On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic
Copyright policy ) Li, Wenbin; Simon, Sven; Kieß, Steffen;
On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic
A method to estimate error bounds of algorithms in linear algebra is proposed. The method is based on discrete stochastic arithmetic (DSA). In order to extend the DSA concept to algorithms in linear algebra, estimations of numerical error bounds are derived based on DSA. These estimations are applied to the linear algebra library LAPACK providing tighter error bounds compared to the error bounds of the library itself.
- University of Stuttgart Germany
algorithm, Roundoff error, linear algebra, error bound, discrete stochastic arithmetic, rounding error
algorithm, Roundoff error, linear algebra, error bound, discrete stochastic arithmetic, rounding error
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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).
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