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A one-parameter method for accelerating the convergence of sequences and series

โœ Scribed by A.C. Smith

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
721 KB
Volume
4
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

An iterative non-stationary method, depending on a parameter, has been obtained for accelerating the convergence of power series. When the parameter is equal to t I, the method of Salzer and Sdsz[4,6] is recovered (called Method A), and when the parameter is equal to the argument of the power series, rational approximations are obtained, although not as good as Padt approximants. When the parameter is equal to -I, the method (called Method B) effects more rapid convergence on well-known alternating series than any of the methods commonly used hitherto.

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