Algorithmes des fractions continues et de Jacobi-Perron

Bulletin of the Australian Mathematical Society

Volumn 53, Issue 2, 1996, Pages 341-350

  Adam, Brigitte ^a   Rhin, Georges ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040456809     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700017056     Document Type: Article

References (9)

1. A.G. Akritas, Elements of computer algebra with applications (Wiley Interscience, New York, 1989).
2. E. Bombieri et A.J. van der Poorten, 'Continued fractions of algebraic numbers', in Computational algebra and number theory, Sydney 1992, (Wieb Bosma and Alf Van Der Poorten, Editors) (Kluwer Academic Publishing, 1995), pp. 138-154.
3. R. Brualdi, Combinatorial matrix theory (Cambridge University Press, Cambridge, 1991).
4. G. Cantor, P. Galyean and G. Zimmer, 'A continued fraction algorithm for real algebraic numbers', Math. Comp. 26 (1972), 785-791.
5. S. Karlin, Initiation aux processus aléatoires (Dunod.).
6. S. Lang et A. Trotter, 'Continued fractions for some algebraic numbers', J. für Math. 255 (1972), 112-134.
7. M. Mignotte, 'Mathématiques pour le calcul formel', PUF, p. 208.
8. O. Perron, 'Grundlagen für eine Theorie des Jacobischen Kettenbruchalgorithmus', Math. Ann. 64 (1907), 1-76.
9. H. Zassenhaus, On the continued fraction development of real irrational algebraic numbers, (unpublished) (Ohio State University, Columbus, Oh., 1968).