Muller's Method

Generalizes the secant method of root finding by using quadratic 3-point interpolation

(1)

Then define

			(2)
			(3)
			(4)

and the next iteration is

(5)

This method can also be used to find complex zeros of analytic functions.

REFERENCES:

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, p. 364, 1992.