Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence
type: Item
instance of: scholarly article
title: Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence
zbMATH Open document ID: 1070.41008
author: George A. jun. Baker
published in: Journal of Computational and Applied Mathematics
publication date: 2005-06-01T00:00:00Z
review text: This paper is the continuation of the author's investigation. It is connected with the convergence of Padé approximants, several conjectures concerning the pointwise convergence of the diagonal Padé approximants and counter-examples to all of them. All counter-examples correspond to bounded associated continued fractions (Wall's family of complex, bounded \(J\)-matrix). The extended convergence results are given. A new conjecture called patchwork conjecture is proposed. Bibliography contains 18 sources.
reviewed by: Mykhaylo Pahirya
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 40A15
Mathematics Subject Classification ID: 30B70
zbMATH DE Number: 2173185
zbMATH Keywords: Padé approximants
zbMATH Keywords: Baker--Gammel--Wills conjecture
zbMATH Keywords: spurious poles
Wikidata QID: Q122946354
MaRDI profile type: Publication
full work available at URL: j.cam.2004.09.031
OpenAlex ID: W2073695097
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DOI: 10.1016/J.CAM.2004.09.031
description: scientific article; zbMATH DE number 2173185