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Second Note on Basic Interval Arithmetic for IEEE754R

Authors John D. Pryce, George C. Corliss, R. Baker Kearfott, Ned S. Nedialkov, Spencer Smith



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Author Details

John D. Pryce
George C. Corliss
R. Baker Kearfott
Ned S. Nedialkov
Spencer Smith

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John D. Pryce, George C. Corliss, R. Baker Kearfott, Ned S. Nedialkov, and Spencer Smith. Second Note on Basic Interval Arithmetic for IEEE754R. In Numerical Validation in Current Hardware Architectures. Dagstuhl Seminar Proceedings, Volume 8021, pp. 1-8, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/DagSemProc.08021.18

Abstract

The IFIP Working Group 2.5 on Numerical Software (IFIPWG2.5) wrote on 5th Septem- ber 2007 to the IEEE Standards Committee concerned with revising the IEEE Floating- Point Arithmetic Standards 754 and 854 (IEEE754R), expressing the unanimous request of IFIPWG2.5 that the following requirement be included in the future computer arithmetic standard: For the data format double precision, interval arithmetic should be made available at the speed of simple floating-point arithmetic. IEEE754R (we believe) welcomed this development. They had before them a document defining interval arithmetic operations but, to be the basis of a standards document, it needed more detail. Members of the Interval Subroutine Library (ISL) team were asked to comment, in an email from Ulrich Kulisch that enclosed one from Jim Demmel to Van Snyder raising the issue. This paper provides ISL's comments.
Keywords
  • Interval arithmetic
  • validated computation
  • floating point
  • standards
  • exceptions
  • not an interval

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