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连分式算法插值顺序的有效安排
引用本文:邱会中.连分式算法插值顺序的有效安排[J].电子科技大学学报(社会科学版),1989(3).
作者姓名:邱会中
作者单位:电子科技大学应用数学系
摘    要:n节连分式算法是一个实用的一维搜索方法。构造连分式插位函数时,部分分母的计算在该算法中占有较大的比重,本文通过对插值点先后顺序的有效安排,使得部分分母的计算量下降近三分之一。最后,对该算法可能遇到的数值困难提供了一个实施方案。

关 键 词:一维搜索  连分式  插值顺序  部分分母  计算量

AN EFFECTIVE ARRANGEMENT TO THE INTERPOLATION SEQUENCE OF THE CONTINUED FRACTION ALGORITHM
Qiu Hueizhong.AN EFFECTIVE ARRANGEMENT TO THE INTERPOLATION SEQUENCE OF THE CONTINUED FRACTION ALGORITHM[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1989(3).
Authors:Qiu Hueizhong
Institution:Dept.of Applied mathematics
Abstract:N-joint continued fraction algorithm is a practical method for one dimensional research. The main work in this method is to calculate the part-denominator, involved by the arrangement of the interpolation sequence. By the original procedure, all of the part-denominator must be calculated time by time.A new procedure to arrange the interpolation sequence is presented. With this procedure, some of the part-denominator can be obtained directly from the last iteration. Thus the amount of the part-denominator calculation can be put down at the rate about 1/3.
Keywords:one dimension research  continued fraction  interpolation sequence  part-denominator  calculation amount
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