Numerical Stability in Evaluating Continued Fractions

DOI10.2307/2005701zbMath0292.65009OpenAlexW4242227656MaRDI QIDQ4044046

W. J. Thron, William B. Jones

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2005701

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) Continued fractions; complex-analytic aspects (30B70)

Related Items

Computation of special functions by Padé approximants with orthogonal polynomial denominators, Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\), Stability in the Calculation of Two-Dimensional Continued Fractions, On the transient solution of nondeterministic systems, Validated Evaluation of Special Mathematical Functions, Nested-feedback-loops realization of 2-D systems, On the computation of incomplete gamma functions in the complex domain, Rounding error analysis for forward continued fraction algorithms

Cites Work

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• A survey of recent convergence results for continued fractions
• Numerical Evaluation of Continued Fractions
• Convergence of Continued Fractions
• Computational Aspects of Three-Term Recurrence Relations
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis