Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants

Details Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants

2011-11-11

arxiv.org/abs/1111.2774v1

Mathematics

Complex Variables

20 pages

Scientific paper

We give a Montessus de Ballore type theorem for row sequences of Hermite-Pad\'e approximations of vector valued analytic functions refining some results in this direction due to P.R. Graves-Morris and E.B. Saff. We do this introducing the notion of incomplete Pad\'e approximation which contains, in particular, simultaneous Pad\'e approximation and may be applied in the study of other systems of approximants as well.

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