Non-uniqueness of rational best approximants

DOI10.1016/S0377-0427(99)00032-1zbMath0967.30022MaRDI QIDQ1301951

Laurent Baratchart, Herbert R. Stahl, Franck Wielonsky

Publication date: 30 August 2001

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

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Uniqueness of best approximation (41A52)

Related Items (3)

Cyclic AFD algorithm for the best rational approximation ⋮ Asymptotic error for \(L^2\) best rational approximants to Markov functions ⋮ Zero distributions via orthogonality.

Cites Work

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• Identification and rational \(L^ 2\) approximation: A gradient algorithm
• Index of critical points in rational \(\ell\) 2-approximation
• Rational approximation in the real Hardy space \(H_ 2\) and Stieltjes integrals: A uniqueness theorem
• A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation
• Existence and Generic Properties of L² Approximants for Linear Systems
• Asymptotic uniqueness of best rational approximants of given degree to Markov functions in \({\mathcal L}^2\) of the circle

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