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Volumn 58, Issue 10, 2009, Pages 2051-2059

A heuristic iterated-subspace minimization method with pattern search for unconstrained optimization

Author keywords

Derivative free optimization; Iterated subspace; Pattern search

Indexed keywords

DERIVATIVE-FREE METHODS; DERIVATIVE-FREE OPTIMIZATION; FIRST DERIVATIVE; GENERAL PATTERN SEARCHES; HIGH-DIMENSIONAL PROBLEMS; ITERATED SUBSPACE; LOW-DIMENSIONAL MANIFOLDS; MINIMIZATION METHODS; NUMERICAL RESULTS; OBJECTIVE FUNCTIONS; PATTERN SEARCH; PATTERN SEARCH METHOD; TEST EXAMPLES; UNCONSTRAINED OPTIMIZATION; UNCONSTRAINED OPTIMIZATION PROBLEMS;

EID: 70349998691     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.07.067     Document Type: Article
Times cited : (5)

References (27)
  • 2
    • 0031540855 scopus 로고    scopus 로고
    • On the convergence of pattern search algorithms
    • Torczon V. On the convergence of pattern search algorithms. SIAM Journal on Optimization 7 (1997) 1-25
    • (1997) SIAM Journal on Optimization , vol.7 , pp. 1-25
    • Torczon, V.1
  • 3
    • 0035623851 scopus 로고    scopus 로고
    • On the convergence of grid-based methods for unconstrained minimization
    • Coope I.D., and Price C.J. On the convergence of grid-based methods for unconstrained minimization. SIAM Journal on Optimization 11 (2001) 859-869
    • (2001) SIAM Journal on Optimization , vol.11 , pp. 859-869
    • Coope, I.D.1    Price, C.J.2
  • 4
    • 33845466764 scopus 로고    scopus 로고
    • A filter-based pattern search method for unconstrained optimization
    • Wu T., and Sun L.P. A filter-based pattern search method for unconstrained optimization. Numerical Mathematics A Journal of Chinese Universities 15 3 (2006) 209-216
    • (2006) Numerical Mathematics A Journal of Chinese Universities , vol.15 , Issue.3 , pp. 209-216
    • Wu, T.1    Sun, L.P.2
  • 5
    • 50249108919 scopus 로고    scopus 로고
    • Solving unconstrained optimization problem with a filter-based nonmonotone pattern search algorithm
    • Wu T. Solving unconstrained optimization problem with a filter-based nonmonotone pattern search algorithm. Applied Mathematics and Computation 203 (2008) 380-386
    • (2008) Applied Mathematics and Computation , vol.203 , pp. 380-386
    • Wu, T.1
  • 6
    • 70349995230 scopus 로고    scopus 로고
    • R.M. Lewis, V. Torczon, Rank ordering and positive bases in pattern search algotithms, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA 23681-0001, 1996
    • R.M. Lewis, V. Torczon, Rank ordering and positive bases in pattern search algotithms, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA 23681-0001, 1996
  • 7
    • 0001605378 scopus 로고
    • Theory of positive linear dependence
    • Davis C. Theory of positive linear dependence. American Journal of Mathematics 76 (1954) 733-746
    • (1954) American Journal of Mathematics , vol.76 , pp. 733-746
    • Davis, C.1
  • 10
    • 0021291977 scopus 로고
    • Experience running optimization algorithms on parallel processing system
    • In 11th IFIP Conference on System Modelling and Optimization, Springer Verlag, Berlin
    • Dixon L.C.W., Patel K.D., and Ducksbury P.G. Experience running optimization algorithms on parallel processing system. In 11th IFIP Conference on System Modelling and Optimization. Lecture Notes in Control and Information Sciences vol. 59 (1984), Springer Verlag, Berlin 891-932
    • (1984) Lecture Notes in Control and Information Sciences , vol.59 , pp. 891-932
    • Dixon, L.C.W.1    Patel, K.D.2    Ducksbury, P.G.3
  • 12
    • 0016873451 scopus 로고
    • Orthomin, an iterative method for solving sparse sets of simultaneous linear equations
    • Society of Petroleum Engineers of AIME
    • P.K.W. Vinsome, Orthomin, an iterative method for solving sparse sets of simultaneous linear equations, in: Proceedings of the Fourth Symposium on Reservoir Simulation. Society of Petroleum Engineers of AIME, 1976
    • (1976) Proceedings of the Fourth Symposium on Reservoir Simulation
    • Vinsome, P.K.W.1
  • 13
    • 70349995231 scopus 로고    scopus 로고
    • Y. Saad, Krylov subspace methods: Theory, algorithms and applications, in: Computational Methods in Applied Science and Engineering, INRIA 29 January-2 February. INRIA, 1990
    • Y. Saad, Krylov subspace methods: Theory, algorithms and applications, in: Computational Methods in Applied Science and Engineering, INRIA 29 January-2 February. INRIA, 1990
  • 14
    • 33845419151 scopus 로고    scopus 로고
    • A quasi-Newton based pattern search algorithm for unconstrained optimization
    • Wu T., and Sun L.P. A quasi-Newton based pattern search algorithm for unconstrained optimization. Applied Mathematics and Computation 183 (2006) 685-694
    • (2006) Applied Mathematics and Computation , vol.183 , pp. 685-694
    • Wu, T.1    Sun, L.P.2
  • 15
    • 0038954388 scopus 로고    scopus 로고
    • On iterated-Subspace minimization methods for nonlinear optimization
    • Adams L., and Nazareth L. (Eds)
    • Conn A.R., Gould N.I.M., Sartenaer A., and Toint Ph.L. On iterated-Subspace minimization methods for nonlinear optimization. In: Adams L., and Nazareth L. (Eds). AMS-IMS-SIAM (1996) 50-78
    • (1996) AMS-IMS-SIAM , pp. 50-78
    • Conn, A.R.1    Gould, N.I.M.2    Sartenaer, A.3    Toint, Ph.L.4
  • 16
    • 0242598302 scopus 로고    scopus 로고
    • Objective-derivative-free methods for constrained optimization
    • Lucidi S., Sciandrone M., and Tseng P. Objective-derivative-free methods for constrained optimization. Mathematical Programming 92 1 (2002) 37-59
    • (2002) Mathematical Programming , vol.92 , Issue.1 , pp. 37-59
    • Lucidi, S.1    Sciandrone, M.2    Tseng, P.3
  • 18
    • 33747217104 scopus 로고
    • A conjugate direction implementation of the BFGS algorithm with automatic scaling
    • Coope I.D. A conjugate direction implementation of the BFGS algorithm with automatic scaling. Journal of the Australian Mathematical Society, Series B 31 1 (1989) 122-134
    • (1989) Journal of the Australian Mathematical Society, Series B , vol.31 , Issue.1 , pp. 122-134
    • Coope, I.D.1
  • 19
    • 2442455860 scopus 로고    scopus 로고
    • Frames and grids in unconstrained and linearly constrained optimization: a nonsmooth approach
    • Price C.J., and Coope I.D. Frames and grids in unconstrained and linearly constrained optimization: a nonsmooth approach. SIAM Journal on Optimization 14 2 (2003) 415-438
    • (2003) SIAM Journal on Optimization , vol.14 , Issue.2 , pp. 415-438
    • Price, C.J.1    Coope, I.D.2
  • 23
    • 0942282103 scopus 로고
    • Conjugate gradient methods with inexact searches
    • Shanno D.F. Conjugate gradient methods with inexact searches. Mathematics of Computation 34 (1978) 499-514
    • (1978) Mathematics of Computation , vol.34 , pp. 499-514
    • Shanno, D.F.1
  • 24
    • 0004024645 scopus 로고
    • Nonlinear least squares and nonlinearly constrained optimization
    • G.A. Watsom Ed, Dundee
    • P.E. Gill, W. Murray, Nonlinear least squares and nonlinearly constrained optimization, in: G.A. Watsom (Ed.), Numerical Analysis (Dundee, 1975), 1976, pp. 135-147
    • (1975) Numerical Analysis , pp. 135-147
    • Gill, P.E.1    Murray, W.2
  • 25
    • 70349988699 scopus 로고    scopus 로고
    • K.M. Brown, J.E. Dennis, New computational algorithms for minimizing a sum of squares of nonlinear function, Rep. No. 71-6, Dep. Comput Science, Yale University, New Haven, Conn., 1971
    • K.M. Brown, J.E. Dennis, New computational algorithms for minimizing a sum of squares of nonlinear function, Rep. No. 71-6, Dep. Comput Science, Yale University, New Haven, Conn., 1971
  • 26
    • 0002693749 scopus 로고
    • A comparison of several current optimization methods and the use of transformations in constrained problems
    • Box M.J. A comparison of several current optimization methods and the use of transformations in constrained problems. Computer Journal 9 (1966) 67-77
    • (1966) Computer Journal , vol.9 , pp. 67-77
    • Box, M.J.1
  • 27
    • 33845464888 scopus 로고
    • A quasi-Newton algorithm without calculating derivatives for unconstrained optimization
    • Sun L.P. A quasi-Newton algorithm without calculating derivatives for unconstrained optimization. Journal of Computational Mathematics 12 (1994) 380-386
    • (1994) Journal of Computational Mathematics , vol.12 , pp. 380-386
    • Sun, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.