Abstract
The global convergence of the general three-term conjugate gradient methods with the relaxed strong Wolfe line-search is proved.
Similar content being viewed by others
References
Beale, E. M. L., A derivative of conjugate gradients, In: Lootsma, F. A., ed., Numerical methods for nonlinear optimization, Academic Press, London, 1972, 39–43.
Powell, M. J. D., Restart procedures of the conjugate gradient method, Math. Program, 1977, 2: 241–254.
Deng, N. Y., Li, Z. F., Global convergence of three terms conjugate gradient methods, Optimization Method and Software, 1995, 4: 273–282.
Dai, Y. H., Yuan, Y. X., Convergence of three-term conjugate gradient methods, Mathematica Numerica Sinica, 1999, 3: 355–362.
Gilbert, J. C., Nocedal, J., Global convergence properties of conjugate gradient methods for optimization, SIAM J. Optimization, 1992, 2: 21–42.
Zoutendijk, G., Nonlinear Programming, In: Abadie, J., ed., Computational Methods, Integer and Nonlinear Programming, North-Holland Amsterdam, 1970, 37–86.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zeshui, X., Zhenjun, Y. Global convergence of the general three-term conjugate gradient methods with the relaxed strong wolfe line-search. Appl. Math.- J. Chin. Univ. 16, 58–62 (2001). https://doi.org/10.1007/s11766-001-0037-8
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11766-001-0037-8