%0 Journal Article
%T CONVERGENCE PROPERTIES OF THE PRECONVEX PART OF NON-QUASI-NEWTON''''S FAMILY
非拟牛顿非凸族的收敛性
%A Chen Lanping Jiao Baocong
%A
陈兰平
%A 焦宝聪
%J 计算数学
%D 2000
%I
%X In this paper, the non-quasi-Newton's family is investigated. A class of inexact linesearch procedures are used, which are combined with the non-quasi-Newton's family. We study the global convergence properties of the non-quasi-Newton's family, when applied to a convex objective function. We show global and superlinear convergence for this class methods on uniformly convex objective function.
%K preconvex part of non- quasi- Newton's family
%K unconstrained optimization
%K global convergence
%K superlinear convegence
非拟牛顿非凸族
%K 无约束优化
%K 全局收敛性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=FABAB3B0A6B68334376F12B8AB53E32C&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=38B194292C032A66&sid=F7BB24011DC0D223&eid=73648F51F187AC5E&journal_id=0254-7791&journal_name=计算数学&referenced_num=11&reference_num=7