Theory and Modern Applications
Table 7 \(f_{2}(x) = 1{,}000{,}000 e^{x}+\frac{435{,}000}{x}(e^{x}-1)-1{,}564{,}000\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 67 | 0.1009979296857497 | 2.328306e − 10 | 5.828671e − 16 |
\(\mathrm{QBM}_{b}\) | 55 | 0.1009979296857496 | −4.656613e − 10 | 2.428613e − 16 |
\(\mathrm{QBM}_{c}\) | 1 | 0.1009979296857490 | −1.396984e − 09 | 0 |
Bisection | 50 | 0.1009979296857484 | −2.095476e − 09 | 1.776357e − 15 |
Regula falsi | 36 | 0.1009979296857490 | −1.396984e − 09 | 1.096345e − 15 |
Newton–Raphson | 6 | 0.100997929685750 | 0 | −2.22045e − 16 |