Timeline for accelerating convergence of a class of sequences
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 4, 2013 at 19:37 | comment | added | Michael Renardy | Yes, it seems I did not read carefully enough. My comment applies to the sequence 1,-1,1/2,-1/2,..., not the sequence of partial sums. | |
| Jul 3, 2013 at 20:54 | history | bounty ended | James Propp | ||
| Jul 2, 2013 at 21:38 | vote | accept | James Propp | ||
| Jul 2, 2013 at 13:57 | comment | added | James Propp | @Michael: $O(1/n^2)$ is good, but I'm hoping one can do better. | |
| Jul 1, 2013 at 19:39 | comment | added | Aaron Meyerowitz | Doesn't it just replace $x_n$ with $\frac{x_{n+2}x_n-x_{n+1}^2}{x_{n+2}-2x_{n+1}+x_n}?$ that would seem to give $1/3,1/4,1/5,1/6,\cdots$ Any reasonable method looking only at nearby terms seems destined to be $O(1/n).$ | |
| Jun 26, 2013 at 6:02 | review | Low quality posts | |||
| Jun 26, 2013 at 6:20 | |||||
| Jun 26, 2013 at 5:44 | history | answered | Michael Renardy | CC BY-SA 3.0 |