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

    Ants Aasma Affiliation

Abstract

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

Keyword : Convergence acceleration, matrix methods, speed of convergence

How to Cite
Aasma, A. (2008). Strong μ‐faster convergence and strong μ‐acceleration of convergence by regular matrices. Mathematical Modelling and Analysis, 13(1), 1-6. https://doi.org/10.3846/1392-6292.2008.13.1-6
Published in Issue
Mar 31, 2008
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