超平方收敛的2步法公式

Two-step methods formule with super-quadratic convergence

给出 3个求解非线性方程的迭代公式 ,它们均是 2步法计算公式 ,就函数值的计算量来看 ,它们和 Newton法一样 ,但它们却具有超平方收敛性 ,其中 2个公式的收敛阶约为 2 .41 4,另一个公式的收敛阶约为 2 .

This paper gives three iteration formule to find root of nonliear equation with two step method. As far as the computationl amount on functional evaluations is concerned, like Newton′s method, they are super quadratically convergent, whose order is about 2.414 and 2.732.