Numerical continued fraction interpolation

DOI10.1007/S11253-024-02344-5zbMATH Open1548.41012MaRDI QIDQ6633998

Oliver Salazar Celis

Publication date: 6 November 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

interpolationbest approximationcontinued fractioninterpolation pointsThiele algorithmalternant

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Cites Work

• Title not available (Why is that?)
• The asymptotic property of approximation to \(\mid x \mid\) by Newman's rational operators
• Instability and modification of Thiele interpolating continued fractions
• A treatise on the theory of determinants and their applications in analysis and geometry.
• An algorithm for best rational approximation based on barycentric rational interpolation
• On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices
• Rational approximation to \(|x|\)
• On approximation to an analytic function by rational functions of best approximation.
• The calculus of finite differences.
• NUMERICAL RESULTS ON BEST UNIFORM RATIONAL APPROXIMATION OF $ \vert x\vert$ ON $ \lbrack-1,\,+1\rbrack$
• Practical, Reliable, Rational Interpolation
• Numerical Stability in Evaluating Continued Fractions
• Rational Minimax Approximation via Adaptive Barycentric Representations
• An Algorithm for Real and Complex Rational Minimax Approximation
• The AAA Algorithm for Rational Approximation

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