Author(s)

Hao Fan, Zhibin Zhu, Anwa Zhou

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In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimization. The sufficient descent property holds without any line searches. We use some steplength technique which ensures the Zoutendijk condition to be held, this method is proved to be globally convergent. Finally, we improve it, and do further analysis.

Large Scale Unconstrained Optimization, Conjugate Gradient Method, Sufficient Descent Property, Globally Convergent

H. Fan, Z. Zhu and A. Zhou, "A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1119-1123. doi: 10.4236/am.2011.29154.