A recurrence algorithm for the convergents of continued fractions and its applications

被引：0

作者：

Xiao, Ping ^{[1
]}

机构：

[1] Coll. of Math. and Comp. Sci., Cent. South Univ., Changsha 410083, China

来源：

Zhongnan Gongye Daxue Xuebao/Journal of Central South University of Technology | 2002年 / 33卷 / 05期

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摘要：

A new recurrence algorithm for the difference of any two convergents of continued fractions by means of the modified backward recurrence formula is presented. Then, a new convergence criteria for continued fractions is obtained and truncation error bound 0(dn) (d less than or equal 1) is given. Some numerical examples are given to explain the difference between new convergence theorem and the existing convergence theorem. Finally, using this algorithm, a more refined truncation error bound is given for the continued fractions of Worpitzky's type.

引用

页码：547 / 549