Rounding error analysis for forward continued fraction algorithms

DOI10.1016/0898-1221(85)90037-9zbMath0588.65018OpenAlexW2078634137MaRDI QIDQ1073539

Annie A. M. Cuyt, Paul van der Cruyssen

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90037-9

zbMATH Keywords

continued fractionrounding errorsforward error analysisStummel's perturbation theory

Mathematics Subject Classification ID

Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Computation of special functions by Padé approximants with orthogonal polynomial denominators ⋮ Some Sets of Relative Stability Under Perturbations of Branched Continued Fractions with Complex Elements and a Variable Number of Branches

Cites Work

• Unnamed Item
• Perturbation Theory for Evaluation Algorithms of Arithmetic Expressions
• Numerical Stability in Evaluating Continued Fractions
• Investigation of algorithms for numerical computation of continued fractions

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