• 论文 •

一族带积分信息的多点迭代函数

1. 上海交通大学
• 出版日期:1983-04-14 发布日期:1983-04-14

A FAMILY OF MULTIPOINT ITERATIVE FUNCTIONS WITH INTEGRAL INFORMATIONS

1. Wu Zi-dian Shanghai Jiao-tong University
• Online:1983-04-14 Published:1983-04-14

A Family of multipoint iterative functions with integral informations are construct-ed in this paper. It is shown that the order of convergence for the iterative functionwhich requires 1 evaluaion of f and n-1 evaluations of integral informations is about5×(1+2~(1/2))~(n-3). The application of these iterations in practice is profitable if the eva-luation cost of the value of integral is approximately equal to the evaluation cost offunction or its derivatives.
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 [1] H. T. Kung, J. F. Traub. Optimal Order of One-Point and Multipoint Iteration,J. ACM,21,4(1974) , 643--651． [2] B. Kacewicz, An Integral-Interpolation Iterative Method for The Solution of Scalar Equations,Numer. Math., 26, 4(1976) ,355-365．
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