On a 4-Point Sixteenth-Order King Family of Iterative Methods for Solving Nonlinear Equations

Table 2

Range and the best value of 𝛽 for the 16th FK family.

Function	Range	Best value of 𝛽
𝑓1,𝑥0=1	[−5,5]^a,𝑎=−3,−2	0
𝑓2,𝑥0=1.3	[−5,5]^b,𝑏=−3,−2,−1	0
𝑓3,𝑥0=2.5	[−5,5]^c,𝑐=−1	0
𝑓4,𝑥0=0.25	[−5,5]	1
𝑓5,𝑥0=2.5	[−2,5]	0
𝑓6,𝑥0=1/6	[−5,4]	0
𝑓7,𝑥0=3.5	[−5,5]	−1