A fast neural-network algorithm for simultaneous extraction of all roots of algebraic polynomial

In this paper, we present a fast neural-network algorithm of multi-point iterative method for simultaneous determination of all roots of polynomial. Its convergence was researched. The computation is carried out by simple steepest descent rule with adaptive variable step-size. The specific examples illustrated that the proposed method can find simultaneously the roots of polynomials at a very rapid convergence and very high accuracy with less computation.