The differential correction algorithm for generalized rational functions

DOI10.1007/BF01890568zbMath0635.65013MaRDI QIDQ1097630

M. J. D. Powell, E. W. Cheney

Publication date: 1987

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

order of convergencesuperlinear convergencedifferential correction algorithmgeneralized rational approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Algorithms for approximation of functions (65D15)

Related Items

An algorithm for Chebyshev approximation by rationals with constrained denominators, Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices, The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators, Approximation in normed linear spaces

Cites Work

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• Uniform approximation by rational functions having restricted denominators
• Two new algorithms for rational approximation
• Stability of Differential Correction for Rational Chebyshev Approximation
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation
• A Comparison of Algorithms for Rational l ∞ Approximation