On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter

Table 4

𝑓(𝑥)=exp(𝑥²+𝑥cos(𝑥)−1)sin(𝜋𝑥)+𝑥log(𝑥sin(𝑥)+1),𝑥₀=0.6, 𝛼=0, 𝛾₀=−0.1.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	COC (39)
New Method (31)	0.71066 (−4)	0.20396 (−49)	0.49715 (−596)	12.002
New Method (32)	0.80715 (−4)	0.15495 (−49)	0.65738 (−595)	11.929
New Method (33)	0.78950 (−4)	0.14520 (−49)	0.30139 (−596)	11.931
New Method (34)	0.72833 (−4)	0.22472 (−49)	0.15905 (−595)	12.000
Method (35)	0.64946 (−4)	0.48258 (−50)	0.11725 (−600)	11.936
Method (36)	0.60478 (−4)	0.17480 (−48)	0.27838 (−582)	11.985
Method (37)	0.65693 (−4)	0.27775 (−50)	0.42521 (−607)	11.993
Method (38)	0.86612 (−4)	0.81112 (−64)	0.23877 (−765)	12.089