Similarities of the integral Padé approximants

Authors:
R. Thukral
Affiliations:
Padé Research Centre, 39 Deanswood Hill, Leeds, West Yorkshire, England, UK LS17 5JS
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 6
Cited 0

Row convergence theorems for generalised inverse vector-valued Pade´ approximants

Journal of Computational and Applied Mathematics
Solution of integral equations using generalised inverse, function-valued Pade´ approximants, I

Journal of Computational and Applied Mathematics - Special issue on extrapolation and rational approximation
A review of Pade´ methods for the acceleration of convergence of a sequence of vectors

Selected papers of the IMACS conference on Innovative methods in numerical analysis
Problems and progress in vector Pade´ approximation

Journal of Computational and Applied Mathematics - Special issue: ROLLS symposium
Row convergence theorems for vector-valued Padé approximants

Journal of Approximation Theory
A family of Padé-type approximants for accelerating the convergence of sequences

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.48

Visualization

Abstract

We consider a particular selection of Padé type methods for accelerating the convergence of sequence of functions. The construction and relationship of Padé type methods with other similar methods are demonstrated. We illustrate the similarities of the recently introduced methods, namely the integral Padé approximant (IPA), the modified Padé approximant (MPA) together with the well established methods, namely the functional Padé approximant (FPA) and the Aitken Δ2 algorithm. The IPA is found to be a natural generalisation of Aitken Δ2 algorithm. Also we state the convergence theorem for the IPAs and this theorem is similar to the hybrid FPA.