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Computing the Sign of a Dot Product Sum.
- Source :
- Computational & Information Science; 2004, p1086-1092, 7p
- Publication Year :
- 2004
-
Abstract
- A real number usually cannot be exactly represented by a floating-point number in a computer. Namely, a floating-point number frequently stands for any real number in a specific interval. In this paper, we present a method for computing the sign of a dot product sum. Each initial datum that is a floating-point number is considered as an interval. With interval analysis and floating-point summation methods, an explicit formula for calculating the minimal interval of a dot product sum is presented. Error analysis and some examples are provided as well. Keywords: Floating-point arithmetic; Rounding error; Interval analysis. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISBNs :
- 9783540241270
- Database :
- Supplemental Index
- Journal :
- Computational & Information Science
- Publication Type :
- Book
- Accession number :
- 32716656