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

Table 3

𝑓(𝑥)=exp(𝑥²−3𝑥)sin(𝑥)+log(𝑥²+1),𝑥₀=0.35, 𝛼=0, 𝛾₀=0.01.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	COC (39)
New Method (31)	0.91937 (−4)	0.18790 (−44)	0.11705 (−532)	11.998
New Method (32)	0.11053 (−3)	0.77050 (−44)	0.31600 (−525)	11.988
New Method (33)	0.11306 (−3)	0.99434 (−44)	0.67431 (−524)	11.987
New Method (34)	0.89413 (−4)	0.13787 (−44)	0.28524 (−534)	11.998
Method (35)	0.14850 (−5)	0.17577 (−61)	0.48167 (−738)	12.097
Method (36)	0.84533 (−4)	0.39381 (−45)	0.10032 (−540)	11.991
Method (37)	0.30874 (−6)	0.17978 (−67)	0.12617 (−812)	12.169
Method (38)	0.16768 (−4)	0.15361 (−56)	0.21643 (−680)	11.988