Computing 11(4), pp. 353-363.
ISSN/ISBN: 0010-485X DOI: Not available at this time.
Note - this is a foreign language paper: GER
Abstract: Choosing an internal floating-point representation for a binary computer with given word-length is influenced by two factors: the size of the range of admissible numbers and the precision of the respective floating-point arithmetic. In this paper precision is defined by a statistical model of rounding errors. According to this definition base 4 floating-point arithmetic on an average produces smaller rounding errors than all other floating-point arithmetics with a base 2k, provided that the ranges of numbers have equal size.
Bibtex:
@article {,
AUTHOR = {Kreifelts, Th.},
TITLE = {Optimal Choice of Basis for a Floating-Point Arithmetic},
JOURNAL = {Computing},
YEAR = {1973},
VOLUME = {11},
NUMBER = {4},
PAGES = {353-363},
MONTH = {January},
ISSN={0010-485X},
}
Reference Type: Journal Article
Subject Area(s): Analysis, Numerical Analysis