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Lambert's Method

A Root-finding method also called Bailey's Method and Hutton's Method. If $g(x)=x^d-r$, then

\begin{displaymath}
H_g(x)={(d-1)x^d+(d+1)r\over (d+1)x^d+(d-1)r}x.
\end{displaymath}


References

Scavo, T. R. and Thoo, J. B. ``On the Geometry of Halley's Method.'' Amer. Math. Monthly 102, 417-426, 1995.




© 1996-9 Eric W. Weisstein
1999-05-26