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

Table 2

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

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	COC (39)
New Method (31)	0.57578 (−3)	0.71057 (−29)	0.38797 (−236)	7.999
New Method (32)	0.45807 (−3)	0.5295 (−31)	0.35165 (−254)	7.999
New Method (33)	0.46574 (−3)	0.65400 (−31)	0.10135 (−253)	7.999
New Method (34)	0.56806 (−3)	0.63795 (−29)	0.16377 (−236)	7.999
Method (35)	0.48202 (−3)	0.27805 (−30)	0.34404 (−248)	7.999
Method (36)	0.31009 (−3)	0.26712 (−31)	0.841965 (−256)	7.999
Method (37)	0.23448 (−3)	0.10417 (−32)	0.15929 (−267)	7.999
Method (38)	0.46334 (−3)	0.23577 (−30)	0.10713 (−248)	7.999