A Two-Parameter Family of Combined Iterative Methods for Solving Nonlinear Equations
In this paper, a new two-parameter family of combined iterative methods for solving nonlinear equations is presented. The new methods require two evaluations of the function and two evaluations of its first derivative. Numerical tests show that the number of iterations of the new methods is less than that of the Newtons method and some methods with third-order convergence. It is found that it only adds the evaluation of the function at another point, but its convergence order can be increased above the original level.
Newtons method Combined iterative methods Nonlinear equations Order of convergence Simple root
Xueliang Zheng Shuping Chen
College of Mathematics and Information Engineering, Taizhou University, Linhai, 317000, China
国际会议
黄山
英文
209-212
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）