Talk:Akra–Bazzi method

This article is within the scope of WikiProject Computer science, a collaborative effort to improve the coverage of Computer science related articles on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.Computer scienceWikipedia:WikiProject Computer scienceTemplate:WikiProject Computer scienceComputer science articles

???

This article has not yet received a rating on the project's importance scale.

Things you can help WikiProject Computer science with:

Here are some tasks awaiting attention:

Article requests :
- Requested articles/Applied arts and sciences/Computer science, computing, and Internet
Cleanup :
- Computer science articles needing attention
- Computer science articles needing expert attention
Copyedit :
- Computing
Expand :
- Computer science
Infobox :
- Computer science articles without infoboxes
Maintain :
- Timeline of computing 2020–present
Photo :
- Find pictures for the biographies of computer scientists (see List of computer scientists)
- Computing articles needing images
Stubs :
- Computer science stubs
Unreferenced :
- WikiProject Computer science/Unreferenced BLPs
Project-related :
- Tag all relevant articles in Category:Computer science and sub-categories with {{WikiProject Computer science}}

Great, but someone should describe the method...
Jorge Stolfi 02:10, 31 May 2004 (UTC)[reply]

If someone could clarify "where the sub-problems have substantially different sizes," that would be great. I left it in when I edited the article because I am assuming it is meaningful.

Could you add a reference to this result? The article of Akra-Bazzi (M. Akra and L. Bazzi. On the solution of linear recurrence equations. Computational Optimization and Applications, 10:195210, 1998.) does _not_ prove it. --134.2.12.41 20:05, 16 May 2007 (UTC) Marcus[reply]

I am puzzled by the second example on the second page of the Tom Leighton manuscript. Shouldn't it be $\Theta \left(x^{2}\log \log x\right)$ ? It makes no sense that the recurrence grows slower when we have the additional term g(x). EIFY (talk) 04:19, 26 February 2008 (UTC)[reply]

bi < 0.5 is assumed in Akra-Bazzi's original paper On the solution of linear recurrence equations[edit]

I have read Akra-Bazzi's original paper On the solution of linear recurrence equations. In the paper, bi < 0.5 is assumed. However, on the wiki paper of Akra-Bazzi method, bi < 1 is assumed. Is Akra-Bazzi's result right for bi < 1?? — Preceding unsigned comment added by 159.226.43.106 (talk) 03:04, 26 October 2011 (UTC)[reply]

missing smoothness assumption[edit]

The theorem cannot be correct as stated. We need an assumption that g is sufficiently smooth, so that the sum implicit in the recurrence can be adequately approximated by an integral. What is that assumption? —David Eppstein (talk) 15:35, 25 March 2016 (UTC)[reply]