methods

τ ˜ n = H ( θ n )

n

| x * x n |

COC

choices of parameters

f 1 ( x ) , x 0 = 6

Lotfi [15]

c = 1 , d = 1 1 + γ φ n , b = 0 , ω = d ˜ n 2

3

0.2785e−672

8.00

King’s type [16]

c = ω = 1 , d = β 1 d ˜ n , b = 2 β 1 + γ φ n , ( β = 2 )

3

0.1004e−674

8.00

Zheng [12]

c = 1 , d = d ^ n , b = ω = 0

3

0.9462e−674

8.00

Sharma [14]

c = 1 , d = 1 1 + γ φ n , b = ω = 0

3

0.4414e−673

8.00

Chebyshew-Halley [4]

c = 1 , d = ( 2 α + 1 1 + γ φ n ) , b = 2 α 1 + γ φ n , ω = H ( θ n )

3

0.7466e−671

8.00