Computing Real Zeros of a Polynomial by Branch and Bound and Branch and Reduce Algorithms

Hoai An Le Thi, Mohand Ouanes, Ahmed Zidna

In this paper we propose two algorithms based on branch and bound method and reduced interval techniques to compute all real zeros of a polynomial. Quadratic bounding functions are proposed which are better than the well known linear underestimator. Experimental result shows the efficiency of the two algorithms when facing ill-conditioned polynomials.