Theory and Modern Applications
Table 8 \(f_{3}(x) = \ln(x-1)+\operatorname{Cos}(x-1)\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 54 | 1.3977484759587473 | 5.551115e − 16 | 2.886580e − 15 |
\(\mathrm{QBM}_{b}\) | 48 | 1.3977484759587468 | −3.330669e − 16 | 8.881784e − 16 |
\(\mathrm{QBM}_{c}\) | 49 | 1.3977484759587468 | −3.330669e − 16 | 8.881784e − 16 |
Bisection | 46 | 1.3977484759587473 | 5.551115e − 16 | 6.661338e − 16 |
Regula falsi | 53 | 1.3977484759587480 | 2.109424e − 15 | −1.33226e − 15 |
Newton–Raphson | 8 | 1.397748475958747 | 2.220446e − 16 | 0 |