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Comparison of four algorithms accelerating the convergence of a subset of logarithmic fixed point sequences

✍ Scribed by Paul Sablonniere


Publisher
Springer US
Year
1991
Tongue
English
Weight
715 KB
Volume
1
Category
Article
ISSN
1017-1398

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πŸ“œ SIMILAR VOLUMES


Convergence acceleration of logarithmic
✍ Paul Sablonniere πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 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