Error-Free Transformation in Rounding Mode toward Zero

Abstract : In this paper, we provide new error-free transformations for the sum and the product of two floating-point numbers. These error-free transformations are well suited for the CELL processor. We prove that these transformations are error-free, and we perform numerical experiments on the CELL processor comparing these new error-free transformations with the classic ones.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01295138
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Submitted on : Wednesday, March 30, 2016 - 2:18:20 PM
Last modification on : Thursday, March 21, 2019 - 1:06:43 PM

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Stef Graillat, Jean-Luc Lamotte, Hong Diep Nguyen. Error-Free Transformation in Rounding Mode toward Zero. Numerical Validation in Current Hardware Architectures, revised papers, Jan 2008, Dagstuhl, Germany. pp.217-229, ⟨10.1007/978-3-642-01591-5_14⟩. ⟨hal-01295138⟩

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