Theory and Modern Applications
Table 12 \(f_{7}(x) = 230x^{4} + 18x^{3} + 9x^{2} - 221x - 9\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 54 | 0.962398418750542 | 2.273737e − 13 | −1.2212e − 15 |
\(\mathrm{QBM}_{b}\) | 55 | 0.962398418750542 | 4.263256e − 13 | 7.771561e − 16 |
\(\mathrm{QBM}_{c}\) | 1 | 0.962398418750541 | 0 | 0 |
Bisection | 51 | 0.9623984187505417 | 1.136868e − 13 | 4.440892e − 16 |
Regula falsi | 15 | 0.9623984187505368 | −3.12638803e − 12 | 6.183942e − 14 |
Newton–Raphson | 5 | 0.962398418750541 | −3.410605e − 13 | 4.440892e − 16 |