Theory and Modern Applications
Table 6 \(f_{1}(x) = e^{x}-2^{-x}+2 \operatorname{Cos}(x)-6\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 53 | −0.8325792882709923 | −1.110223e − 15 | 6.661338e − 16 |
\(\mathrm{QBM}_{b}\) | 51 | −0.8325792882709914 | 1.776357e − 15 | 1.332268e − 15 |
\(\mathrm{QBM}_{c}\) | 1 | −0.8325792882709915 | 1.554312e − 15 | 0 |
Bisection | 46 | −0.8325792882709777 | 4.463097e − 14 | 2.842171e − 14 |
Regula falsi | 11 | −0.8325792882709121 | 2.513545e − 13 | −1.72617e − 12 |
Newton–Raphson | 6 | −0.832579288270992 | 0 | 1.110223e − 16 |