An analysis of a new family of eighth-order optimal methods

C Chun, B Neta - Applied Mathematics and Computation, 2014 - Elsevier
Applied Mathematics and Computation, 2014Elsevier
A new family of eighth order optimal methods is developed and analyzed. Numerical
experiments show that our family of methods perform well and in many cases some
members are superior to other eighth order optimal methods. It is shown how to choose the
parameters to widen the basin of attraction.
Abstract
A new family of eighth order optimal methods is developed and analyzed. Numerical experiments show that our family of methods perform well and in many cases some members are superior to other eighth order optimal methods. It is shown how to choose the parameters to widen the basin of attraction.
Elsevier