Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis

Dario A. Bini

This paper deals with the problem of numerically computing the roots of polynomials $p_k(x)$, $k=1,2,\dots$, of degree $n=2^k-1$ recursively defined by $p_1(x)=x+1$, $p_k(x)=xp_{k…