On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications

Table 3

Errors for the Newton, Halley, and M4 methods.

𝑛	Newton	Halley	M4
1	2.35786…⋅10^−2	4.23125…⋅10^−3	5.00638…⋅10^−4
2	1.60604…⋅10^−4	1.06034…⋅10^−6	6.55602…⋅10^−15
3	3.30548…⋅10^−8	1.00158…⋅10^−17	8.23560…⋅10^−60
4	3.11276…⋅10^−16	2.13492…⋅10^−49
5	1.12645…⋅10^−32
6	2.89613…⋅10^−65