On the new family of optimal eighth order methods developed by Lotfi et al.
MetadataShow full item record
Recently Lotfi et al. (Numer. Algor. 68, 261-288, 2015) have developed a new family of optimal order eight for the solution of nonlinear equations. they have experimented with 3 members of the family and compared them to other eight order methods. One of the best known eight order method was not included. They also did not mention the best choice of parameters in the methods used and why. the basins of attraction were given for several examples without a quantitative comparison. It will be shown how to choose the best parameters in all these methods, and to quantitatively compare the methods.
The article of record as published may be found at http://dx.doi.org/10.1007/s11075-015-0048-9
Showing items related by title, author, creator and subject.
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. ...
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 ...