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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...
Stochastic arithmetic has been developed as a model for computing
with imprecise numbers. In this model, numbers are represented
by independent Gaussian variables with known mean value and standard
deviation and are called stochastic numbers.
The algebraic properties of stochastic numbers have already been studied by
several authors. Anyhow, in most life problems the variables are not independent
and a direct application of the model to estimate the standard deviation on
the result of a numerical...
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