Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture.
type: Item
instance of: scholarly article
title: Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture.
zbMATH Open document ID: 1037.41008
author: George A. jun. Baker
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: The Buslaev's and the Lubinsky's counter-examples are discussed in this work. These counter-examples are connected with the Baker-Gammel-Wills conjecture in the theory of the Padé approximation. The author shows that both counter-examples are relevant to the original form of conjecture and associated with bounded \(J\)-matrix. The convergence of diagonal Padé approximants to functions which have bounded \(J\)-matrix is proved.
reviewed by: Mykhaylo Pahirya
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 2032601
zbMATH Keywords: Padé approximants
zbMATH Keywords: Baker-Gammel-Wills conjecture
zbMATH Keywords: Spurious poles
Wikidata QID: Q123356888
describes a project that uses: Algorithm 524
MaRDI profile type: Publication
full work available at URL: j.cam.2003.05.005
OpenAlex ID: W1974981734
cites work: Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
cites work: Q4076249
cites work: Convergence of Padé approximants using the solution of linear functional equations
cites work: A Theorem on the Convergence of Padé Approximants
cites work: An investigation of the applicability of the Padé approximant method
cites work: Q4856607
cites work: On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator
cites work: Complex Jacobi matrices
cites work: Q5290976
cites work: On the Baker-Gammel-Wills conjecture in the theory of Padé approximants
cites work: Decay Rates for Inverses of Band Matrices
cites work: Convergence of Padé approximants to quasianalytic functions beyond natural boundaries
cites work: Q5574105
cites work: ON UNIFORM CONVERGENCE OF DIAGONAL PADÉ APPROXIMANTS
cites work: Q5835375
cites work: Partitions and Ramanujan's continued fraction
cites work: Q3889331
cites work: Rogers-Ramanujan and the Baker-Gammel-Wills (Padé) conjecture
cites work: Q3259279
cites work: Asymptotics of diagonal Hermite-Padé polynomials
cites work: Padé approximants and convergence in capacity
cites work: Q5289009
cites work: Q4000342
cites work: The convergence of diagonal Padé approximants and the Padé conjecture
cites work: The convergence of Padé approximants to functions with branch points
cites work: Q5792555
DOI: 10.1016/J.CAM.2003.05.005
Recommended article: Conjectures around the Baker-Gammel-Wills conjecture
Recommended article: Q5290976
Recommended article: A counterexample to a conjecture of Bass, Connell and Wright
Recommended article: A counter example on a Borsuk conjecture
Recommended article: Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence
Recommended article: Reflections on the Baker–Gammel–Wills (Padé) Conjecture
Recommended article: A counterexample to Bueler’s conjecture
Recommended article: A counterexample to Gurjar–Zhang’s conjectures
Recommended article: A counterexample to Borsuk’s conjecture
Recommended article: On counterexamples to the Hughes conjecture.
description: scientific article; zbMATH DE number 2032601