Approximating Rational Numbers by Fractions.

Authors :: Hutchison, David
Kanade, Takeo
Kittler, Josef
Kleinberg, Jon M.
Mattern, Friedemann
Mitchell, John C.
Naor, Moni
Nierstrasz, Oscar
Rangan, C. Pandu
Steffen, Bernhard
Sudan, Madhu
Terzopoulos, Demetri
Tygar, Doug
Vardi, Moshe Y.
Weikum, Gerhard
Crescenzi, Pierluigi
Prencipe, Giuseppe
Pucci, Geppino
Forišek, Michal
Source :: Fun with Algorithms; 2007, p156-165, 10p
Publication Year :: 2007
Abstract: In this paper we show a polynomial-time algorithm to find the best rational approximation of a given rational number within a given interval. As a special case, we show how to find the best rational number that after evaluating and rounding exactly matches the input number. In both results, "best" means "having the smallest possible denominator". [ABSTRACT FROM AUTHOR]