An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations

Table 2

Results of comparisons for different methods after three full iterations.

Values of functions	Guess	(3)	(4)	(5)	(6)	(14)
𝑓1𝑥3	0.3	0.7𝑒−80	0.8𝑒−98	0.1𝑒−164	0.3𝑒−118	0.2𝑒−164
𝑓2𝑥3	−0.6	0.7𝑒−72	0.1𝑒−81	0.2𝑒−151	0.4𝑒−151	0.3𝑒−151
𝑓3𝑥3	1.3	0.2𝑒−108	0.5𝑒−163	0.2𝑒−230	0.1𝑒−228	0.3𝑒−230