Results 221 to 230 of about 8,125 (267)

Stochastic Arithmetic in Multiprecision

open access: yesMathematics in Computer Science, 2011
Floating-point arithmetic precision is limited in length the IEEE single (respectively double) precision format is 32-bit (respectively 64-bit) long. Extended precision formats can be up to 128-bit long. However some problems require a longer floating-point format, because of round-off errors.
Stef Graillat   +2 more
exaly   +4 more sources

Stochastic arithmetic: Addition and multiplication by scalars

open access: yesApplied Numerical Mathematics, 2004
Stochastic numbers are defined as Gaussian random variables with known mean-value and standard deviation. Stochastic arithmetic is then seen as a set of operations on stochastic numbers. The paper under review is focused on addition and multiplication by scalars. Algebraic systems are modelled that represent stochastic arithmetics. Special attention is
Svetoslav Markov, René Alt
exaly   +4 more sources

Discrete Stochastic Arithmetic for Validating Results of Numerical Software

open access: yesNumerical Algorithms, 2004
The Discrete Stochastic Arithmetic DSA is a probabilistic approach for round-off error propagation. After a brief review of the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method, which is the basis of DSA, the concept of the “informatical zero”, also called “computational zero”, is defined.
Vignes, Jean
exaly   +4 more sources

On the algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic

open access: yes, 2001
Interval arithmetic and stochastic arithmetic have been both developed for the same purpose, i. e. to control errors coming from floating point arithmetic of computers. Interval arithmetic delivers guaranteed bounds for numerical results whereas stochastic arithmetic provides confidence intervals with known probability.
Rene Alt, Svetoslav Markov
core   +3 more sources

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