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

Table 1

The test functions considered in this paper.

Test functions	Zeros	Multiplicity
𝑓1(𝑥)=(sin(𝑥))^2+𝑥^5	𝑥^∗1=0	5
𝑓2(𝑥)=1+𝑥+cos(𝜋𝑥/2)−√1−𝑥^23	𝑥^∗2≈−0.728584046444826…	3
𝑓3(𝑥)=(sin(𝑥))^2−𝑥^2+1^4	𝑥^∗3≈1.404491648215341…	4