弱条件下的α判据和Newton法  

CRITERION α AND NEWTON'S METHOD IN THE WEAK CONDITIONS

作　　者：王兴华[1] 韩丹夫[1] 

机构地区：[1]杭州大学数学与信息科学系

出　　处：《计算数学》1997年第1期103-112,共10页Mathematica Numerica Sinica

基　　金：国家攀登计划;浙江省自然科学基金

摘　　要：Under the assumption that the function is analytic, Smale presents a wellknown criterion α which is used to study the behaviours of the convergence of Newton’s method for finding zeros of a function and establishes a complete theory.In this paper we reestablish the whole theory of Smale’s in the assumption that the function is the second continuously differeatiable.Under the assumption that the function is analytic, Smale presents a wellknown criterion α which is used to study the behaviours of the convergence of Newton's method for finding zeros of a function and establishes a complete theory.In this paper we reestablish the whole theory of Smale's in the assumption that the function is the second continuously differeatiable.

关 键 词：弱条件 α判据 牛顿法 收敛性 

分 类 号：O242.23[理学—计算数学]