A Modified Newton Method for Polynomials A modified Newton method for polynomials is discussed. It is assumed one has approximations for all the roots of the polynomial. Three variations are described. If the roots are simple, it is shown that under appropriate conditions, two of the variations are cubically convergent. CACM February, 1967 Ehrlich, L. W. CA670209 JB February 28, 1978 2:33 PM 1633 4 1633 1452 5 1633 1633 5 1633 1633 5 1633 1633 5 1633