An analysis of a new family of eighth-order optimal methods
MetadataShow full item record
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
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Showing items related by title, author, creator and subject.
Neta, Beny; Chun, Changbum (Elsevier Inc., 2015);In this paper we analyze an optimal eighth-order family of methods based on Maheshwari’s fourth order method. This family of methods uses a weight function. We analyze the family using the information on the extraneous ...
Neta, Beny; Chun, Changbum (Elsevier Inc., 2016);In this paper we analyze an optimal fourth-order family of methods suggested by Khattri and Babajee, (2013). We analyze the family using the information on the extraneous fixed points. Two measures of closeness to the ...
Neta, Beny; Chun, Changbum (Columbia International Publishing, 2015);In this paper we analyze an optimal eighth-order family of methods based on King's fourth order method to solve a nonlinear equation. This family of methods was developed by Thukral and Petković and uses a weight function. ...