A new kind of bivariate vector-valued rational interpolants is recursively estab- lished by means of Samelson inverse over rectangular grids, with scalar numerator and vector-valued denominator. In this respect, it is...A new kind of bivariate vector-valued rational interpolants is recursively estab- lished by means of Samelson inverse over rectangular grids, with scalar numerator and vector-valued denominator. In this respect, it is essentially different from that of the previous work. Sufficient conditions for existence, characterization and uniqueness in some sense are proved respectively. And the resluts in the paper are illustrated with some numerical examples.展开更多
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A new kind of bivariate vector-valued rational interpolants is recursively estab- lished by means of Samelson inverse over rectangular grids, with scalar numerator and vector-valued denominator. In this respect, it is essentially different from that of the previous work. Sufficient conditions for existence, characterization and uniqueness in some sense are proved respectively. And the resluts in the paper are illustrated with some numerical examples.
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.
