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

Table 1

Errors for the Newton, Chebyshev and M6 methods.

𝑛	Newton	Chebyshev	M6
1	8.57864…⋅10^−2	3.92135…⋅10^−2	8.63800…⋅10^−3
2	2.45310…⋅10^−3	1.60604…⋅10^−5	7.95704…⋅10^−14
3	2.12390…⋅10^−6	1.03568…⋅10^−15
4	1.59486…⋅10^−12	2.77730…⋅10^−46
5	8.99292…⋅10^−25
6	2.85928…⋅10^−49