Title of article :
Unification of sixth-order iterative methods
Author/Authors :
K Khattri, Sanjay Stord/Haugesund University College - Department of Engineering, Norway , Argyros, Ioannis K Cameron University - Department of Mathematical Sciences, USA
Abstract :
There exist many sixth-order iterative methods for solving nonlinear scalar equations. The purpose of this work is to bring them together. We develop a scheme for unifying sixth-order iterative methods. Convergence analysis shows that the methods, and family of methods, formulated through the scheme are sixth-order convergent. Finally, some computational results are reported to verify the developed theory.
Keywords :
Iterative methods , Sixth order , Newton , Unification , Convergence , Numerical analysis , Infinite series , Nonlinear
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
