On 13 December 2012 03:23, Bo Jacoby <bojac...@yahoo.dk> wrote: > I reinvented the Durand-Kerner method ( > http://en.wikipedia.org/wiki/Durand-Kerner_method ) in 1992. I think it cool. > I don't know if it is better or worse than p. .
Just for the record. The so-called Durand–Kerner method was independently discovered by several authors in the 1960s. It is based on a formula of K.Weierstrass, although he did not use it to approximate roots. Kiril Dochev was the first (1962) to establish a sufficient condition for the convergence of the method and to prove that the convergence is quadratic. ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm