【作者】 连淑君； 王长钰；

【Author】 Lian Shu-jun;Wang Chang-yu College of Operations and Management,Qufu Normal University Qufu, shandong, 273165 Department of Applied Mathematices,Dalian University of Technology, Dalian liaoning 116024

【机构】 曲阜师范大学运筹与管理学院； 大连理工大学应用数学系；

【摘要】 本文讨论一簇共轭梯度法,它可被看作是FR法和DY法的凸组合.我们提出了两种Armijo 型线搜索,在这两种线搜索下,讨论共轭梯度法簇的全局收敛性.更多还原

【Abstract】 In this paper,we investigate a class of conjugate gradient methods, whichcan be regarded as some kind of convex combination of the Fletcher-Reeves methodand the method proposed by Dai et al. Two Armijo-type line searches are proposedin this paper for nonlinear conjugate gradient methods. The two Armijo-type linesearches are shown to guarantee the global convergence of the class of conjugate gra-dient methods.更多还原