Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture.

DOI10.1016/j.cam.2003.05.005zbMath1037.41008OpenAlexW1974981734WikidataQ123356888 ScholiaQ123356888MaRDI QIDQ1421204

George A. jun. Baker

Publication date: 26 January 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.05.005

zbMATH Keywords

Padé approximantsBaker-Gammel-Wills conjectureSpurious poles

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70)

Related Items

Reflections on the Baker–Gammel–Wills (Padé) Conjecture, On uniform convergence of diagonal multipoint Padé approximants for entire functions, Counter-examples to the Baker--Gammel--Wills conjecture and patchwork convergence, On Baker's patchwork conjecture for diagonal Padé approximants

Uses Software

• Algorithm 524

Cites Work

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• Rogers-Ramanujan and the Baker-Gammel-Wills (Padé) conjecture
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• Decay Rates for Inverses of Band Matrices
• Convergence of Padé approximants using the solution of linear functional equations
• A Theorem on the Convergence of Padé Approximants
• On the Baker-Gammel-Wills conjecture in the theory of Padé approximants
• Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
• Complex Jacobi matrices
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