Author(s)

Anwa Zhou, Zhibin Zhu, Hao Fan, Qian Qing

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In this paper, three new hybrid nonlinear conjugate gradient methods are presented, which produce suf?cient descent search direction at every iteration. This property is independent of any line search or the convexity of the objective function used. Under suitable conditions, we prove that the proposed methods converge globally for general nonconvex functions. The numerical results show that all these three new hybrid methods are efficient for the given test problems.

Conjugate Gradient Method, Descent Direction, Global Convergence

A. Zhou, Z. Zhu, H. Fan and Q. Qing, "Three New Hybrid Conjugate Gradient Methods for Optimization," Applied Mathematics, Vol. 2 No. 3, 2011, pp. 303-308. doi: 10.4236/am.2011.23035.