A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros

Table 3

Convergence behavior with 𝑓(𝑥)=(16+𝑥²)³(log(𝑥²+17))⁴,  (𝑚,𝜆,𝜌)=(7,1,−1),  𝛼=−4𝑖.

𝑛	𝑥𝑛	|𝑓(𝑥𝑛)|	|𝑥𝑛−𝛼|	|𝑒𝑛+1/𝑒^4𝑛|	𝜂
0	−3.94𝑖	0.00249127	0.0600000		0.2398240851
1	−4.00000168928648𝑖	8.23314×10^−35	1.68929×10^−6	0.1303461794
2	−4.00000000000000𝑖	2.27416×10^−160	1.95318×10^−24	0.2398437513
3	−4.00000000000000𝑖	1.32326×10^−662	3.49027×10^−96	0.2398240851
4	−4.00000000000000𝑖	0.0×10^−2096	0.0×10^−299