Müeller's Method


A linearly converging method with convergence = 1.84 (faster than Secant, slower than Newton's) to find roots of a continuous function. Similar to Secant method but uses three points to construct a parabola and takes the intersection with the x-axis as the next point. Where Müller's method shines is in finding complex roots.

\(j\) denotes a complex number, instead of \(i\) to avoid ambiguity between a 1, i and l.

Read more about it on Wikipedia.