Vector sequence transformations for the acceleration of logarithmic convergence

DOI10.1016/0377-0427(95)00183-2zbMath0861.65004OpenAlexW2092501960MaRDI QIDQ1919388

Naoki Osada

Publication date: 23 July 1996

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(95)00183-2

zbMATH Keywords

numerical examplesconvergence accelerationasymptotic expansionsextrapolationepsilon-algorithmvector sequenceslogarithmic convergence\(d\)-transformation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (2)

Convergence acceleration during the 20th century ⋮ Transforming logarithmic to linear convergence by interpolation

Cites Work

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• Extrapolation methods for some singular fixed point sequences
• Recursive algorithms for vector extrapolation methods
• Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
• Acceleration methods for vector sequences
• Comparison of four algorithms accelerating the convergence of a subset of logarithmic fixed point sequences
• Acceleration results for the vector E-algorithm
• Extrapolation methods theory and practice
• Extensions of Levin's transformations to vector sequences
• Acceleration Techniques for Iterated Vector and Matrix Problems
• The Set of Logarithmically Convergent Sequences Cannot be Accelerated

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