Name of the numerical method

Question

I came across one numerical method, however I have lost the link or is not able to find it on my history.

It used the following variables: $$G=\frac{p'(x_k)}{p(x_k)} \ \& \ \ H=G^2-\frac{p''(x_k)}{p(x_k)}$$

Or something to that effect, not entirely sure. Thanks in advance!

score 2 · Accepted Answer · answered Mar 18 '18 at 07:15

2

That looks like part of the Laguerre method for polynomial roots. $$ x_{k+1}=x_k-\frac{n}{G\pm\sqrt{(n-1)(nH-G^2)}}. $$

answered Mar 18 '18 at 07:15

Lutz Lehmann

1 Answers1