Potra-Pták Iterative Method with Memory

Table 1

𝑓₁(𝑥)=log(1+𝑥²)+𝑒^{𝑥2−3𝑥}sin𝑥, 𝛼=0,𝑥₀=0.35, 𝛾₀=0.01.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	𝑟𝑐 (20)
Potra-Pták without memory	6.040 (−3)	5.672 (−10)	8.280 (−37)	3.822
Equations (8) and (17) with memory	6.050 (−3)	8.723 (−15)	6.425 (−84)	5.841
Kung and Traub [1] without memory	5.545 (−3)	4.864 (−9)	3.045 (−33)	3.999
Equation (34) with memory	5.546 (−3)	4.708 (−17)	1.374 (−96)	5.654
Zheng et al. [5] without memory	3.541 (−2)	2.974 (−6)	2.127 (−22)	3.930
Equation (35) with memory	5.647 (−3)	8.272 (−18)	1.022 (−101)	5.658