Talk:Ridders' method
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[edit] More sources?
I'd be very interested to learn about more sources about this method. It's not in any of the other numerical analysis books I looked in (that's why I weakened the claim that it is as good as Brent's method by attributing it explicitly to the Numerical Recipes people). Additionally, it seems that the method in Ritters' paper is not the same as the method in Numerical Recipes. Ritters fits the unknown function to A + BeCx while Numerical Recipes fits it to (A + Bx)eCx. -- Jitse Niesen (talk) 12:27, 25 April 2008 (UTC)
- I found this: Wolfram MathWorld, which lists these additional references:
- Ostrowski, A. M. Ch. 12 in Solutions of Equations and Systems of Equations, 2nd ed. New York: Academic Press, 1966.,
- Ralston, A. and Rabinowitz, P. §8.3 in A First Course in Numerical Analysis, 2nd ed. New York: McGraw-Hill, 1978.
- Web pages about software packages, which also provide mathematical information (but might be based on Numerical Recipes?)
- A Google Scholar search gives 19 hits for "Ridder's method", including for example Morsink et al. which in the Google scholar snippet says "Another improvement is the use of Ridder's method (see, eg, Press et. al. 1992) for locating the exact point along a sequence of ...", suggesting that at least one scientist has used the method as described in Numerical Recipes.
- ☺ Coppertwig (talk) 12:00, 5 May 2008 (UTC)
