Rational Carathéodory-Fejér approximation on a disk, a circle, and an interval

DOI10.1016/0021-9045(84)90101-1zbMath0543.41016OpenAlexW2022323026MaRDI QIDQ796008

Martin H. Gutknecht

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90101-1

zbMATH Keywords

weight functionsCF methodCarathéodory-Fejér methodnear-best uniform rational approximationTakagi's extension

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

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A de Montessus-type theorem for CF approximation, Singular value decompositions of complex symmetric matrices, Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform, A bootstrap method for sum-of-poles approximations, The CF table, A robust implementation of the Carathéodory-Fejér method for rational approximation, Boundary value problems and best approximation by holomorphic functions, A constructive method for an approximate solution to scalar Wiener–Hopf equations, Unnamed Item

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