An analysis of a new family of eighth-order optimal methods
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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.
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2014.07.068
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