浅析牛顿迭代法的高阶收敛性-毕业论文参考网 关键字：牛顿迭代法；不动点；高阶收敛 [gap=457]KeyWords：Newton iteration method; fixed point; high-order convergence
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In this paper we present a new iteration method with high accuracy for solving nonlinear equations, this method has not only 5-order convergence but also avoids the operation of derivatives.
给出了一种新的求解非线性方程的迭代方法，该算法至少是5阶收敛且不用计算导数，具有收敛速度快，计算精度高的特点。
Newton's method is a classical algorithm with a high order of convergence for solving systems of nonlinear equations.
牛顿法是求解非线性方程组的经典的高阶算法。
By fine estimate for high order discrete Green function, it is more convenient to study the optimal super-convergence of high order rectangular finite element.
通过对高阶离散函数的一些精致估计，为高次矩形元的最佳超收敛性研究提供了有力的工具。
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