极限周期连分式修正因子的一种新求法  

A new solution of the modifying factor of limit periodic continued fractions

作　　者：胡翔[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011

出　　处：《合肥工业大学学报（自然科学版）》2010年第2期313-315,共3页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省教育厅重点资助项目(KJ2008A027)

摘　　要：加速收敛在连分式理论中占有重要的地位,对连分式进行加速收敛最常用的方法是选择合适的修正因子;文章借助极限周期连分式与2-周期连分式的性质,针对极限周期连分式的修正因子给出一种新的选取方式,数值例子表明,新的修正因子使得连分式的收敛更快,精度更高。Convergence acceleration is important in the theory of continued fractions. Value may often be determined more quickly by using modifying factors. A new approach to computing the limit peri-odic continued fractions is given by means of the property of limit periodic continued fractions and 2- periodic continued fractions. The choice of modifying factors will become easy by the use of the new algorithm. At last,an example is given to illustrate the validity of the new algorithm.

关 键 词：极限周期连分式 2-周期连分式 修正因子 

分 类 号：O242.2[理学—计算数学]