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Volumn 20, Issue 4-5, 2005, Pages 493-508

Optimizing partially separable functions without derivatives

Author keywords

Derivative free optimization; Multivariate interpolation; Partially separable functions; Trust region algorithms

Indexed keywords

ALGORITHMS; FUNCTIONS; INTERPOLATION; ITERATIVE METHODS; OPTIMIZATION;

EID: 27744469963     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780500140227     Document Type: Conference Paper
Times cited : (28)

References (30)
  • 1
    • 0043032999 scopus 로고    scopus 로고
    • Analysis of generalized pattern searches
    • Audet, C. and Dennis Jr., J.E., 2003, Analysis of generalized pattern searches. SIAM Journal on Optimization, 13(3), 889-903.
    • (2003) SIAM Journal on Optimization , vol.13 , Issue.3 , pp. 889-903
    • Audet, C.1    Dennis Jr., J.E.2
  • 2
    • 0000421410 scopus 로고
    • Estimation of sparse Jacobian matrices and graph coloring problems
    • Coleman, T.F. and Moré, J.J., 1983, Estimation of sparse Jacobian matrices and graph coloring problems. SIAM Journal on Numerical Analysis, 20(1), 187-209.
    • (1983) SIAM Journal on Numerical Analysis , vol.20 , Issue.1 , pp. 187-209
    • Coleman, T.F.1    Moré, J.J.2
  • 3
    • 3042839070 scopus 로고    scopus 로고
    • Exploiting band structure in unconstrained optimization without derivatives
    • Colson, B. and Toint, Ph.L., 2001, Exploiting band structure in unconstrained optimization without derivatives. Optimization and Engineering, 2(4), 399-412.
    • (2001) Optimization and Engineering , vol.2 , Issue.4 , pp. 399-412
    • Colson, B.1    Toint, Ph.L.2
  • 4
    • 3042836845 scopus 로고    scopus 로고
    • A derivative-free algorithm for sparse unconstrained optimization problems
    • A.H. Siddiqi and M. Kocvara (Eds), Applied Optimization (The Netherlands: Kluwer Academic Publishers, Dordrecht)
    • Colson, B. and Toint, Ph.L., 2002, A derivative-free algorithm for sparse unconstrained optimization problems. In: A.H. Siddiqi and M. Kocvara (Eds) Trends in Industrial and Applied Mathematics, Vol. 72, Applied Optimization (The Netherlands: Kluwer Academic Publishers, Dordrecht), pp. 131-147.
    • (2002) Trends in Industrial and Applied Mathematics , vol.72 , pp. 131-147
    • Colson, B.1    Toint, Ph.L.2
  • 5
    • 0030497070 scopus 로고    scopus 로고
    • Convergence properties of minimization algorithms for convex constraints using a structured trust region
    • Conn, A.R., Gould, N.I.M., Sartenaer, A. and Toint, Ph.L., 1996, Convergence properties of minimization algorithms for convex constraints using a structured trust region. SIAM Journal on Optimization, 6(4), 1059-1086.
    • (1996) SIAM Journal on Optimization , vol.6 , Issue.4 , pp. 1059-1086
    • Conn, A.R.1    Gould, N.I.M.2    Sartenaer, A.3    Toint, Ph.L.4
  • 8
    • 0002215475 scopus 로고    scopus 로고
    • On the convergence of derivative-free methods for unconstrained optimization
    • A. Iserles and M. Buhmann (Eds) (Cambridge, England: Cambridge University Press)
    • Conn, A.R., Scheinberg, K. and Toint, Ph.L., 1997, On the convergence of derivative-free methods for unconstrained optimization. In: A. Iserles and M. Buhmann (Eds) Approximation Theory and Optimization: Tributes to M. J. D. Powell (Cambridge, England: Cambridge University Press), pp. 83-108.
    • (1997) Approximation Theory and Optimization: Tributes to M. J. D. Powell , pp. 83-108
    • Conn, A.R.1    Scheinberg, K.2    Toint, Ph.L.3
  • 9
    • 0242609515 scopus 로고    scopus 로고
    • Recent progress in unconstrained nonlinear optimization without derivatives
    • Conn, A.R., Scheinberg, K. and Toint, Ph.L., 1997, Recent progress in unconstrained nonlinear optimization without derivatives. Mathematical Programming, Series B, 79(3), 397-414.
    • (1997) Mathematical Programming, Series B , vol.79 , Issue.3 , pp. 397-414
    • Conn, A.R.1    Scheinberg, K.2    Toint, Ph.L.3
  • 12
    • 84968521926 scopus 로고
    • Computational aspects of polynomial interpolation in several variables
    • de Boor, C. and Ron, A., 1992, Computational aspects of polynomial interpolation in several variables. Mathematics of Computation, 58(198), 705-727.
    • (1992) Mathematics of Computation , vol.58 , Issue.198 , pp. 705-727
    • De Boor, C.1    Ron, A.2
  • 14
    • 0000782630 scopus 로고
    • Local convergence analysis of partitioned quasi-Newton updates
    • Griewank, A. and Toint, P.L., 1982, Local convergence analysis of partitioned quasi-Newton updates. Numerische Mathematik, 39, 429-448.
    • (1982) Numerische Mathematik , vol.39 , pp. 429-448
    • Griewank, A.1    Toint, P.L.2
  • 15
    • 0003378255 scopus 로고
    • On the unconstrained optimization of partially separable objective functions
    • M.J.D. Powell (Ed) (London, England: Academic Press)
    • Griewank, A. and Toint, P.L., 1982, On the unconstrained optimization of partially separable objective functions. In: M.J.D. Powell (Ed) Nonlinear Optimization 1981 (London, England: Academic Press), pp. 301-312.
    • (1982) Nonlinear Optimization 1981 , pp. 301-312
    • Griewank, A.1    Toint, P.L.2
  • 16
    • 0013358480 scopus 로고
    • Partitioned variable metric updates for large structured optimization problems
    • Griewank, A. and Toint, P.L., 1982, Partitioned variable metric updates for large structured optimization problems. Numerische Mathematik, 39, 119-137.
    • (1982) Numerische Mathematik , vol.39 , pp. 119-137
    • Griewank, A.1    Toint, P.L.2
  • 17
    • 0023982395 scopus 로고
    • Global convergence and stabilization of unconstrained minimization methods without derivatives
    • Grippo, L., Lampariello, F. and Lucidi, S., 1988, Global convergence and stabilization of unconstrained minimization methods without derivatives. Journal of Optimization Theory and Applications, 56, 385-406.
    • (1988) Journal of Optimization Theory and Applications , vol.56 , pp. 385-406
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 19
    • 0013532426 scopus 로고
    • Numerical results for unconstrained optimization without derivatives
    • F. Giannessi and G. Di Pillo (Eds) (New York, NY, USA: Plenum Publishing)
    • Lucidi, S. and Sciandrone, M., 1995, Numerical results for unconstrained optimization without derivatives. In: F. Giannessi and G. Di Pillo (Eds) Nonlinear Optimization and Applications (New York, NY, USA: Plenum Publishing), pp. 261-269.
    • (1995) Nonlinear Optimization and Applications , pp. 261-269
    • Lucidi, S.1    Sciandrone, M.2
  • 20
    • 0001008029 scopus 로고
    • An efficient method for finding the minimum of a function of several variables without calculating derivatives
    • Powell, M.J.D., 1964, An efficient method for finding the minimum of a function of several variables without calculating derivatives. Computer Journal, 17, 155-162.
    • (1964) Computer Journal , vol.17 , pp. 155-162
    • Powell, M.J.D.1
  • 21
    • 0001008029 scopus 로고
    • A method for minimizing a sum of squares of nonlinear functions without calculating derivatives
    • Powell, M.J.D., 1965, A method for minimizing a sum of squares of nonlinear functions without calculating derivatives. Computer Journal, 7, 303-307.
    • (1965) Computer Journal , vol.7 , pp. 303-307
    • Powell, M.J.D.1
  • 22
    • 0002626123 scopus 로고
    • A hybrid method for nonlinear equations
    • P. Rabinowitz (Ed) (London, England: Gordon and Breach)
    • Powell, M.J.D., 1970, A hybrid method for nonlinear equations. In: P. Rabinowitz (Ed) Numerical Methods for Nonlinear Algebraic Equations (London, England: Gordon and Breach), pp. 87-114.
    • (1970) Numerical Methods for Nonlinear Algebraic Equations , pp. 87-114
    • Powell, M.J.D.1
  • 23
    • 3042829967 scopus 로고    scopus 로고
    • Least Frobenius norm updating of quadratic models that satisfy interpolation conditions
    • Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK
    • Powell, M.J.D., 2002, Least Frobenius norm updating of quadratic models that satisfy interpolation conditions. Technical Report NA2002/08, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK.
    • (2002) Technical Report , vol.NA2002-08
    • Powell, M.J.D.1
  • 24
    • 27744513764 scopus 로고    scopus 로고
    • On trust region methods for unconstrained minimization without derivatives
    • Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK
    • Powell, M.J.D., 2002, On trust region methods for unconstrained minimization without derivatives. Technical Report NA2002/02, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK.
    • (2002) Technical Report , vol.NA2002-02
    • Powell, M.J.D.1
  • 25
    • 0041711007 scopus 로고    scopus 로고
    • UOBYQA: Unconstrained optimization by quadratic interpolation
    • Powell, M.J.D., 2002, UOBYQA: unconstrained optimization by quadratic interpolation. Mathematical Programming, 92, 555-582.
    • (2002) Mathematical Programming , vol.92 , pp. 555-582
    • Powell, M.J.D.1
  • 26
    • 27744513764 scopus 로고    scopus 로고
    • On the use of quadratic models in unconstrained minimization without derivatives
    • Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK
    • Powell, M.J.D., 2003, On the use of quadratic models in unconstrained minimization without derivatives. Technical Report NA2003/03, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge, England, UK.
    • (2003) Technical Report , vol.NA2003-03
    • Powell, M.J.D.1
  • 27
    • 51249167987 scopus 로고
    • Computational aspects of multivariate polynomial interpolation
    • Sauer, T., 1995, Computational aspects of multivariate polynomial interpolation. Advances in Computational Mathematics, 3, 219-238.
    • (1995) Advances in Computational Mathematics , vol.3 , pp. 219-238
    • Sauer, T.1
  • 28
    • 84968481084 scopus 로고
    • On multivariate Lagrange interpolation
    • Sauer, Th. and Xu, Y., 1995, On multivariate Lagrange interpolation. Mathematics of Computation, 64, 1147-1170.
    • (1995) Mathematics of Computation , vol.64 , pp. 1147-1170
    • Sauer, Th.1    Xu, Y.2
  • 29
    • 0039545483 scopus 로고
    • Test problems for partially separable optimization and results for the routine PSPMIN
    • Department of Mathematics, FUNDP, Namur, Belgium
    • Toint, Ph.L., 1983, Test problems for partially separable optimization and results for the routine PSPMIN. Technical Report 83/4, Department of Mathematics, FUNDP, Namur, Belgium.
    • (1983) Technical Report , vol.83 , Issue.4
    • Toint, Ph.L.1
  • 30
    • 0031540855 scopus 로고    scopus 로고
    • On the convergence of pattern search algorithms
    • Torczon, V., 1997, On the convergence of pattern search algorithms. SIAM Journal on Optimization, 7(1), 1-25.
    • (1997) SIAM Journal on Optimization , vol.7 , Issue.1 , pp. 1-25
    • Torczon, V.1


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