Nonuniqueness of best rational Chebyshev approximations on the unit disk

DOI10.1016/0021-9045(83)90099-0zbMath0521.41012OpenAlexW2062734748MaRDI QIDQ1055638

Martin H. Gutknecht, Lloyd N. Threfethen

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90099-0

zbMATH Keywords

uniquenessunit diskPade approximantcomplex rational best Chebyshev approximations

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Padé approximation (41A21)

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Approximation of delay systems—a case study, The CF table, An Algorithm for Real and Complex Rational Minimax Approximation, Exponential node clustering at singularities for rational approximation, quadrature, and PDEs, Optimality and uniqueness conditions in complex rational Chebyshev approximation with examples, Real and complex Chebyshev approximation on the unit disk and interval, On computing best Chebyshev complex rational approximants

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