关于修正的并行Halley迭代法的收敛性证明

On convergence of modified parallel Halley iterative method

对有关文献所构造的求多项式全部重零点的并行 Halley迭代法给出了另一收敛性定理 .在此基础上 ,利用迭代加速技巧 ,获得了收敛阶至少为 6的修正的并行迭代法 ,证明了收敛性定理 .

Based on the parallel Halley iteration for finding all multiple zeros of a polynomial in the relevant reference,another convergence theorem is obtained in this paper.At the same time,a modified iterative method,based on an accelerated technique of the iteration,is constructed.It is proved that the order of the second iteration is at least 6.