메뉴 건너뛰기




Volumn 5, Issue 4, 2011, Pages 615-630

Global convergence of some modified PRP nonlinear conjugate gradient methods

Author keywords

Conjugate gradient method; Global convergence; Line search; Sufficient descent property; Unconstrained optimization

Indexed keywords

GLOBAL CONVERGENCE; GLOBALLY CONVERGENT; LARGE-SCALE OPTIMIZATION; LINE SEARCHES; LOWER BOUNDS; NONLINEAR CONJUGATE GRADIENT METHOD; NUMERICAL RESULTS; STEPSIZE; SUFFICIENT DESCENT PROPERTY; UNCONSTRAINED OPTIMIZATION;

EID: 80052968044     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-010-0224-8     Document Type: Article
Times cited : (25)

References (21)
  • 1
  • 2
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R., Reeves C.: Function minimization by conjugate gradients. Comput. J. 7, 149-154 (1964).
    • (1964) Comput. J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.2
  • 4
    • 0001931644 scopus 로고
    • The conjugate gradient method in extreme problems
    • Polyak B. T.: The conjugate gradient method in extreme problems. USSR Comput. Math. Math. Phys. 9, 94-112 (1969).
    • (1969) USSR Comput. Math. Math. Phys. , vol.9 , pp. 94-112
    • Polyak, B.T.1
  • 5
    • 0033266804 scopus 로고    scopus 로고
    • A nonlinear conjugate gradient with a strong global convergence properties
    • Dai Y., Yuan Y.: A nonlinear conjugate gradient with a strong global convergence properties. SIAM J. Optim. 10, 177-182 (2000).
    • (2000) SIAM J. Optim. , vol.10 , pp. 177-182
    • Dai, Y.1    Yuan, Y.2
  • 6
    • 77957214026 scopus 로고
    • Descent property and global convergence of the Fletcher-Reeves method with inexact line search
    • AL-Baali M.: Descent property and global convergence of the Fletcher-Reeves method with inexact line search. IMA J. Numer. Anal. 5, 121-124 (1985).
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 121-124
    • Al-Baali, M.1
  • 7
    • 0030515335 scopus 로고    scopus 로고
    • Convergence properties of the Fletcher-Reeves method
    • Dai Y., Yuan Y.: Convergence properties of the Fletcher-Reeves method. IMA J. Numer. Anal. 16(2), 155-164 (1996).
    • (1996) IMA J. Numer. Anal. , vol.16 , Issue.2 , pp. 155-164
    • Dai, Y.1    Yuan, Y.2
  • 8
    • 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. Optim. 2, 21-42 (1992).
    • (1992) SIAM. J. Optim. , vol.2 , pp. 21-42
    • Gilbert, J.C.1    Nocedal, J.2
  • 9
    • 0013387067 scopus 로고    scopus 로고
    • A globally convergent version of the Polak-Ribiére gradient method
    • Grippo L., Lucidi S.: A globally convergent version of the Polak-Ribiére gradient method. Math. Program. 78, 375-391 (1997).
    • (1997) Math. Program. , vol.78 , pp. 375-391
    • Grippo, L.1    Lucidi, S.2
  • 10
    • 33144465578 scopus 로고    scopus 로고
    • A new conjugate gradient method with guaranteed descent and an efficient line search
    • Hager W. W., Zhang H.: A new conjugate gradient method with guaranteed descent and an efficient line search. SIAM J. Optim. 16, 170-192 (2005).
    • (2005) SIAM J. Optim. , vol.16 , pp. 170-192
    • Hager, W.W.1    Zhang, H.2
  • 11
    • 33745276908 scopus 로고    scopus 로고
    • A survey of nonlinear conjugate gradient methods
    • Hager W. W., Zhang H.: A survey of nonlinear conjugate gradient methods. Pac. J. Optim. 2, 35-58 (2006).
    • (2006) Pac. J. Optim. , vol.2 , pp. 35-58
    • Hager, W.W.1    Zhang, H.2
  • 13
    • 67650498880 scopus 로고    scopus 로고
    • Modified nonlinear conjugate gradient methods with sufficient descent property for large-scale optimization problems
    • Yuan G. L.: Modified nonlinear conjugate gradient methods with sufficient descent property for large-scale optimization problems. Optim. Lett. 3, 11-21 (2009).
    • (2009) Optim. Lett. , vol.3 , pp. 11-21
    • Yuan, G.L.1
  • 14
    • 33749239442 scopus 로고    scopus 로고
    • Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
    • Zhang L., Zhou W., Li D. H.: Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Numer. Math. 104, 561-572 (2006).
    • (2006) Numer. Math. , vol.104 , pp. 561-572
    • Zhang, L.1    Zhou, W.2    Li, D.H.3
  • 15
    • 33749621811 scopus 로고    scopus 로고
    • A descent modified Polak-Ribiére-Polyak conjugate gradient method and its global convergence
    • Zhang L., Zhou W., Li D. H.: A descent modified Polak-Ribiére-Polyak conjugate gradient method and its global convergence. IMA J. Numer. Anal. 26, 629-640 (2006).
    • (2006) IMA J. Numer. Anal. , vol.26 , pp. 629-640
    • Zhang, L.1    Zhou, W.2    Li, D.H.3
  • 16
    • 36549027868 scopus 로고    scopus 로고
    • A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy conditions for unconstrained optimization
    • Andrei N.: A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy conditions for unconstrained optimization. Applied Mathematics Letters. 21, 165-171 (2008).
    • (2008) Applied Mathematics Letters. , vol.21 , pp. 165-171
    • Andrei, N.1
  • 17
    • 77955943123 scopus 로고    scopus 로고
    • A hybrid conjugate gradient algorithm for unconstrained optimization as a convex combination of Hestenes-Stiefel and Dai-Yuan
    • Andrei N.: A hybrid conjugate gradient algorithm for unconstrained optimization as a convex combination of Hestenes-Stiefel and Dai-Yuan. Stud. Inf. Control 17, 55-70 (2008).
    • (2008) Stud. Inf. Control , vol.17 , pp. 55-70
    • Andrei, N.1
  • 18
    • 68949149079 scopus 로고    scopus 로고
    • Nonlinear conjugate gradient methods with sufficient descent condition for large-scale unconstrained optimization
    • Article ID 243290, 16 p. doi: 10. 1155/2009/243290 (2009)
    • Zhang, J., Xiao, Y., Wei, Z.: Nonlinear conjugate gradient methods with sufficient descent condition for large-scale unconstrained optimization. Math. Probl. Eng. Article ID 243290, 16 p. doi: 10. 1155/2009/243290 (2009).
    • Math. Probl. Eng
    • Zhang, J.1    Xiao, Y.2    Wei, Z.3
  • 20
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance profiles
    • Dolan E. D., Moré J. J.: Benchmarking optimization software with performance profiles. Math. Program. 91, 201-213 (2002).
    • (2002) Math. Program. , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.J.2
  • 21
    • 0001854432 scopus 로고
    • Nonlinear programming computational methods
    • J. Abadie (Ed.), Amsterdam: North-Holland
    • Zoutendijk G.: Nonlinear programming computational methods. In: Abadie, J. (ed.) Integer and Nonlinear Programming, pp. 37-86. North-Holland, Amsterdam (1970).
    • (1970) Integer and Nonlinear Programming , pp. 37-86
    • Zoutendijk, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.