Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations

Table 3

List of functions for a multiple root.

𝑓1(𝑥)=(𝑥^3+4𝑥^2−10)^3,	𝑟=1.3652300134140968457608068290,
𝑓2(𝑥)=(sin^2(𝑥)−𝑥^2+1)^2,	𝑟=1.4044916482153412260350868178,
𝑓3(𝑥)=(𝑥^2−𝑒^𝑥−3𝑥+2)^5,	𝑟=0.2575302854398607604553673049,
𝑓4(𝑥)=(cos(𝑥)−𝑥)^3,	𝑟=0.7390851332151606416553120876,
𝑓5(𝑥)=((𝑥−1)^3−1)^6,	𝑟=2,
𝑓6(𝑥)=(𝑥𝑒^𝑥2−sin^2(𝑥)+3cos(𝑥)+5)^4,	𝑟=−1.207647827130918927009416758,
𝑓7(𝑥)=(sin(𝑥)−(1/2)𝑥)^2.	𝑟=1.8954942670339809471440357381.