提出一类求解无约束优化问题的修正LS共轭梯度法,算法采用一个新的参数公式.在适当条件下,证明算法满足充分下降条件,进而证明在采用广义Wolfe-Powell线搜索和强Wolfe-Powell线搜索时,算法全局收敛.初步的数值试验结果显示方法是有效的.
This paper propose a modified LS conjugate gradient method in which the new parameter formula is adopted for unconstrained optimization. Under mile conditions, They prove that the method pos- sesses descent property. And the global convergence of the proposed formula with the generalized Wolfe- Powell line search and the strong Wolfe-Powell line search are proved. Preliminary numerical experiments results show that the proposed methods are efficient.