Rodrigues e Silva, Melanie, Nepomuceno, Erivelton and Angelo Milani Martins, Samir (2017) Note on improvement precision of recursive function simulation in floating point standard. In: DINCON, 2017, Brazil.
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Abstract
An improvement on precision of recursive function simulation in IEEE floating
point standard is presented. It is shown that the average of rounding towards negative
infinite and rounding towards positive infinite yields a better result than the usual standard
rounding to the nearest in the simulation of recursive functions. In general, the method
improves one digit of precision and it has also been useful to avoid divergence from a correct
stationary regime in the logistic map. Numerical studies are presented to illustrate the
method.
Item Type: | Conference or Workshop Item (Paper) |
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Keywords: | IEEE floating point; rounding mode; numerical simulation; recursive functions; Logistic map; |
Academic Unit: | Faculty of Science and Engineering > Electronic Engineering |
Item ID: | 16763 |
Depositing User: | Erivelton Nepomuceno |
Date Deposited: | 05 Dec 2022 16:36 |
Refereed: | Yes |
URI: | https://mural.maynoothuniversity.ie/id/eprint/16763 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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