Full length article: Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants

Authors:
J. Cacoq;B. De La Calle Ysern;G. LóPez Lagomasino
Affiliations:
Dpto. de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Universidad 30, 28911 Leganés, Spain;Dpto. de Matemática Aplicada, E. T. S. de Ingenieros Industriales, Universidad Politécnica de Madrid, José G. Abascal 2, 28006 Madrid, Spain;Dpto. de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Universidad 30, 28911 Leganés, Spain
Venue:
Journal of Approximation Theory
Year:
2013

Citing 3
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Abstract

We give a Montessus de Ballore type theorem for row sequences of Hermite-Pade 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 Pade approximation which contains, in particular, simultaneous Pade approximation and may be applied in the study of other systems of approximants as well.