Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9657245 | The Journal of Logic and Algebraic Programming | 2005 | 22 Pages |
Abstract
Arithmetic systems such as those based on IEEE standards currently make no attempt to track the propagation of errors. A formal error analysis, however, can be complicated and is often confined to the realm of experts in numerical analysis. In recent years, there has been a resurgence of interest in automated methods for accurately monitoring the error propagation. In this article, a floating-point system based on significance arithmetic will be described. Details of the implementation in Mathematica will be given along with examples that illustrate the design goals and differences over conventional fixed-precision floating-point systems.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Mark Sofroniou, Giulia Spaletta,