关于修正的Super-Halley迭代法的收敛性

The Convergence of the Corrected Super-Halley Iterative Method

用递推方法证明了修正Super-Halley方法在Holder条件下有3+p(p∈[0,1])阶收敛,同时也给出了误差估计.

This paper gives a convergence theorem using the recurrence relations and proves that the correction of the Super- Halley method has the convergence of the order 3 ＋p（p ∈[0,1 ] ） under the Holder condition. Mean- while, the estimates are also given.