Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
Special Section on Rigorous Nonlinear Analysis
Interval arithmetic with fixed rounding mode
Siegfried M. RumpTakeshi OgitaYusuke MorikuraShin'ichi Oishi
Author information
JOURNALS FREE ACCESS

2016 Volume 7 Issue 3 Pages 362-373

Details
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.

Information related to the author
© 2016 The Institute of Electronics, Information and Communication Engineers
Previous article Next article
feedback
Top