计算机工程与应用2012，Vol.48Issue(32)：56-59,207,5.DOI:10.3778/j.issn.1002-8331.1206-0072
二元切触有理插值函数的构造方法
Method of constructing bivariate osculatory rational interpolation function
摘要
Abstract
The methods of constructing bivariate osculatory rational interpolation function are mostly based on the continued fraction. But feasibility of the algorithm is conditional, the computation is large, and the degree of it is high. It constructs the bivariate osculatory rational interpolation function and extends it to vector-valued case, by means of the method of piecewise combination. It not only solves the existence problem of osculatory rational interpolation function, but also reduces the degree of rational function. Compared to other methods, the course of constructing function is formulary, the degree of rational interpolation function is lower, the feasibility of algorithm is unconditional, and the algorithm needs less computation and facilitates the practical application.关键词
二元切触有理插值/分段组合/插值公式/二元埃米特插值Key words
bivariate osculatory rational interpolation/ piecewise combination/ interpolation formula/ bivariate Her-mite interpolation分类
数理科学引用本文复制引用
荆科,康宁,王茂华..二元切触有理插值函数的构造方法[J].计算机工程与应用,2012,48(32):56-59,207,5.基金项目
国家特色专业(数学与应用数学)(No.TS11496) （数学与应用数学）
安徽省高等学校省级教学质量与教学改革工程重点项目(No.20101984) （No.20101984）
阜阳师范学院科研项目(No.2012FSKJ07). （No.2012FSKJ07）
