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Bulgarian Digital Mathematics Library at IMI-BAS
Article . 2010
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Serdica Journal of Computing
Article . 2010 . Peer-reviewed
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Hal; HAL-UPMC
Article . 2010
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Hal-Diderot
Article . 2010
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Stochastic Arithmetic, theory and experiments

descriptionPublicationkeyboard_double_arrow_right Article 31 Mar 2010 Bulgaria, France Publisher:Institute of Mathematics and Informatics Bulgarian Academy of SciencesJournal:Serdica Journal of Computing, volume 4, pages 1-10 (issn: 1312-6555, eissn: 1314-7897, Copyright policy )
Authors: Alt, René; Lamotte, Jean-Luc; Markov, Svetoslav;

doi: 10.55630/sjc.2010.4.1-10

handle: 10525/1575

Stochastic Arithmetic, theory and experiments

Abstract

Stochastic arithmetic has been developed as a model for exact computing with imprecise data. Stochastic arithmetic provides confidence intervals for the numerical results and can be implemented in any existing numerical software by redefining types of the variables and overloading the operators on them. Here some properties of stochastic arithmetic are further investigated and applied to the computation of inner products and the solution to linear systems. Several numerical experiments are performed showing the efficiency of the proposed approach.

Countries
Bulgaria, France
Related Organizations
Keywords

Linear Algebra, Imprecise Data, Stochastic Arithmetic, [INFO]Computer Science [cs], CESTAC Method, [INFO] Computer Science [cs]

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
Green
gold