关于一个多项式重根迭代法的收敛性

On the Convergence of an Iteration Method for Finding Multipie Roots of a Polynomial

讨论一个同时求解多项式重根的迭代法,给出其收敛性定理及其简洁证明,数值结果是满意的.

This paper discusses an iteration method for simultaneously finding multiple roots of a polynomial. The convergence and convergence order are proved. Finally, the numerical results are given with satisfaction.