| 一族带积分信息的多点迭代函数 |
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| 引用本文： | 吴紫电.一族带积分信息的多点迭代函数[J].计算数学,1983,5(4):398-402. |
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| 作者姓名： | 吴紫电 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 构造求解非线性纯量方程f(x)=0的迭代法,通常使用的信息是f(x)及其前s阶导数在若干点上的值,即所谓f(x)的标准信息集?_(m,f),如下表示:
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A FAMILY OF MULTIPOINT ITERATIVE FUNCTIONS WITH INTEGRAL INFORMATIONS |
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| Institution: | Wu Zi-dian Shanghai Jiao-tong University |
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| Abstract: | 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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