A Convergent Iteration Procedure for Calculating the Roots of a Polynomial . Ein Konvergentes Interationsverfahren Zur Berechnung der Wurzeln Eines Polynoms

摘要

A convergent iteration procedure for determining the roots of a polynomial is described. The procedure is based on a practical universal algorithm. The method of Nasita-Nickel is described as the basis for the procedure followed. Several theorems are proven to illustrate the steps involved in developing the algorithm. Mathematical models are developed to support the theoretical considerations. A computer program for conducting the machine calculation of the procedure is included.