The fitzpatrick algorithm, which seeks a Grobner basis for the solution of a system of polynomial congruences, can be applied to compute a rational interpolant. Based on the fitzpatrick algorithm and the properties of...
详细信息
The fitzpatrick algorithm, which seeks a Grobner basis for the solution of a system of polynomial congruences, can be applied to compute a rational interpolant. Based on the fitzpatrick algorithm and the properties of an Hermite interpolation basis, we present a Neville-like algorithm for multivariate osculatory rational interpolation. It may be used to compute the values of osculatory rational interpolants at some points directly without computing the rational interpolation function explicitly.
In this paper, we first apply the fitzpatrick algorithm to osculatory rational interpolation. Then based on a fitzpatrick algorithm, we present a Neville-like algorithm for Cauchy interpolation. With this algorithm, w...
详细信息
In this paper, we first apply the fitzpatrick algorithm to osculatory rational interpolation. Then based on a fitzpatrick algorithm, we present a Neville-like algorithm for Cauchy interpolation. With this algorithm, we can determine the value of the interpolating function at a single point without computing the rational interpolating function. (c) 2011 Elsevier B.V. All rights reserved.
In this paper,the authors first apply the fitzpatrick algorithm to multivariate vectorvalued osculatory rational *** based on the fitzpatrick algorithm and the properties of an Hermite interpolation basis,the authors ...
详细信息
In this paper,the authors first apply the fitzpatrick algorithm to multivariate vectorvalued osculatory rational *** based on the fitzpatrick algorithm and the properties of an Hermite interpolation basis,the authors present a fitzpatrick-Neville-type algorithm for multivariate vector-valued osculatory rational *** may be used to compute the values of multivariate vector-valued osculatory rational interpolants at some points directly without computing the interpolation function explicitly.
暂无评论