Rational approximants using Levin-Weniger transforms

DOI10.1016/0010-4655(95)00106-9zbMath0915.41009OpenAlexW2046551131MaRDI QIDQ1276553

Siddhartha Bhowmick, Dhiranjan Roy, Ranjan Bhattacharya

Publication date: 21 June 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(95)00106-9

zbMATH Keywords

rational approximantsPadé approximationdivergent seriesLevin-Weniger transforms

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (9)

Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Global approximation for some functions ⋮ Nonlinear sequence transformation-based continuous-time wavelet filter approximation ⋮ Multipoint Levin-Weniger approximants and their application to the ground state energies of quantum anharmonic oscillators ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems ⋮ Prediction of unknown terms of a sequence and its application to some physical problems ⋮ A class of new transforms tailored for the hypergeometric series ⋮ Rational interpolation using Levin-Weiniger transforms

Cites Work

• Extrapolation methods theory and practice
• Iterations of convergence accelerating nonlinear transforms
• Rational approximants generated by the \(u\)-transform
• Numerical Comparisons of Nonlinear Convergence Accelerators
• Acceleration of Linear and Logarithmic Convergence
• Development of non-linear transformations for improving convergence of sequences
• On a Device for Computing the e m (S n ) Transformation
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