The Mathematical Basis for a New Polynomial Roottnder with Quadratic Convergence

Formulas developed originally by Weierstrass have been used since the 1960's by many others for the simultaneous determination of all the roots of a polynomial. Convergence to simple roots is quadratic, but individual approximations to a multiple root converge only linearly. However, it is shown here that the mean of such individual approximations converges… CONTINUE READING