Inverse results on row sequences of Hermite-Padé approximation

2017/01/17 by G. López Lagomasino, Lagomasino, G. López, Y. Zaldivar Gerpe +1
Mathematics · #Mathematical functions and polynomials #Advanced Mathematical Identities #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.1701.04797

Abstract

We consider row sequences of (type II) Hermite-Padé approximations with common denominator associated with a vector \bf f of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of \bf f and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Padé approximants.

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