IJPAM: Volume 53, No. 3 (2009)
WRONG TAILS AND RIGHT VALUES
Ragnhild Johanne Rensaa
, Haakon Waadeland
R&D Group for Electromechanical Systems
Institute for Information, Energy and Space Technology
Narvik University College
P.O. Box 385, Narvik, N-8505, NORWAY
e-mail: rjr@hin.no
Department of Mathematical Sciences
Norwegian University of Science and Technology
Trondheim, N-7491, NORWAY
e-mail: haakonwa@math.ntnu.no
, Haakon Waadeland
R&D Group for Electromechanical Systems
Institute for Information, Energy and Space Technology
Narvik University College
P.O. Box 385, Narvik, N-8505, NORWAY
e-mail: rjr@hin.no
Department of Mathematical Sciences
Norwegian University of Science and Technology
Trondheim, N-7491, NORWAY
e-mail: haakonwa@math.ntnu.no
Abstract.The purpose of the present paper is to introduce an alternative method for computing approximants of a continued fraction. Although the method is based upon established theory for tails of continued fractions - right tails and wrong tails - it has never been presented in this form. The main idea is to illustrate how wrong tails can be used in the computation. This is a consequence of the stability of the algorithm for wrong tails.
Received: May 12, 2009
AMS Subject Classification: 30B70, 40A15
Key Words and Phrases: continued fractions, tails, approximants
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 3