In this paper, a new kind of bivariate vector valued rational interpolants is recursively established by means of Samelson inverse, with scalar numerator and vector valued denominator. It is essentially different from...In this paper, a new kind of bivariate vector valued rational interpolants is recursively established by means of Samelson inverse, with scalar numerator and vector valued denominator. It is essentially different from that of Zhu Gong-qin and Gu Chuan-qing (1990) where the interpolants are constructed by Thiele-type continued fractions with vector valued numerator and scalar denominator. The new approach is more suitable to calculate the value of a vector valued function for a given point.展开更多
文摘In this paper, a new kind of bivariate vector valued rational interpolants is recursively established by means of Samelson inverse, with scalar numerator and vector valued denominator. It is essentially different from that of Zhu Gong-qin and Gu Chuan-qing (1990) where the interpolants are constructed by Thiele-type continued fractions with vector valued numerator and scalar denominator. The new approach is more suitable to calculate the value of a vector valued function for a given point.
