一类超平方收敛的多步法公式

A type of multi-step methods formulae with super-quadratical convergence

给出求解非线性方程的一类多步法迭代公式 ,它是Newton法的推广 .一般多步法迭代公式的收敛阶仅具有超线性收敛 ,达不到平方收敛 ,本文给出的多步法迭代公式均是超平方收敛的 .

This paper gives a type of multi-step methods formulae with super-quadratical convergent,it is generalized from Newton method.