Interval arithmetic with fixed rounding mode

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Author(s)

    • Rump Siegfried M.
    • Institute for Reliable Computing, Hamburg University of Technology|Faculty of Science and Engineering, Waseda University
    • Ogita Takeshi
    • Division of Mathematical Sciences, Tokyo Woman's Christian University

Abstract

We discuss several methods to simulate interval arithmetic operations using floating-point operations with fixed rounding mode. In particular we present formulas using only rounding to nearest and using only chop rounding (towards zero). The latter was the default and only rounding on GPU (Graphics Processing Unit) and cell processors, which in turn are very fast and therefore attractive in scientific computations.

Journal

  • Nonlinear Theory and Its Applications, IEICE

    Nonlinear Theory and Its Applications, IEICE 7(3), 362-373, 2016

    The Institute of Electronics, Information and Communication Engineers

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