一种求多项式方程根的参数并行加速迭代法

An Accelerated Parallel Iteration Method with Parameters for Solving All Roots of a Polynomial Equation

推广了一种在无重根情况下,利用Newton类迭代法对同时求多项式零点的加速的迭代法.讨论了该方法的收敛性和收敛阶;最后给出数值算例表明:计算收敛阶和定理结论是一致的,且本算法具有较大的收敛范围.

A parallel iteration method for simultaneously determination all roots of a polynomial equation is proposed.The new method is an improvement of the modified Newton method.The convergence order of the method are reached.Some numerical results are reported and listed and numerical experiments shows that the new method has more extensive convergent range.