A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations

Table 1

The examples considered in this study.

Test functions	Zeros
𝑓1(𝑥)=𝑥^2−𝑒^𝑥−3𝑥+2	𝛼≈0.25753028543986079
𝑓2(𝑥)=𝑥𝑒^𝑥2−sin^2(𝑥)+3cos(𝑥)+5	𝛼≈−1.207647827130919
𝑓3(𝑥)=sin(𝑥)𝑒^𝑥+Ln(𝑥^2+1)	𝛼≈0
𝑓4(𝑥)=𝑥^5+𝑥^4+4𝑥^2−15	𝛼≈1.3474280989683053
𝑓5(𝑥)=10𝑥𝑒^−𝑥2−1	𝛼≈1.6796306104284499
𝑓6(𝑥)=cos(𝑥)−𝑥	𝛼≈0.73908513321516064
𝑓7(𝑥)=𝑒^−𝑥2+𝑥+2−1	𝛼≈−1.000000000000000
𝑓8(𝑥)=Ln(𝑥^2+𝑥+2)−𝑥+1	𝛼≈4.1525907367571583