文献类型：期刊文献

中文题名：Levin变换应用于欧拉常数数列及连分式数列改进算法的加速收敛

英文题名：Application of the General Levin Transformation to a Modified Continued Fraction Sequence towards Euler’s Constant for Improvingthe Rate of Convergence

作者：姚清照[1];贺黎明[1]

机构：[1]华东理工大学理学院,上海200237

年份：2021

卷号：37

期号：1

起止页码：5

中文期刊名：大学数学

外文期刊名：College Mathematics

语种：中文

中文关键词：加速收敛;通用Levin变换;连分式;欧拉常数;舍入误差

外文关键词：acceleration of convergence;the general Levin transformation;a continued fraction;Euler’s constant;round-off errors

摘要：利用Lu等人通过连分式修正更快收敛的欧拉常数数列及其相关余项式,进一步采用Levin变换进行二次加速,特别是在克服舍入误差的情况下,就能更有效地计算出欧拉常数的高精度数值结果.
Lu et al.have derived a continued fraction sequence which converges to the Euler’s constant faster than the original sequence.One can accelerate the modified sequence with the remainder estimate by using the general Levin transformation and accurate numerical results can be obtained more efficiently,especially when computer algebra system Maple is used to get rid of round-off errors.