Rational interpolation using Levin-Weniger transforms

doi:10.1016/S0010-4655(96)00169-5

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Rational interpolation using Levin-Weniger transforms

1997-05-01

PRE

Ranjan Bhattacharya *

Dhiranjan Roy

Siddhartha Bhowmick

DOI：10.1016/S0010-4655(96)00169-5

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Abstract

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Rational interpolation formulas are developed using Levin and Weniger transforms. The difficulty of solving sets of nonlinear equations to obtain these formulas is obviated by a new linearization prescription which is used iteratively. A comparative study on some test functions reveals that these interpolation formulas work better than the ones obtained from Fade-type rational interpolation. Among the different interpolants obtained with the Levin-Weniger transforms, those obtained with the Weniger tau-transform are found to better approximate test functions over the range of interpolation.

Keywords:

Levin-Weniger transforms

rational interpolation

linearization prescription

Pade approximants

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