Computation of special functions by Padé approximants with orthogonal polynomial denominators

DOI10.1007/BF02142492zbMath0848.65006OpenAlexW2023653984MaRDI QIDQ1911445

Cathleen M. Craviotto, W. J. Thron, William B. Jones, Nancy J. Wyshinski

Publication date: 27 October 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142492

zbMATH Keywords

orthogonal polynomialscomputational experimentserror boundsLaurent polynomialscontinued fractionPadé approximantbackward recurrence algorithmnon-negative \(T\)-fractionsreal \(J\)-fractionsStieltjes fractions

Mathematics Subject Classification ID

Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Convergence and divergence of continued fractions (40A15)

Cites Work

• Rounding error analysis for forward continued fraction algorithms
• Continued fractions in numerical analysis
• Continued fractions with applications
• A survey of truncation error analysis for Padé and continued fraction approximants
• Truncation error estimates for Stieltjes fractions
• Procedures for Estimating the Error in Pade Approximation
• Numerical Stability in Evaluating Continued Fractions
• Efficient Computation of the Complex Error Function
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