Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations

Table 1

Set of six test nonlinear functions.

Functions	Roots
𝑓1(𝑥)=𝑒^𝑥sin(𝑥)+log1+𝑥^2	𝛼=0
𝑓2(𝑥)=(𝑥−2)𝑥^10+𝑥+1𝑒^−𝑥−1	𝛼=2
𝑓3(𝑥)=sin(𝑥)^2−𝑥^2+1	𝛼=1.40449⋯
𝑓4(𝑥)=𝑒^−𝑥−cos(𝑥)	𝛼=0
𝑓5(𝑥)=𝑥^3+log(𝑥)	𝛼=0.70470949⋯