Theory and Modern Applications
Table 9 \(f_{4}(x) = 2x \operatorname{Cos}(x)-(x-2)^{2}\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 56 | 0.9484340699196361 | 6.661338e − 16 | 1.554312e − 15 |
\(\mathrm{QBM}_{b}\) | 55 | 0.9484340699196359 | 2.220446e − 16 | 4.996004e − 16 |
\(\mathrm{QBM}_{c}\) | 1 | 0.948434069919636 | 0 | 0 |
Bisection | 50 | 0.9484340699196361 | 6.661338e − 16 | 8.881784e − 16 |
Regula falsi | 63 | 0.9484340699196361 | 6.661338e − 16 | −4.44089e − 16 |
Newton–Raphson | 7 | 0.948434069919636 | 6.661338e − 16 | 6.661338e − 16 |