A general algorithm for pade approximation to formal power series
S.L. Loi · UC Research Repository (University of Canterbury) · 1982
A general algorithm for constructing an interpolating function from a linear family of functions forming a Chebyshev system has been given by Brezinski in [1]. This algorithm was extended to generalized rational interpolation [7] and is applied to the Pade-type approximants for the series of functions in [1]. A question arises as to whether this algorithm could be extended to generalize the Pade approximation to a formal power series f(x). Before the discussion, we recall some basic definitions.