A Revised Presentation of the CENA Method

Philippe Langlois 1
1 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : The CENA method is a new automatic method to correct the first-order effect of floating point rounding errors on the result of a numerical algorithm. A first presentation of this method is proposed in the previous report RR-3828 (december 1999). The current report completes and replaces the previous one. We hark back to the presentation of the CENA method exhibiting new important aspects. We illustrate the pros-and-cons of the method solving triangular linear systems. These systems are designed to generate a significantly inaccurate computed solution. We propose a new analysis of the analogy and discrepancy between the linear correction and computing with extented precision.
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https://hal.inria.fr/inria-00072615
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Submitted on : Wednesday, May 24, 2006 - 10:24:10 AM
Last modification on : Thursday, February 7, 2019 - 4:46:01 PM
Long-term archiving on : Sunday, April 4, 2010 - 11:15:27 PM

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  • HAL Id : inria-00072615, version 1

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Philippe Langlois. A Revised Presentation of the CENA Method. RR-4025, INRIA. 2000. ⟨inria-00072615⟩

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