A note on some quadrature based three-step iterative methods for non-linear equations

作者：Ding Heng fei; Zhang Yu xin^*; Wang San fu; Yang Xiao ya

来源：Applied Mathematics and Computation, 2009, 215(1): 53-57.

DOI：10.1016/j.amc.2009.04.036

• Non-linear equations
• Three-step iterative methods
• Efficiency index
• Order of convergence
• Numerical examples

In a recent paper [N. A. Mir, T. Zaman, Some quadrature based three-step iterative methods for non-linear equations, Appl. Math. Comput. 193 (2007) 366-373], some new three-step iterative methods for non-linear equations have been proposed. In this note, we show that the Algorithm 2.2 and Algorithm 2.3 given by the authors have twelfth-order and ninth-order convergence respectively, not seventh-order one as claimed in their work.

• 出版日期2009-9-1
• 单位兰州大学; 天水师范学院