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Volumn 144, Issue 2-3, 2003, Pages 413-431

Applications of interval arithmetic in non-smooth global optimization

Author keywords

Branch and bound; Global optimization; Interval arithmetic; Non smooth function

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FUNCTIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0038451463     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00417-4     Document Type: Article
Times cited : (4)

References (12)
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    • Krawczy, R.1    Neumaier, A.2
  • 5
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    • Use of interval slopes for the irrational part of factorable functions
    • Kolev L.V. Use of interval slopes for the irrational part of factorable functions. Reliable Comput. 3:1997;83-93.
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    • Kolev, L.V.1
  • 6
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    • On interval enclosures using slope arithmetic
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    • (1990) Appl. Math. Comput. , vol.39 , pp. 89-105
    • Shen, Z.H.1    Wolfe, M.A.2
  • 8
    • 0038786027 scopus 로고    scopus 로고
    • An interval algorithm for finding all global minimizers of non-smooth functions
    • Shen P.P. An interval algorithm for finding all global minimizers of non-smooth functions. Chinese J. Numer. Math. Appl. 21(3):1999;15-20.
    • (1999) Chinese J. Numer. Math. Appl. , vol.21 , Issue.3 , pp. 15-20
    • Shen, P.P.1
  • 9
    • 0028393156 scopus 로고
    • Cord-slope form of Taylor's expansion in univariate global optimization
    • Hanse P., Jaumard B., Xiong J. Cord-slope form of Taylor's expansion in univariate global optimization. J. Optim. Theory Applicat. 80(3):1994;441-464.
    • (1994) J. Optim. Theory Applicat. , vol.80 , Issue.3 , pp. 441-464
    • Hanse, P.1    Jaumard, B.2    Xiong, J.3
  • 10
    • 0038786025 scopus 로고
    • An interval algorithm for non-differentiable global optimization
    • Zhang L.S., Wolfe M.A. An interval algorithm for non-differentiable global optimization. J. Appl. Math. Comput. 63:1994;101-122.
    • (1994) J. Appl. Math. Comput. , vol.63 , pp. 101-122
    • Zhang, L.S.1    Wolfe, M.A.2
  • 11
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    • Computing a global optimal solution to a design centering problem
    • Nguyen Hien V., Jean-Jacques S. Computing a global optimal solution to a design centering problem. Math. Program. 53:1992;111-123.
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    • Nguyen Hien, V.1    Jean-Jacques, S.2
  • 12
    • 0037771603 scopus 로고    scopus 로고
    • An interval algorithm for finding all global minimizers of a nonsmooth function of several variable
    • Shen P.P., Yang S.Z. An interval algorithm for finding all global minimizers of a nonsmooth function of several variable. Mathematica Applicat. 14(1):2001;15-21.
    • (2001) Mathematica Applicat. , vol.14 , Issue.1 , pp. 15-21
    • Shen, P.P.1    Yang, S.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.