DUALITY IN PADE-TYPE APPROXIMATION

被引：3
|
作者：
BREZINSKI, C [1 ]
机构：
[1] UNIV LILLE 1,ANAL NUMER & OPTIMISAT,F-59655 VILLENEUVE DASCQ,FRANCE
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 03期
关键词：
Padé; approximation; rational approximation; series;
D O I：
10.1016/0377-0427(90)90285-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Padé and Padé-type approximants are usually defined by replacing the function (1 - xt)-1 by its Hermite (that is confluent) interpolation polynomial and then applying the functional c defined by c(xi) = ci where the ci's are the coefficients of the series to be approximated. In this paper the functional d which, applied to (1 - xt)-1, gives the same Padé or Padé-type approximant as before is studied. It can be considered as the dual of the interpolation operator applied to the functional c. © 1990.
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页码：351 / 357
页数：7
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