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    Note on improvement precision of recursive function simulation in floating point standard


    Rodrigues e Silva, Melanie and 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)
    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:
      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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