James W. Demmel

EECS Department, University of California, Berkeley

Technical Report No. UCB/CSD-92-702

, 1992

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1992/CSD-92-702.pdf

The fastest parallel algorithm for a problem may be significantly less stable numerically than the fastest serial algorithm. We illustrate this phenomenon by a series of examples drawn from numerical linear algebra. We also show how some of these instabilities may be mitigated by better floating point arithmetic.

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BibTeX citation:

@techreport{Demmel:CSD-92-702,
    Author= {Demmel, James W.},
    Title= {Trading Off Parallelism and Numerical Stability},
    Year= {1992},
    Month= {Sep},
    Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1992/6256.html},
    Number= {UCB/CSD-92-702},
    Abstract= {The fastest parallel algorithm for a problem may be significantly less stable numerically than the fastest serial algorithm. We illustrate this phenomenon by a series of examples drawn from numerical linear algebra. We also show how some of these instabilities may be mitigated by better floating point arithmetic.},
}

EndNote citation:

%0 Report
%A Demmel, James W. 
%T Trading Off Parallelism and Numerical Stability
%I EECS Department, University of California, Berkeley
%D 1992
%@ UCB/CSD-92-702
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1992/6256.html
%F Demmel:CSD-92-702