连分式的逼近计算及其Mathematica实现  

Approximation Calculation of Continued Fraction and Its Realization in Mathematica Software

作　　者：李声锋[1] 陈栋栋[1] 

机构地区：[1]蚌埠学院应用数学研究所,安徽蚌埠233030

出　　处：《重庆科技学院学报（自然科学版）》2015年第4期122-124,共3页Journal of Chongqing University of Science and Technology：Natural Sciences Edition

基　　金：安徽省高校自然科学研究重点项目"基于连分式平台的数值计算与图像修复的研究"(KJ2013A183);蚌埠学院科研基金"基于连分式理论的数值计算研究"(2013XSKY06)

摘　　要：在利用连分式逼近函数的近似计算过程中,依据Mathematica软件编写相应程序,快速实现连分式的逼近计算。对计算结果与多项式级数逼近结果进行比较,结果显示出近似计算连分式的优越性。In the course of approximate calculation by continued fraction approximating a function, some programs are written in Mathematica software that is a powerful symbolic computation language. Approximate calculation of continued fraction is executed quickly, and the numerical results of continued fraction approximation are compared with the approximate results by using polynomial series. It is shown that continued fraction is a kind of effective and better method in approximate computation.

关 键 词：连分式 MATHEMATICA软件 级数 近似计算 

分 类 号：O241.5[理学—计算数学]