A note on the priority of optimal multipoint methods for solving nonlinear equations

作者：Petkovic M S^*

来源：Applied Mathematics and Computation, 2013, 219(10): 5249-5252.

DOI：10.1016/j.amc.2012.11.064

• Nonlinear equations
• Multipoint iterative methods
• Optimal methods
• Priority
• Historical notes

The goal of this note is to clarify some questions of the priority and chronology of three-point optimal methods which could provide a better insight into the topic. We present two methods that appeared before the method of Bi et al. [W. Bi, Q. Wu, H. Ren, A new family of eight-order iterative methods for solving nonlinear equations, Appl. Math. Comput. 214 (2009) 236-245], which is often cited in the literature as the successor of the Kung-Traub method from 1974.

• 出版日期2013-1-15