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

Table 3

Results of comparisons for different methods after three full iterations.

Values of functions	Guess	(3)	(4)	(5)	(6)	(14)
𝑓1𝑥3	0.2	0.2𝑒−98	0.8𝑒−120	0.7𝑒−206	0.1𝑒−128	0.8𝑒−206
𝑓2𝑥3	−0.8	0.3𝑒−72	0.1𝑒−111	0.7𝑒−142	0.3𝑒−141	0.9𝑒−142
𝑓3𝑥3	2	0.2𝑒−47	0.6𝑒−68	0.3𝑒−99	0.5𝑒−98	0.4𝑒−99