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Kreifelts, T (1973)

Optimal Choice of Basis for a Floating-Point Arithmetic [Optimale Wahl für eine Gleitkomma-Arithmetik]

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.

@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