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.
出处
《计算数学》
CSCD
北大核心
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
