메뉴 건너뛰기




Volumn 10, Issue 1, 1999, Pages 177-182

A nonlinear conjugate gradient method with a strong global convergence property

Author keywords

Global convergence; New conjugate gradient method; Unconstrained optimization; Wolfe conditions

Indexed keywords


EID: 0033266804     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623497318992     Document Type: Article
Times cited : (1097)

References (15)
  • 1
    • 77957214026 scopus 로고
    • Descent property and global convergence of the Fletcher-Reeves method with inexact line search
    • M. AL-BAALI, Descent property and global convergence of the Fletcher-Reeves method with inexact line search, IMA J. Numer. Anal., 5 (1985), pp. 121-124.
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 121-124
    • Al-Baali, M.1
  • 2
    • 0030515335 scopus 로고    scopus 로고
    • Convergence properties of the Fletcher-Reeves method
    • Y. H. DAI AND Y. YUAN, Convergence properties of the Fletcher-Reeves method, IMA J. Numer. Anal., 16 (1996), pp. 155-164.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 155-164
    • Dai, Y.H.1    Yuan, Y.2
  • 3
    • 0003561109 scopus 로고
    • Research report ICM-95-038, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing
    • Y. H. DAI AND Y. YUAN, A nonlinear conjugate gradient method with a nice global convergence property, Research report ICM-95-038, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, 1995.
    • (1995) A Nonlinear Conjugate Gradient Method with a Nice Global Convergence Property
    • Dai, Y.H.1    Yuan, Y.2
  • 4
    • 0039909228 scopus 로고
    • Research report ICM-95-040, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing
    • Y. H. DAI AND Y. YUAN, Further studies on the Polak-Ribière-Polyak method, Research report ICM-95-040, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, 1995.
    • (1995) Further Studies on the Polak-Ribière-Polyak Method
    • Dai, Y.H.1    Yuan, Y.2
  • 6
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • R. FLETCHER AND C. REEVES, Function minimization by conjugate gradients, Comput. J., 7 (1964), pp. 149-154.
    • (1964) Comput. J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.2
  • 7
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • M. R. HESTENES AND E. L. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards, 49 (1952), pp. 409-436.
    • (1952) J. Research Nat. Bur. Standards , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.L.2
  • 8
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • J. C. GILBERT AND J. NOCEDAL, Global convergence properties of conjugate gradient methods for optimization, SIAM. J. Optim., 2 (1992), pp. 21-42.
    • (1992) SIAM. J. Optim. , vol.2 , pp. 21-42
    • Gilbert, J.C.1    Nocedal, J.2
  • 11
    • 0001931644 scopus 로고
    • The conjugate gradient method in extremem problems
    • B. T. POLYAK, The conjugate gradient method in extremem problems, USSR Comp. Math. Math. Phys., 9 (1969), pp. 94-112.
    • (1969) USSR Comp. Math. Math. Phys. , vol.9 , pp. 94-112
    • Polyak, B.T.1
  • 12
    • 0001219541 scopus 로고
    • Nonconvex minimization calculations and the conjugate gradient method
    • Springer-Verlag, Berlin
    • M. J. D. POWELL, Nonconvex Minimization Calculations and the Conjugate Gradient Method, Lecture Notes in Math. 1066, Springer-Verlag, Berlin, 1984, pp. 122-141.
    • (1984) Lecture Notes in Math. , vol.1066 , pp. 122-141
    • Powell, M.J.D.1
  • 13
    • 0014492147 scopus 로고
    • Convergence conditions for ascent methods
    • P. WOLFE, Convergence conditions for ascent methods, SIAM Rev., 11 (1969), pp. 226-235.
    • (1969) SIAM Rev. , vol.11 , pp. 226-235
    • Wolfe, P.1
  • 14
    • 0001796942 scopus 로고
    • Convergence conditions for ascent methods. II: Some corrections
    • P. WOLFE, Convergence conditions for ascent methods. II: Some corrections, SIAM Rev., 13 (1969), pp. 185-188.
    • (1969) SIAM Rev. , vol.13 , pp. 185-188
    • Wolfe, P.1
  • 15
    • 0001854432 scopus 로고
    • Nonlinear programming, computational methods
    • J. Abadie, ed., North-Holland, Amsterdam
    • G. ZOUTENDIJK, Nonlinear programming, computational methods, in Integer and Nonlinear Programming, J. Abadie, ed., North-Holland, Amsterdam, 1970, pp. 37-86.
    • (1970) Integer and Nonlinear Programming , pp. 37-86
    • Zoutendijk, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.