A general algorithm for pade approximation to formal power series
A general algorithm for constructing an interpolating function from a linear family of functions forming a Chebyshev system has been given by Brezinski in . This algorithm was extended to generalized rational interpolation  and is applied to the Pade-type approximants for the series of functions in . 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.
SubjectsField of Research::01 - Mathematical Sciences::0103 - Numerical and Computational Mathematics
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