计算机工程与应用Issue(17)：58-62,5.DOI:10.3778/j.issn.1002-8331.1305-0057
矩形网格上二元矩阵切触有理插值的新方法
New method of bivariate matrix osculatory rational interpolation on rect-angular grids
摘要
Abstract
The well-known algorithms of the matrix osculatory rational interpolations are all related to continued fractions, con-tinued fraction method not only needs a high computation but also is difficult to avoid"poles and inaccessible points". In this paper, the grid points are applied to construct the rational interpolation base functions, the type value points are applied to construct each order matrix interpolation operators of inheritedness, by interpolation basis functions and interpolation operators do linearity operation, bivariate matrix each order osculatory rational interpolation functions are produced to effectively avoid"poles and inac-cessible points"problem of rational interpolation. If the appropriate parameters are selected, it can reduce degree of the interpola-tion functions arbitrarily, a numerical example shows the method is simple and effective practical.关键词
矩形网格/二元矩阵/切触有理插值Key words
rectangular grid/bivariate matrix/osculatory rational interpolation分类
数理科学引用本文复制引用
经慧芹,张桂芳,廖永宜..矩形网格上二元矩阵切触有理插值的新方法[J].计算机工程与应用,2013,(17):58-62,5.基金项目
国家自然科学基金（No.51066003）；云南省自然科学基金（No.2011FZ025）。 （）
