预给极点的向量有理插值及性质  

ALGORITHMS AND PROPERTIES OF VECTOR VALUED RATIONAL INTERPOLANTS WITH PRESCRIBED POLES

作　　者：朱功勤[1] 檀结庆[1] 王洪燕 

机构地区：[1]合肥工业大学应用数学研究所,合肥230009

出　　处：《高等学校计算数学学报》2000年第2期97-104,共8页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金资助课题

摘　　要：Branched continued fraction and Samelson inverse are used to construct bivariate vector valued rational interpolants over rectangular grids with a prescribed set of poles. Some efficient algorithms are established for diagonal and nondiagonal interpolants problems. Their characterization, existance, uniqueness and remainder term are discussed.Branched continued fraction and Samelson inverse are used to construct bivariate vector valued rational interpolants over rectangular grids with a prescribed set of poles. Some efficient algorithms are established for diagonal and nondiagonal interpolants problems. Their characterization, existance, uniqueness and remainder term are discussed.

关 键 词：向量有理插值 预给极点 向量值函数 逼近 

分 类 号：O241.3[理学—计算数学] O241.5[理学—数学]