Theory and Modern Applications
Table 1 The iterates of Picard iterations in Example 3.4
\(x_{0}=50\) | \(x_{0}=100\) | \(x_{0}=150\) | \(x_{0}=200\) | |
|---|---|---|---|---|
\(x_{1}\) | 12.500000 | 25.000000 | 37.500000 | 50.000000 |
\(x_{2}\) | 3.125000 | 6.250000 | 9.375000 | 12.500000 |
\(x_{3}\) | 0.781250 | 1.562500 | 2.343750 | 3.125000 |
\(x_{4}\) | 0.000000 | 0.390625 | 0.585938 | 0.781250 |
\(x_{5}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
\(x_{6}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
\(x_{7}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
\(x_{8}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
\(x_{9}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
\(x_{10}\) | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |