NDLI: Pretty Good Accuracy in Matrix Multiplication with GPUs

Content Provider	IEEE Xplore Digital Library
Author	Badin, M. Bic, L. Dillencourt, M. Nicolau, A.
Copyright Year	2010
Abstract	With systems such as Road Runner, there is a trend in super computing to offload parallel tasks to special purpose co-processors, composed of many relatively simple scalar processors. The cheaper commodity class equivalent of such a processor would be the graphics card, potentially offering super computer power within the confines of a desktop PC. Graphics cards however are not without problems, these range from the lack of double precision on most cards to a fairly steep drop in performance for using double precision on others, the end result being that in order to utilize the graphics card the computation must be done using single precision. In this paper we propose a method whereby a whole digit of the accuracy lost in single precision matrix multiply can be regained with only a 7% loss in performance by applying a compensated summation algorithm in a manner previously unexplored, a manner in which, at first glance, shouldn't provide any benefit but empirical evidence will show that though the novel idea is simple, provides unexpected benefits in terms of accuracy at little cost to performance.
Starting Page	49
Ending Page	55
File Size	176917
Page Count	7
File Format	PDF
ISBN	9781424476022
e-ISBN	9781424476015
DOI	10.1109/ISPDC.2010.12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-07
Publisher Place	Turkey
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Hardware Computer science Computer graphics Performance loss Scientific computing Computational modeling Distributed computing Costs Reproducibility of results Roundoff errors Compensated Summation GPGPU Matrix Multiplication Floating Point
Content Type	Text
Resource Type	Article

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