A biparametric family of four-step sixteenth-order root-finding methods with the optimal efficiency index

作者：Geum Young Hee; Kim Young Ik^*

来源：Applied Mathematics Letters, 2011, 24(8): 1336-1342.

DOI：10.1016/j.aml.2011.03.004

• Eighth-order
• Sixteenth-order
• Optimal order
• Biparametric family
• Asymptotic error constant
• Efficiency index

A biparametric family of four-step multipoint iterative methods of order sixteen to solve nonlinear equations are developed and their convergence properties are established. The optimal efficiency indices are all found to be 16(1/5) approximate to 1.741101. Numerical examples as well as comparison with existing methods are demonstrated to verify the developed theory.

• 出版日期2011-8