Convergence acceleration of some sequences by the ɛ-algorithm
✍ Scribed by C. Brezinski
- Publisher
- Springer-Verlag
- Year
- 1978
- Tongue
- English
- Weight
- 202 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
In this paper, we propose a general O-type algorithm for accelerating the convergence of sequences. It generalizes some known sequence transformations such as the O-algorithm, the iterated O2, the iterated A 2, and the T-algorithm. Some general convergence acceleration results are given. Some result