一族带有3个参数的三阶收敛迭代方法

A Family of Three-Parameter Third-Order Convergence Iteration Method for Solving Nonlinear Equations

提出一种求解非线性方程f(x)=0近似解问题的一族带有3个参数的迭代方法,通过选取不同的参数值,可以得到不同的迭代方法.该方法不用计算函数的二阶导数即可达到三阶收敛.收敛性分析和数值实验表明,该方法与其他同阶收敛性质方法相比具有一定的有效性.

We first presented a family of three-parameter third-order convergence iteration method for solving nonlinear equations and obtained different iteration methods by taking different values of the parameters. We then proveed that the iteration methods have third-order convergence similar to those of existing methods, our methods also avoid computing the second derivative. Finally, examples and illustrated that our methods are competitive with we tested the methods on several numerical several other methods