摘要
通过分析Ｎｉｃｋｅｌ球形Ｎｅｗｔｏｎ法，说明其应用范围的局限性．作为对Ｎｉｃｋｅｌ算法的推广，提出相应古典Ｎｅｗｔｏｎ法的球形变形公式，并证明这一新的球形Ｎｅｗｔｏｎ法在某些方面优于古典Ｎｅｗｔｏｎ法．
ased on the analySes of the limit on Nickel's ball Newton algorithm, a new ball version of the classical Newton algorithm for solving nonlinear operator equations has been presented. It is proved that the new version has several advantages over the classical one.
出处
《深圳大学学报（理工版）》
CAS
1995年第1期54-61,共8页
Journal of Shenzhen University(Science and Engineering)
关键词
球形算法
非线性
算子方程
牛顿法
ball iteration algorithm
region contraction algorithm
nonlinear operator equations
Newton method
contracting mapping
uniformly monotone mapping
