Talk:Gauss–Legendre algorithm
 | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
In base-2?
I can't understand how that doubling of correct digits works in base-2 (or how this algorithm works). Does the number of them grow faster, or is the "initial value" larger? --82.141.93.182 15:31, 3 November 2007 (UTC)
This was just one of those questions made too soon. No need to answer. --82.141.93.182 09:52, 4 November 2007 (UTC)
Why is there Pn? Pn=2^n... —Preceding unsigned comment added by 195.6.234.195 (talk) 13:23, 28 February 2008 (UTC)
The algorithme only uses O(1) memory
The algorithme itself only uses O(1) memory (i.e. constant), but the description says that it is memory hungry. While it is true that you need a very large memory to store the digits, that has nothing to do with the memory requirements of the algoritm itself. —Preceding unsigned comment added by 130.226.87.164 (talk) 14:09, 25 November 2008 (UTC)
Error in algoritme?
Using the algoritm I did not get a correct pi; Comparing it with the algoritm in Strang's book about calculus ( which is incomplete) i think that the following changes are neccessary:
t_{n+1}= t_{n} + p * ( a_{n}^2 - a_{n+1}^2)
π ≈ (a_{n}^2 +b_{n}^2)/ (1 - t_{n+1})
Herman Koolstra (talk) 07:37, 24 July 2012 (UTC)
What should we call these numbers?
Basically if we start a0, b0, p0 and t0 at different values, it makes the function GL(a0,b0,p0,t0) (GL for Gauss-Legendre). For different starting values, here are the values:
GL(1,2,3,4)=0.6552227309455...
GL(1,2,1,2)=1.2152641985482...
GL(π,e,φ,γ)=16.965455847363...
And more...
There are endless possibilities out there. What do we call these numbers?
Content Disclaimer
Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.
- The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
- There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
- It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
- Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
- Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.