Table 8 Numerical results for Example 4.3 with \(x^{0}=(1.0,1.5)\)
j | \(x^{j+1}\) | \(q_{j}\) | \(\epsilon_{j}\) | \(f_{1}(x^{j+1})\) | \(f_{2}(x^{j+1})\) | \(f_{0}(x^{j+1})\) |
|---|---|---|---|---|---|---|
0 | (2.330261,3.061875) | 5 | 10−1 | −0.1226776 | −0.1131323 | −5.392137 |
1 | (2.329664,3.161611) | 15 | 10−2 | −0.018055 | −0.016207 | −5.491275 |
2 | (2.329639,3.171941) | 45 | 10−3 | −0.007524 | −0.005993 | −5.501580 |
3 | (2.329560,3.177804) | 135 | 10−4 | −0.001013 | −0.000503 | −5.507363 |
4 | (2.329593,3.177793) | 405 | 10−5 | −0.001297 | −0.000357 | −5.507386 |
5 | (2.329622,3.177781) | 1215 | 10−6 | −0.001544 | −0.000234 | −5.507403 |