Talk:Generalized continued fraction
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Would somebody familiar with this topic comment on the Bug here thing inserted by somebody in the main text? Thanks a lot. Oleg Alexandrov 05:02, 11 Apr 2005 (UTC)
- Didn't have time to read it, but two things I noticed right away:
- the usual terminology is "simple continued fraction" (not "c.f." unless qualified by "hereafter we deal only with s.c.f.s") and "continued fraction" (not "generalized c.f.")
- Many, many "generalized continued fractions" exist, but this usually refers to something like the Jacobi-Perron algorithm for simultaneous rational approximation of real vectors, or for continued fractions in which the coefficients are functions, for operator-valued formulations, etc.
- A good place to begin reading about one dimensional continued fractions is
- Brezinski, Claude (1991). History of continued fractions and Pade approximates. New York: Springer-Verlag. 3-540-15286-5., but this book is already seriously out of date.
- HTH ---CH 21:10, 5 May 2006 (UTC)
It is absolutely incorrect to use the name "Generalized Continued Fraction" for second-order continued fractions as those defined here. All this is explained at: Generalized Continued Fractions —The preceding unsigned comment was added by Arithmonic (talk • contribs) 02:43, 15 October 2006 (UTC)
- Wikipedia is not about what's correct and what's incorrect. It's about what the term "Generalized Continued Fraction" refers to in the mainstream mathematical literature. -- Jitse Niesen (talk) 04:12, 15 October 2006 (UTC)
