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Journal Articles Serdica Journal of Computing Year : 2010

Stochastic Arithmetic, theory and experiments

Svetoslav Markov
  • Function : Author


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.
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Dates and versions

hal-01146519 , version 1 (28-04-2015)


  • HAL Id : hal-01146519 , version 1


René Alt, Jean-Luc Lamotte, Svetoslav Markov. Stochastic Arithmetic, theory and experiments. Serdica Journal of Computing, 2010, 4 (1), pp.1-10. ⟨hal-01146519⟩
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