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Journal Articles Applied Mathematics and Computation Year : 2018

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 is 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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Dates and versions

hal-01578486 , version 1 (29-08-2017)

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Stef Graillat. An accurate algorithm for evaluating rational functions. Applied Mathematics and Computation, 2018, 337, pp.494-503. ⟨10.1016/j.amc.2018.05.039⟩. ⟨hal-01578486⟩
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