Table 5 Convergence of the algorithm (46) in Example 4.2
n | \(x^{n}_{1}\) | \(x^{n}_{2}\) | \(\| \textbf{x}_{n} - \textbf{x}_{n+1} \|\) |
|---|---|---|---|
0 | 1.0000000 | 0.0000000 | – |
1 | 0.6250000 | 0.2000000 | 0.4250000 |
2 | 0.3246879 | 0.3150000 | 0.3215779 |
3 | 0.1794026 | 0.3774509 | 0.1581389 |
4 | 0.1139924 | 0.4124193 | 0.0741707 |
⋮ | ⋮ | ⋮ | ⋮ |
50 | 0.0080038 | 0.4937886 | 0.0002045 |
51 | 0.0078488 | 0.4939094 | 0.0001965 |
52 | 0.0076997 | 0.4940257 | 0.0001890 |
53 | 0.0075561 | 0.4941375 | 0.0001820 |
⋮ | ⋮ | ⋮ | ⋮ |
94 | 0.0042831 | 0.4966832 | 0.0000579 |
95 | 0.0042383 | 0.4967179 | 0.0000567 |
96 | 0.0041945 | 0.4967520 | 0.0000555 |
97 | 0.0041515 | 0.4967853 | 0.0000544 |
98 | 0.0041094 | 0.4968180 | 0.0000533 |