An accurate algorithm for evaluating rational functions

Abstract : Several different techniques intend to improve the accuracy of results computed in floating-point precision. Here, we focus on a method to improve the accuracy of the evaluation of rational functions. We present a compensated algorithm to evaluate rational functions. This algorithm is accurate and fast. The accuracy of the computed result is similar to the one given by the classical algorithm computed in twice the working precision and then rounded to the current working precision. This algorithm runs much more faster than existing implementation producing the same output accuracy.
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https://hal.archives-ouvertes.fr/hal-02167356
Contributor : Stef Graillat <>
Submitted on : Thursday, June 27, 2019 - 4:49:56 PM
Last modification on : Friday, July 5, 2019 - 3:26:03 PM

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Stef Graillat. An accurate algorithm for evaluating rational functions. Applied Mathematics and Computation, Elsevier, 2018, 337, pp.494-503. ⟨10.1016/j.amc.2018.05.039⟩. ⟨hal-02167356⟩

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