中文摘要：

本文研究了一种新的求解无约束优化问题的非线性共轭梯度方法，其能够在广义Wolfe线搜索下保证充分下降条件gk^Tdk≤-（1-σ）││gk││^2，并且具有全局收敛性，改进了传统CD方法（Fletcher，1987，[1]）的缺陷．最后，通过与著名的CD方法（Fletcher，1987，[1]）和PRP方法（Polak，RibireI[2]，Polak[3]，19691比较，结果显示新方法具有一定的研究意义．

英文摘要：

In this paper, a new nonlinear conjugate gradient method is studied to solve the unconstrained optimization problems, which can guarantee the sufficient descent property： T gk^T dk 〈 -（1 -σ）││gk││2 and global convergence property under the general Wolfe line search con- ditions, and improve the CD method （Fletcher R, 1987, [1] ） defects. In the last part, numerical results are reported which show that the proposed method has a certain research significance by comparing with the famous CD method （Fletcher R, 1987, [1]） and the famous PRP method （Polak n,Ribire G [2], Polak B.T [3], 1969 ）.