Recent results relevant to the evaluation of infinite series

DOI10.1016/0377-0427(83)90011-0zbMath0555.40001OpenAlexW2088630517MaRDI QIDQ760619

C. R. Garibotti, Fernando F. Grinstein

Publication date: 1983

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(83)90011-0

zbMATH Keywords

convergence accelerationShanks transformation

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Padé approximation (41A21)

Related Items (3)

Survey of numerical stability issues in convergence acceleration ⋮ An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis ⋮ Acceleration of convergence of general linear sequences by the Shanks transformation

Cites Work

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• Sequence transformations and their applications
• Evaluation of infinite series by use of continued fraction expansions: A numerical study
• Accélération de la convergence en analyse numérique
• Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
• Summation of partial wave expansions in the scattering by long range potentials. II. Numerical applications
• Summation of partial wave expansions in the scattering by short-range potentials
• On the Convergence and Stability of the Epsilon Algorithm
• Summation of partial wave expansions in the scattering by long range potentials. I
• On a Device for Computing the e m (S n ) Transformation

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