Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations

Table 2

Results of comparisons for different methods after three iterations.

Absolute value of 𝑓	NM	SM	PM4	KT1	PM8
𝑓1𝑥3	0.6𝑒−9	0.1𝑒−4	0.1𝑒−43	0.4𝑒−325	0.4𝑒−328
𝑓2𝑥3	0.1𝑒−9	0.5𝑒−8	0.7𝑒−59	0.9𝑒−462	0.4𝑒−478
𝑓3𝑥3	0.6𝑒−8	0.3𝑒−6	0.1𝑒−51	0.7𝑒−391	0.1𝑒−391
𝑓4𝑥3	0.3𝑒−3	0.4	0.2𝑒−170	0.1𝑒−167	0.6𝑒−186
𝑓5𝑥3	0.7𝑒−5	0.1𝑒−1	0.1𝑒−38	0.1𝑒−75	0.3𝑒−216
𝑓6𝑥3	0.3𝑒−6	0.1𝑒−8	0.6𝑒−98	0.1𝑒−476	0.2𝑒−623