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

Table 3

Comparison of optimal 4-point sixteenth-order I.F.s.

function	16th FK		16th GK1		16th GK2
	|𝑥3−𝑥^∗|	COC	|𝑥3−𝑥^∗|	COC	|𝑥3−𝑥^∗|	COC
𝑓_1,𝑥_0=1	0.137e-362	15.989	0.353e-581	15.981	0.103e-522	15.998
𝑓_2,𝑥_0=1.3	0.898e-670	16.000	0.994e-782	16.000	0.723e-811	15.987
𝑓_3,𝑥_0=2.5	0.479e-200	15.928	fail	fail	0.819e-316	15.978
𝑓_4,𝑥_0=0.25	0.492e-3155	16.000	0.241e-2455	16.000	0.516e-2071	16.000
𝑓_5,𝑥_0=2.5	0.142e-810	16.000	0.164e-1147	15.993	0.452e-1020	16.000
𝑓_6,𝑥_0=1/6	0.224e-1702	16.000	0.172e-1004	15.992	0.782e-892	16.000
𝑓_7,𝑥_0=3.5	0.927e-4464	16.000	0.241e-4144	16.000	0.136e-3763	16.000