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Volumn 16, Issue 1-4, 2001, Pages 289-309

On the lagrange functions of quadratic models that are defined by interpolation

Author keywords

Lagrange functions; Quadratic interpolation; Unconstrained minimization

Indexed keywords

LAGRANGE MULTIPLIERS; ALGORITHMS; INTERPOLATION; OPTIMIZATION;

EID: 0036456612     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (34)

References (10)
  • 1
    • 0002215475 scopus 로고    scopus 로고
    • On the convergence of derivative-free methods for unconstrained optimization
    • M.D. Buhmann and A. Iserles (Eds.), Cambridge University Press, Cambridge
    • A.R. Conn, K. Scheinberg and Ph.L. Toint (1997). On the convergence of derivative-free methods for unconstrained optimization. In: M.D. Buhmann and A. Iserles (Eds.), Approximation Theory and Optimization, pp. 83-108. Cambridge University Press, Cambridge.
    • (1997) Approximation Theory and Optimization , pp. 83-108
    • Conn, A.R.1    Scheinberg, K.2    Toint, P.L.3
  • 2
    • 0242609515 scopus 로고    scopus 로고
    • Recent progress in unconstrained nonlinear optimization without derivatives
    • A.R. Conn, K. Scheinberg and Ph.L. Toint (1997). Recent progress in unconstrained nonlinear optimization without derivatives. Math. Programming, 79, 397-414.
    • (1997) Math. Programming , vol.79 , pp. 397-414
    • Conn, A.R.1    Scheinberg, K.2    Toint, Ph.L.3
  • 3
    • 0002999561 scopus 로고    scopus 로고
    • An algorithm using quadratic interpolation for unconstrained derivative free optimization
    • G. Di Pillo and F. Gianessi (Eds.) Plenum Publishing, New York
    • A.R. Conn and Ph.L. Toint (1996). An algorithm using quadratic interpolation for unconstrained derivative free optimization. In: G. Di Pillo and F. Gianessi (Eds.) Nonlinear Optimization and Applications, pp. 27-47. Plenum Publishing, New York.
    • (1996) Nonlinear Optimization and Applications , pp. 27-47
    • Conn, A.R.1    Toint, Ph.L.2
  • 5
    • 0000387235 scopus 로고
    • A rapidly convergent descent method for minimization
    • R. Fletcher and M.J.D. Powell (1963). A rapidly convergent descent method for minimization. Comput. J., 6, 163-168.
    • (1963) Comput. J. , vol.6 , pp. 163-168
    • Fletcher, R.1    Powell, M.J.D.2
  • 6
    • 0001770043 scopus 로고
    • A direct search optimization method that models the objective and constraint functions by linear interpolation
    • S. Gomez and J-P. Hennart (Eds.) Kluwer Academic, Dordrecht
    • M.J.D. Powell (1994). A direct search optimization method that models the objective and constraint functions by linear interpolation. In: S. Gomez and J-P. Hennart (Eds.) Advances in Optimization and Numerical Analysis, pp. 51-67. Kluwer Academic, Dordrecht.
    • (1994) Advances in Optimization and Numerical Analysis , pp. 51-67
    • Powell, M.J.D.1
  • 7
    • 85011436515 scopus 로고    scopus 로고
    • Direct search algorithms for optimization calculations
    • M.J.D. Powell (1998). Direct search algorithms for optimization calculations. Acta Numerica, 1, 287-336.
    • (1998) Acta Numerica , vol.1 , pp. 287-336
    • Powell, M.J.D.1
  • 9
    • 0032347546 scopus 로고    scopus 로고
    • Multipoint Taylor formulae
    • S. Waldron (1998). Multipoint Taylor formulae. Numer. Mathematik, 80, 461-494.
    • (1998) Numer. Mathematik , vol.80 , pp. 461-494
    • Waldron, S.1
  • 10
    • 0001406729 scopus 로고
    • Function minimization by interpolation in a data table
    • D. Winfield (1973). Function minimization by interpolation in a data table. J. Inst. Maths Applics, 12, 339-347.
    • (1973) J. Inst. Maths Applics , vol.12 , pp. 339-347
    • Winfield, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.