Abstract
A convergence theorem for vector valued Padé approximants (simultaneous Padé approximants) is established. The theorem is a natural extension of the theorem of de Montessus de Ballore for a row sequence of (scalar) Padé approximants. The result is also generalised to the case of vector valued (N-point) rational interpolants.
We are grateful to the SERC (UK) and to the NSF (US) for support from grants GR/C/41807 and MCS 80-03185.
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© 1984 Springer-Verlag
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Graves-Morris, P.R., Saff, E.B. (1984). A de montessus theorem for vector valued rational interpolants. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072414
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DOI: https://doi.org/10.1007/BFb0072414
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