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Volumn 10, Issue 3, 2000, Pages 917-941

Pattern search methods for linearly constrained minimization

Author keywords

Linearly constrained minimization; Pattern search

Indexed keywords


EID: 0034412352     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623497331373     Document Type: Article
Times cited : (313)

References (17)
  • 1
    • 34249842390 scopus 로고
    • A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
    • D. M. AVIS AND K. FUKUDA, A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra, Discrete Comput. Geom., 8 (1992), pp. 295-313.
    • (1992) Discrete Comput. Geom. , vol.8 , pp. 295-313
    • Avis, D.M.1    Fukuda, K.2
  • 2
    • 0000880309 scopus 로고
    • On the identification of active constraints
    • J. V. BURKE AND J. J. MORÉ, On the identification of active constraints, SIAM J. Numer. Anal., 25 (1988), pp. 1197-1211.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1197-1211
    • Burke, J.V.1    Moré, J.J.2
  • 3
    • 0001356620 scopus 로고
    • Exposing constraints
    • J. V. BURKE AND J. J. MORÉ, Exposing constraints, SIAM J. Optim., 4 (1994), pp. 573-595.
    • (1994) SIAM J. Optim. , vol.4 , pp. 573-595
    • Burke, J.V.1    Moré, J.J.2
  • 4
    • 0023416451 scopus 로고
    • Projected gradient methods for linearly constrained problems
    • P. H. CALAMAI AND J. J. MORÉ, Projected gradient methods for linearly constrained problems, Math. Programming, 39 (1987), pp. 93-116.
    • (1987) Math. Programming , vol.39 , pp. 93-116
    • Calamai, P.H.1    Moré, J.J.2
  • 5
    • 0001605378 scopus 로고
    • Theory of positive linear dependence
    • C. DAVIS, Theory of positive linear dependence, Amer. J. Math., 76 (1954), pp. 733-746.
    • (1954) Amer. J. Math. , vol.76 , pp. 733-746
    • Davis, C.1
  • 6
    • 0000689228 scopus 로고
    • Global and asymptotic convergence rate estimates for a class of projected gradient processes
    • J. C. DUNN, Global and asymptotic convergence rate estimates for a class of projected gradient processes, SIAM J. Control Optim., 19 (1981), pp. 368-400.
    • (1981) SIAM J. Control Optim. , vol.19 , pp. 368-400
    • Dunn, J.C.1
  • 7
    • 84938447945 scopus 로고
    • Direct search solution of numerical and statistical problems
    • R. HOOKE AND T. A. JEEVES, Direct search solution of numerical and statistical problems, J. Assoc. Comput. Mach., 8 (1961), pp. 212-229.
    • (1961) J. Assoc. Comput. Mach. , vol.8 , pp. 212-229
    • Hooke, R.1    Jeeves, T.A.2
  • 8
    • 0033412824 scopus 로고    scopus 로고
    • Pattern search algorithms for bound constrained minimization
    • R. M. LEWIS AND V. J. TORCZON, Pattern search algorithms for bound constrained minimization, SIAM J. Optim., 9 (1999), pp. 1082-1099.
    • (1999) SIAM J. Optim. , vol.9 , pp. 1082-1099
    • Lewis, R.M.1    Torczon, V.J.2
  • 9
    • 0003686336 scopus 로고    scopus 로고
    • Tech. Rep. 96-71, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA
    • R. M. LEWIS AND V. J. TORCZON, Rank Ordering and Positive Bases in Pattern Search Algorithms, Tech. Rep. 96-71, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1996.
    • (1996) Rank Ordering and Positive Bases in Pattern Search Algorithms
    • Lewis, R.M.1    Torczon, V.J.2
  • 10
    • 0008718877 scopus 로고    scopus 로고
    • A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds
    • Tech. Rep. 98-31, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, submitted
    • R. M. LEWIS AND V. J. TORCZON, A Globally Convergent Augmented Lagrangian Pattern Search Algorithm for Optimization with General Constraints and Simple Bounds, Tech. Rep. 98-31, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1998; also available online from http://www.icase.edu/library/reports/rdp/1998.html#98-31; SIAM J. Optim., submitted.
    • (1998) SIAM J. Optim.
    • Lewis, R.M.1    Torczon, V.J.2
  • 12
    • 0016538991 scopus 로고
    • A superlinearly convergent algorithm for minimization without evaluating derivatives
    • R. MIFFLIN, A superlinearly convergent algorithm for minimization without evaluating derivatives, Math. Programming, 9 (1975), pp. 100-117.
    • (1975) Math. Programming , vol.9 , pp. 100-117
    • Mifflin, R.1
  • 13
    • 0001650577 scopus 로고
    • Décomposition orthgonale d'un espace hilbertien selon deux cônes mutuellement polaires
    • J. J. MOREAU, Décomposition orthgonale d'un espace hilbertien selon deux cônes mutuellement polaires, C. R. Acad. Sci. Paris, 255 (1962), pp. 238-240.
    • (1962) C. R. Acad. Sci. Paris , vol.255 , pp. 238-240
    • Moreau, J.J.1
  • 14
    • 84964345631 scopus 로고
    • On the convergence of the multidirectional search algorithm
    • V. TORCZON, On the convergence of the multidirectional search algorithm, SIAM J. Optim., 1 (1991), pp. 123-145.
    • (1991) SIAM J. Optim. , vol.1 , pp. 123-145
    • Torczon, V.1
  • 15
    • 0031540855 scopus 로고    scopus 로고
    • On the convergence of pattern search algorithms
    • V. TORCZON, On the convergence of pattern search algorithms, SIAM J. Optim., 7 (1997), pp. 1-25.
    • (1997) SIAM J. Optim. , vol.7 , pp. 1-25
    • Torczon, V.1
  • 17
    • 0002130882 scopus 로고
    • Projections on convex sets in Hilbert space and spectral theory
    • E. H. Zarantonello, ed., Academic Press, New York
    • E. H. ZARANTONELLO, Projections on convex sets in Hilbert space and spectral theory, in Contributions to Nonlinear Functional Analysis, E. H. Zarantonello, ed., Academic Press, New York, 1971, pp. 237-424.
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 237-424
    • Zarantonello, E.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.