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

Table 1

𝑓(𝑥)=exp(𝑥²−3𝑥)sin(𝑥)+log(𝑥²+1),𝑥₀=0.35, 𝛼=0, 𝛾=1.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	COC (39)
New Method (31)	0.61569 (−3)	0.23067 (−21)	0.91264 (−169)	7.999
New Method (32)	0.56124 (−3)	0.32323 (−21)	0.38634 (−167)	8.000
New Method (33)	0.55232 (−3)	0.28429 (−21)	0.13833 (−167)	8.000
New Method (34)	0.62453 (−3)	0.25853 (−21)	0.22480 (−168)	7.999
Method (35)	0.19676 (−4)	0.44197 (−33)	0.28657 (−262)	8.000
Method (36)	0.85597 (−4)	0.28686 (−29)	0.45644 (−233)	8.000
Method (37)	0.17236 (−4)	0.32121 (−35)	0.46744 (−281)	8.000
Method (38)	0.34824 (−4)	0.36172 (−33)	0.48972 (−265)	8.000