一类带参数的修正Fletcher-Reeves共轭梯度法

A CLASS OF MODIFIED FLETCHER-REEVES CONJUGATE GRADIENT METHODS WITH A PARAMETER

提出了求解无约束优化问题的一类带参数的Fletcher-Reeves共轭梯度法(FR方法).结合Armijo非精确线性搜索技术,证明了所提出的方法在较弱的条件下是全局收敛的.数值实验表明所提出的方法是有效的.

This paper proposed a class of modified Fletcher Reeves conjugate gradient methods with a papameter,and proved its global converence under mild conditions by employing Armijo inexact line scarch technique. The numerical results show that the proposed methods are e{ficient.