Similarities of the integral Padé approximants
type: Item
instance of: scholarly article
title: Similarities of the integral Padé approximants
zbMATH Open document ID: 1024.41011
DOI: 10.1016/S0096-3003(01)00319-8
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: A particular selection of Padé type, methods for accelerating the convergence of a sequence of functions is considered. The construction and relationship of Padé type methods with other similar methods are demonstrated. 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 \(\Delta^2\) algorithm are illustrated. The IPA is found to be a natural generalisation of Aitken \(\Delta^2\) algorithm. It is stated that the convergence theorem for the IPAs and this theorem is similar to the hybrid FPA.
reviewed by: Juri M. Rappoport
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 65B99
zbMATH DE Number: 1861331
zbMATH Keywords: integral Padé approximant
zbMATH Keywords: singular value
zbMATH Keywords: convergence acceleration
author: Rajinder Thukral
MaRDI profile type: Publication
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full work available at URL: s0096-3003(01)00319-8
OpenAlex ID: W4235380647
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description: scientific article; zbMATH DE number 1861331