论文信息 - A note on Thielen-fractions

A note on Thielen-fractions

In this paper we construct ann-fraction which is a generalization of a Thiele continued fraction. We prove that, under certain conditions, themth approximant of thisn-fraction solves the vector case of the rational interpolation problem.

Adhemar Bultheel | Paul Levrie

[1] P. R. Graves-Morris. Vector-valued Rational Interpolants II , 1984 .

[2] Martin H. Gutknecht,et al. Continued fractions associated with the Newton-Padé table , 1989 .

[3] P. R. Graves-Morris,et al. Reliable rational interpolation , 1980 .

[4] Adhemar Bultheel,et al. A new approach to the rational interpolation problem: the vector case , 1990 .

[5] P. R. Graves-Morris,et al. Vector valued rational interpolants I. , 1983 .

[6] Luc Wuytack. On Some Aspects of the Rational Interpolation Problem , 1974 .

[7] P. R. Graves-Morris,et al. Vector-valued, rational interpolants III , 1986 .

[8] Guido Claessens. On the structure of the Newton-Padé table , 1978 .