A new hybrid HS-DY conjugate gradient method

Proceedings - 4th International Joint Conference on Computational Sciences and Optimization, CSO 2011

Volumn , Issue , 2011, Pages 94-98

  Dong, Junli ^a   Jiao, Baocong ^a   Chen, Lanping ^a  

^a CAPITAL NORMAL UNIVERSITY   (China)

Author keywords

Conjugate gradient method; Global convergence; Unconstrained optimization; Wolfe line search

Indexed keywords

CONJUGATE GRADIENT ALGORITHMS; GLOBAL CONVERGENCE; LINE SEARCHES; NUMERICAL EXPERIMENTS; UNCONSTRAINED OPTIMIZATION; UNCONSTRAINED OPTIMIZATION PROBLEMS;

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION;

CONJUGATE GRADIENT METHOD;

EID: 80051960136     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CSO.2011.47     Document Type: Conference Paper

References (14)

1. G. Zoutendijk, Nonlinear programming computational methods, In: Integer and Nonlinear Programming, J. Abadie, ed, North-Holland, Amsterdam, 1970, 37-86.
2. E. Polak, G. Ribiere, Note sur la convergence de directions conjugées., Rev. Francaise Inform. Recherche Operationelle, 16 (1969): 35-43.
3. M. J. D. Powell, Nonconvex minimization calculations and the conjugate gradient method, Lecture Notes in Math, and Lee, I. (1989), A resource-based prioritized 1984, 1066: 121-141.
4. Y. H. Dai, Analysisi of conjugate gradient methods, Institute of Computational Mathematics and Scientific/Engineering Computing. Chinese Academy of Science (in Chinese), 1997.
5. M. J. D. Powell, Convergence properties of algorithms for nonlinear optimization, SIAM Review, 1986, 28 (4): 487-500. (Pubitemid 17481706)
6. Y. H. Dai, Y. Yuan, A Nonlinear Conjugate Gradient with a Strong Global Convergence Property, SIAM Journal of Optimization, 2000, 10: 177-182.
7. D. Touati-Ahmed and C. Storey, Efficient hybrid conjugate gradient techniques], J. Optim. Theory Appl, 1990, 64: 379-397. (Pubitemid 20680712)
8. Y. H. Dai, A family of hybrid conjugate gradient methods for unconstrained optimization, Mathematics of Computation, 2003(72): 1317-1328.
9. Y. H. Dai, Y. Yuan, An efficient hybrid conjugate gradient method for unconstrained optimization, Annals of Operations Research, 2001, 103: 33-47. (Pubitemid 33634399)
10. M. Al-Baali, Descent property and global convergence of the Flecther-Reeves method with inexact line search, IMAJ. Numer. Anal, 5 (1985), 121-124.
11. Z. Wei, S. Yao and L. Liu, The convergence Properties of some new conjugate gradient methods, Applied Mathematics and Computation, 183(2006), 1341-1350. (Pubitemid 46014680)
12. P. Wolfe, Convergence conditions for ascent methods, SIAM Review, 11 (1969), 226-235.
13. P. Wolfe, Convergence conditions for ascent methods, II:Some corrections SIAM Review, 13 (1971), 185-188.
14. J. J. Moré, B. S. Garbow, K. E. Hillstrom, Testing Unconstrained Optimization Software, ACM Transactions on Mathematical Software, 1981, 7 (1): 17-41.