Strong μ‐faster convergence and strong μ‐acceleration of convergence by regular matrices

The present paper continues the study of acceleration of convergence started in the paper [A. Aasma, Proc. Estonian Acad. Sci. Phys. Math., 2006, 55, 4, 195–209]. The new, non‐classical convergence acceleration concept, called strong μ‐acceleration of convergence (μ is a positive monotonically incr...

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Bibliographic Details
Main Author: Ants Aasma
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6930
Description
Summary:The present paper continues the study of acceleration of convergence started in the paper [A. Aasma, Proc. Estonian Acad. Sci. Phys. Math., 2006, 55, 4, 195–209]. The new, non‐classical convergence acceleration concept, called strong μ‐acceleration of convergence (μ is a positive monotonically increasing sequence), is introduced. It is shown that this concept allows to compare the speeds of convergence for a larger set of sequences than the classical convergence acceleration concept. Regular matrix methods are used to accelerate the convergence of sequences. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510