Potra-Pták Iterative Method with Memory

Table 2

𝑓₂(𝑥)=∏⁵_𝑖=1(𝑥−𝑖), 𝛼=2, 𝑥₀=1.6, 𝛾₀=0.01.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	𝑟𝑐 (20)
Potra-Pták without memory	5.522 (−3)	1.063 (−10)	7.391 (−41)	3.910
Equations (8) and (17) with memory	5.623 (−3)	3.822 (−16)	1.170 (−93)	5.888
Kung and Traub [1] (without memory)	6.125 (−3)	2.402 (−9)	5.453 (−35)	4.004
Equation (34) with memory	6.125 (−3)	5.888 (−15)	1.651 (−86)	5.955
Zheng at al. [5] without memory	6.021 (−3)	1.525 (−9)	6.077 (−36)	4.003
Equation (35) with memory	6.021 (−3)	3.251 (−15)	1.274 (−88)	5.985