The Aberth-Ehrlich method

Recall from the previous post that the Weierstrass-Durand-Kerner (WDK) method finds all roots of a polynomial equation in a manner similar to Newton&rsquo;s method, and so converges quadratically. The Aberth-Ehrlich method (more commonly called Aberth&rsquo;s method), is similar, but converges cubically, and as we will see, is similar to Halley&rsquo;s method for root finding. Derivation from…