Perfect strong scaling using no additional energy

James Demmel, Andrew Gearhart, Oded Schwartz and Benjamin Lipshitz

EECS Department
University of California, Berkeley
Technical Report No. UCB/EECS-2012-126
May 30, 2012

http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-126.pdf

Energy efficiency of computing devices has become a dominant area of research interest in recent years. Most of this work is focused on architectural techniques to improve power and energy efficiency; only a few consider saving energy at the algorithmic level. We prove that a region of perfect strong scaling in energy exists for matrix multiplication (classical and Strassen) and the direct (O(n2)) n-body problem via the use of .5D algorithms: This means that we can increase the number of processors by a constant factor, with the runtime (both computation and communication) decreasing by the same factor, and the total energy used remaining constant.


BibTeX citation:

@techreport{Demmel:EECS-2012-126,
    Author = {Demmel, James and Gearhart, Andrew and Schwartz, Oded and Lipshitz, Benjamin},
    Title = {Perfect strong scaling using no additional energy},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {2012},
    Month = {May},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-126.html},
    Number = {UCB/EECS-2012-126},
    Abstract = {Energy efficiency of computing devices has become a dominant area of research interest in recent years. Most of this work is focused on architectural techniques to improve power and energy efficiency; only a few consider saving energy at the algorithmic level. We prove that a region of perfect strong scaling in energy exists for matrix multiplication (classical and Strassen) and the direct (O(n2)) n-body problem via the use of .5D algorithms: This means that we can increase the number of processors by a constant factor, with the runtime (both computation and communication) decreasing by the same factor, and the total energy used remaining constant.}
}

EndNote citation:

%0 Report
%A Demmel, James
%A Gearhart, Andrew
%A Schwartz, Oded
%A Lipshitz, Benjamin
%T Perfect strong scaling using no additional energy
%I EECS Department, University of California, Berkeley
%D 2012
%8 May 30
%@ UCB/EECS-2012-126
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-126.html
%F Demmel:EECS-2012-126