메뉴 건너뛰기




Volumn 202, Issue 2, 2008, Pages 766-770

Global convergence of a modified spectral FR conjugate gradient method

Author keywords

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

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; GRADIENT METHODS;

EID: 48049103902     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.03.020     Document Type: Article
Times cited : (20)

References (14)
  • 1
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R., and Reeves C. Function minimization by conjugate gradients. Comput. J. 7 (1964) 149-154
    • (1964) Comput. J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.2
  • 2
    • 0001854432 scopus 로고
    • Nonlinear programming computational methods
    • Abadie (Ed), North-Holland, Amsterdam
    • Zoutendijk G. Nonlinear programming computational methods. In: Abadie (Ed). Integer and Nonlinear Programming (1970), North-Holland, Amsterdam 37-86
    • (1970) Integer and Nonlinear Programming , pp. 37-86
    • Zoutendijk, G.1
  • 3
    • 77957214026 scopus 로고
    • Descent property and global convergence of the Fletcher-Reeves method with inexact line search
    • Al-Baali A. Descent property and global convergence of the Fletcher-Reeves method with inexact line search. IMA J. Numer. Anal. 5 (1985) 121-124
    • (1985) IMA J. Numer. Anal. , vol.5 , pp. 121-124
    • Al-Baali, A.1
  • 4
    • 0033266804 scopus 로고    scopus 로고
    • A nonlinear conjugate gradient method with nice global convergence properties
    • Dai Y., and Yuan Y. A nonlinear conjugate gradient method with nice global convergence properties. SIAM J. Optimiz. 10 (1999) 177-182
    • (1999) SIAM J. Optimiz. , vol.10 , pp. 177-182
    • Dai, Y.1    Yuan, Y.2
  • 5
    • 51649138005 scopus 로고
    • Global convergence of the Fletcher-Reeves method with inexact line search
    • Liu G., Han J., and Yin H. Global convergence of the Fletcher-Reeves method with inexact line search. Appl. Math. J. Chin. Univ. Ser. B 10 (1995) 75-82
    • (1995) Appl. Math. J. Chin. Univ. Ser. B , vol.10 , pp. 75-82
    • Liu, G.1    Han, J.2    Yin, H.3
  • 6
    • 0002824920 scopus 로고
    • Global convergence properties of conjugate gradient methods for optimization
    • Gilbert J.C., and Nocedal J. Global convergence properties of conjugate gradient methods for optimization. SIAM J. Optimiz. 2 (1992) 21-24
    • (1992) SIAM J. Optimiz. , vol.2 , pp. 21-24
    • Gilbert, J.C.1    Nocedal, J.2
  • 7
    • 0026142704 scopus 로고
    • Efficient generalized conjugate gradient algorithms, part 1: theory
    • Liu Y., and Storey C. Efficient generalized conjugate gradient algorithms, part 1: theory. J. Optimiz. Theory Appl. 69 (1991) 129-137
    • (1991) J. Optimiz. Theory Appl. , vol.69 , pp. 129-137
    • Liu, Y.1    Storey, C.2
  • 8
    • 48049117368 scopus 로고    scopus 로고
    • A class of efficient new descent methods
    • (in Chinese)
    • Pan C., and Chen L. A class of efficient new descent methods. ACTA Math. Appl. 30 (2007) 88-98 (in Chinese)
    • (2007) ACTA Math. Appl. , vol.30 , pp. 88-98
    • Pan, C.1    Chen, L.2
  • 9
    • 0035732192 scopus 로고    scopus 로고
    • Convergence of conjugate gradient methods without line search
    • Sun J., and Zhang J. Convergence of conjugate gradient methods without line search. Ann. Operat. Res. 103 (2001) 161-173
    • (2001) Ann. Operat. Res. , vol.103 , pp. 161-173
    • Sun, J.1    Zhang, J.2
  • 10
    • 0031542191 scopus 로고    scopus 로고
    • The Barzilain and Borwein gradient method for the large unconstrained minimization problem
    • Raydan M. The Barzilain and Borwein gradient method for the large unconstrained minimization problem. SIAM J. Optimiz. 7 (1997) 26-33
    • (1997) SIAM J. Optimiz. , vol.7 , pp. 26-33
    • Raydan, M.1
  • 11
    • 0141467950 scopus 로고    scopus 로고
    • A spectral conjugate gradient method for unconstrained optimization
    • Birgin E.G., and Martinez J.M. A spectral conjugate gradient method for unconstrained optimization. Appl. Math. Optimiz. 43 (2001) 117-128
    • (2001) Appl. Math. Optimiz. , vol.43 , pp. 117-128
    • Birgin, E.G.1    Martinez, J.M.2
  • 12
    • 33749239442 scopus 로고    scopus 로고
    • Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
    • Zhang L., Zhou W., and Li D. Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search. Numer. Math. 104 (2006) 561-572
    • (2006) Numer. Math. , vol.104 , pp. 561-572
    • Zhang, L.1    Zhou, W.2    Li, D.3
  • 13
    • 33748299118 scopus 로고    scopus 로고
    • Further insight into the Shamanskii modification of Newton method
    • Wang C., Chen Y., and Du S. Further insight into the Shamanskii modification of Newton method. Appl. Math. Comput. 180 (2006) 46-52
    • (2006) Appl. Math. Comput. , vol.180 , pp. 46-52
    • Wang, C.1    Chen, Y.2    Du, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.