
  • 14
    • 0026237216 scopus 로고
    • Discretization methods for the solution of semiinfinite programming
    • Reemtsen, R., 1991, Discretization methods for the solution of semiinfinite programming. Journal of Optimization Theory and Applications, 71, 85-103.
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    • Reemtsen, R.1
  • 16
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    • Todd, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.