Extended procedures for extrapolation to the limit

被引：3

作者：

Brezinski, C. ^{[2
]}

Redivo-Zaglia, M. ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[2] Univ Sci & Technol Lille, CNRS, UFR Math Pures & Appl, Lab Paul Painleve,UMR 8524, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 235卷 / 03期

关键词：

Extrapolation; Convergence acceleration; Sequence transformation; Annihilation operator; RICHARDSON EXTRAPOLATION; CONVERGENCE ACCELERATION; NONLINEAR TRANSFORMATIONS; ALGORITHMS; ERROR; DERIVATION; SUMMATION; SERIES;

D O I：

10.1016/j.cam.2010.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, new procedures for the extrapolation to the limit of slowly convergent sequences and functions are proposed. They are based on the notions of error estimates and annihilation operators. We obtain generalizations of the discrete and confluent E-transformation, which are the most general sequence and function transformations known so far. It is shown that many transformations studied in the literature are included in our formalism. Particular cases of these procedures are discussed. Then, several extensions of the E-algorithm are given. Finally, the procedure (-) is applied to our procedures to produce new procedures for extrapolation to the limit. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：631 / 645

页数：15

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