New Mono- and Biaccelerator Iterative Methods with Memory for Nonlinear Equations

Table 1

𝑓₁(𝑥)=𝑒^(𝑥2−4)+sin(𝑥−2)−𝑥⁴+15,𝑥₀=1.67,𝛼=2,𝛽₀=0.01.

Methods	|𝑥1−𝛼|	|𝑥2−𝛼|	|𝑥3−𝛼|	𝑟𝑐
Method (8)	1.9962 (−6)	5.7840 (−68)	6.2205 (−808)	12.025
Method (9)	1.6456 (−6)	2.2536 (−68)	1.0563 (−812)	12.032
Method (10)	1.2320 (−5)	2.7753 (−58)	9.2624 (−692)	12.032
Kung-Traub’s method	5.8921 (−4)	2.0646 (−40)	6.4593 (−477)	11.974
Sharma et al.’s method	9.9223 (−4)	4.4897 (−38)	4.8572 (−448)	11.937
Lotfi and Tavakoli’s method	1.3617 (−4)	1.1746 (−50)	3.3485 (−599)	11.908
Lotfi and Tavakoli’s method	2.2254 (−4)	1.0413 (−45)	1.7458 (−540)	11.971
Zheng et al.’s method	2.3735 (−6)	3.9324 (−67)	5.3263 (−798)	12.025
Method (22)	4.3356 (−4)	2.7252 (−53)	1.5758 (−737)	13.907
Method (23)	8.6117 (−4)	3.8041 (−49)	1.6820 (−679)	13.898