Further Development of Jarratt Method for Solving Nonlinear Equations

Table 2

Comparison of various three-point iterative methods.

Functions	(2.6)	(2.23)	(2.25)	(3.1)	(3.2)	(3.3)
𝑓1(𝑥),𝑥0=0.25	0.440𝑒−166	0.409𝑒−185	0.123𝑒−161	0.284𝑒−149	0.102𝑒−144	0.126𝑒−217
𝑓2(𝑥),𝑥0=1.1	0.181𝑒−78	0.775𝑒−37	0.146𝑒−53	0.195𝑒−41	0.238𝑒−39	0.174𝑒−38
𝑓3(𝑥),𝑥0=2.1	0.138𝑒−118	0.126𝑒−113	0.120𝑒−112	0.461𝑒−100	0.533𝑒−96	0.236𝑒−118
𝑓4(𝑥),𝑥0=−0.5	0.508𝑒−199	0.104𝑒−179	0.391𝑒−202	0.155𝑒−183	0.745𝑒−171	0.471𝑒−187
𝑓5(𝑥),𝑥0=0.25	0.708𝑒−122	0.440𝑒−80	0.748𝑒−120	0.199𝑒−63	0.185𝑒−50	0.530𝑒−128
𝑓6(𝑥),𝑥0=1.2	0.266𝑒−183	0.431𝑒−192	0.416𝑒−178	0.327𝑒−164	0.301𝑒−159	0.131𝑒−211
𝑓7(𝑥),𝑥0=2	0.278𝑒−193	0.150𝑒−255	0.285𝑒−190	0.851𝑒−176	0.152𝑒−169	0.528𝑒−203
𝑓8(𝑥),𝑥0=0.25	0.444𝑒−187	0.343𝑒−194	0.551𝑒−186	0.133𝑒−181	0.153𝑒−179	0.105𝑒−192
𝑓9(𝑥),𝑥0=1.7	0.941𝑒−125	0.115𝑒−164	0.145𝑒−122	0.805𝑒−107	0.587𝑒−100	0.573𝑒−128
𝑓10(𝑥),𝑥0=4.4	0.122𝑒−157	0.110𝑒−135	0.231𝑒−147	0.101𝑒−129	0.132𝑒−124	0.559𝑒−141