Agner`s CPU blog

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Moores law hits the roof
Author: anon2718 Date: 2016-03-15 19:23
Agner wrote:
These kinds of parallelism have no theoretical limits
There are very real theoretical limits to multiprocessing. In particular, you can only access O(time^3) (abuse of notation, I know) "computational resources" (be they cores, units of memory, etc) - and that's assuming 3D construction. With 2D construction, you can only access O(time^2) "computational resources".

It's even worse when you consider that heat / power / information transfer / structural strength scale with area, not volume. At large enough scales, it actually bottlenecks at O(time^2) due to these effects.

Note that this may require reconsiderations as to which algorithms to use for various things. Anything that requires a "constant-time" lookup from anything larger than o(n^2) elements is no longer actually constant-time, for instance.

 
thread Moores law hits the roof new - Agner - 2015-12-26
reply Moores law hits the roof new - bvlad - 2015-12-28
last replythread Moores law hits the roof - anon2718 - 2016-03-15
last replythread Moores law hits the roof new - Andre Tampubolno - 2016-06-26
last reply Moores law hits the roof new - Agner - 2016-06-27