预给极点的混合有理插值  

Mixed Rational Interpolation with Prescribed Poles

作　　者：张玉武[1] Zhang Yu-wu(Foundation Department,Lu’an College of Vocational Technology,Lu’an 237158,China)

机构地区：[1]六安职业技术学院基础部

出　　处：《洛阳师范学院学报》2019年第5期11-14,共4页Journal of Luoyang Normal University

基　　金：国家自然科学基金资助项目(60973050);安徽省质量工程重点教学研究项目(2013jyxm335);六安职业技术学院课程教学改革专题立项项目(2012yjzxjg014);六安职业技术学院课程教学改革专题立项项目(2013yjzxjg040)

摘　　要：在插值区间的子区间上基于Thiele型连分式构造插值函数,将连分式插值函数嵌入到重心有理插值之中,并结合预给极点的信息构造混合有理插值.新构造的混合有理插值提高了插值精度,数值例子表明新方法具有很好的逼近效果.The interpolation function is constructed based on the Thiele-type continued fraction on the subinterval of the interpolation interval. The Thiele-type continued fraction interpolation function is embedded in the barycentric rational interpolation, and the composite rational interpolation is constructed by combining the information of prescribed poles. The new composite rational interpolation method improves the interpolation accuracy, and numerical examples show that the new method has a good approximation effect.

关 键 词：极点 Thiele型连分式 有理函数 逼近 

分 类 号：O24[理学—计算数学]