@acer 

For Example, 

the following method has a weight function under the name W(n)

is it possible to define a weight function to get the plot ?

Paper Name:

An optimal fourth order method for solving nonlinear equations

Authors:

M. A. Hafiza, M. Q. Khirallaha,b,

@acer 

is it possible to add a weight function to king,

for instance : H(v), where v = (fx/fy) 

and H is a result of taylor expansion

to increse it's order of convergence and still achive a good result on the plotting ?