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Volumn 41, Issue 11, 1998, Pages 1142-1150

Convergence properties of Beale-Powell restart algorithm

Author keywords

Conjugate gradient; Global convergence; Line search; Restart; Unconstrained optimization

Indexed keywords


EID: 17644432398     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02871976     Document Type: Article
Times cited : (37)

References (18)
  • 1
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher, R., Reeves, C., Function minimization by conjugate gradients, Comput. J., 1964, 7: 149.
    • (1964) Comput. J. , vol.7 , pp. 149
    • Fletcher, R.1    Reeves, C.2
  • 3
    • 0001931644 scopus 로고
    • The conjugate gradient method in extremum problems
    • Polyak, B. T., The conjugate gradient method in extremum problems, USSR Comp. Math. and Math. Phys., 1969, 9: 94.
    • (1969) USSR Comp. Math. and Math. Phys. , vol.9 , pp. 94
    • Polyak, B.T.1
  • 4
    • 0030515335 scopus 로고    scopus 로고
    • Convergence properties of the Fletcher-Reeves method
    • Dai, Y. H., Yuan, Y., Convergence properties of the Fletcher-Reeves method, IMAJ. Numer. Anal., 1996, 16(2): 155.
    • (1996) IMAJ. Numer. Anal. , vol.16 , Issue.2 , pp. 155
    • Dai, Y.H.1    Yuan, Y.2
  • 5
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • Gilbert, J. C., Nocedal, J., Global convergence properties of conjugate gradient methods for optimization, SIAM J. Optimization, 1992, 2(1): 21.
    • (1992) SIAM J. Optimization , vol.2 , Issue.1 , pp. 21
    • Gilbert, J.C.1    Nocedal, J.2
  • 6
    • 0010846477 scopus 로고
    • Linear convergence of the conjugate gradient method
    • Crowder, H. P., Wolfe, P., Linear convergence of the conjugate gradient method, IBM J. Res. Dev., 1969, 16: 431.
    • (1969) IBM J. Res. Dev. , vol.16 , pp. 431
    • Crowder, H.P.1    Wolfe, P.2
  • 7
    • 0027901858 scopus 로고
    • Analysis on the conjugate gradient method
    • Yuan, Y., Analysis on the conjugate gradient method, Optimization Methods and Software, 1993, 2: 19.
    • (1993) Optimization Methods and Software , vol.2 , pp. 19
    • Yuan, Y.1
  • 8
    • 0141937371 scopus 로고
    • Rate of convergence of several conjugate gradient algorithms
    • Cohen, A., Rate of convergence of several conjugate gradient algorithms, SIAM J Numer. Anal., 1972, 9: 248.
    • (1972) SIAM J Numer. Anal. , vol.9 , pp. 248
    • Cohen, A.1
  • 9
    • 0016057394 scopus 로고
    • Alternative proofs of the convergence properties of the conjugate-gradient method
    • McCormick, G. P., Ritter, K., Alternative proofs of the convergence properties of the conjugate-gradient method, JOTA, 1975, 13(5): 497.
    • (1975) JOTA , vol.13 , Issue.5 , pp. 497
    • McCormick, G.P.1    Ritter, K.2
  • 10
    • 33846446220 scopus 로고
    • Restart procedures of the conjugate gradient method
    • Powell, M. J. D., Restart procedures of the conjugate gradient method, Math. Program, 1977, 2: 241.
    • (1977) Math. Program , vol.2 , pp. 241
    • Powell, M.J.D.1
  • 11
    • 0010515793 scopus 로고
    • A derivative of conjugate gradients
    • ed. Lootsma, F., London: Academic Press
    • Beale, E. M. L., A derivative of conjugate gradients, in Numerical Methods for Nonlinear Optimization (ed. Lootsma, F.), London: Academic Press, 1972, 39-43.
    • (1972) Numerical Methods for Nonlinear Optimization , pp. 39-43
    • Beale, E.M.L.1
  • 12
    • 84972817942 scopus 로고
    • Global convergence of three terms conjugate gradient methods
    • Deng, N., Li, Z., Global convergence of three terms conjugate gradient methods, Optimization Methods and Software, 1995, 4: 273.
    • (1995) Optimization Methods and Software , vol.4 , pp. 273
    • Deng, N.1    Li, Z.2
  • 14
    • 0001219541 scopus 로고
    • Nonconvex minimization calculations and the conjugate gradient method
    • ed. Griffths, D. F., Berlin: Springer-Verlag
    • Powell, M. J. D., Nonconvex minimization calculations and the conjugate gradient method. in Numerical Analysis, Lecture Notes in Mathematics (ed. Griffths, D. F.), Berlin: Springer-Verlag, 1984, 1 066: 122-141.
    • (1984) Numerical Analysis, Lecture Notes in Mathematics , vol.1066 , pp. 122-141
    • Powell, M.J.D.1
  • 15
  • 16
    • 0014492147 scopus 로고
    • Convergence conditions for ascent methods
    • Wolfe, P., Convergence conditions for ascent methods, SIAM Review, 1969, 11: 226.
    • (1969) SIAM Review , vol.11 , pp. 226
    • Wolfe, P.1
  • 17
    • 0001796942 scopus 로고
    • Convergence conditions for ascent methods II: Some corrections
    • Wolfe, P., Convergence conditions for ascent methods II: Some corrections, SIAM Review, 1969, 13: 185.
    • (1969) SIAM Review , vol.13 , pp. 185
    • Wolfe, P.1
  • 18
    • 0001854432 scopus 로고
    • Nonlinear programming, computational Methods
    • ed. Abadie, J., Amsterdam: North-Holland
    • Zoutendijk G. Nonlinear programming, computational Methods, in Integer and Nonlinear Programming (ed. Abadie, J.), Amsterdam: North-Holland, 1970, 37-86.
    • (1970) Integer and Nonlinear Programming , pp. 37-86
    • Zoutendijk, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.