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The Set of Logarithmically Convergent Sequences Cannot be Accelerated

โœ Scribed by Delahaye, J. P.; Germain-Bonne, B.


Book ID
118186966
Publisher
Society for Industrial and Applied Mathematics
Year
1982
Tongue
English
Weight
424 KB
Volume
19
Category
Article
ISSN
0036-1429

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๐Ÿ“œ SIMILAR VOLUMES


Convergence acceleration of logarithmic
โœ Paul Sablonniere ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

Let (x,) be some sequence generated by x,+ 1 = f(x,) where i>1 For x 0 > 0 small, it converges to zero logarithmically, i.e. lim, xn+l/x . = 1, thus we need algorithms for accelerating its convergence. Using asymptotic expansions in the analysis of the A 2 and 02-algorithms leads to modified iter