On a family of multipoint methods for non-linear equations

Abstract

A new one-parameter family of methods for finding simple zeros of non-linear functions is developed. Each member of the family requires four evaluations of the given function and only one evaluation of the derivative per step. The order of the method is 16.

Keywords:

• Non-linear equations
• order of convergence
• newton's method
• zero
• root
• iteration

C.R. Categories:

• 5.1

†Now at Department o f Mathematics, Texas Tech. University, Lubbock, Tx 79409.

†Now at Department o f Mathematics, Texas Tech. University, Lubbock, Tx 79409.

Notes

†Now at Department o f Mathematics, Texas Tech. University, Lubbock, Tx 79409.