Table 1 Table of values choosing \(x_{0}=x_{1}=0.5\)
n | Algorithm (1.5) | Algorithm (3.1) |
|---|---|---|
\(|x_{n+1}|\) | \(|x_{n+1}|\) | |
1 | 0.5 | 0.5 |
3 | 0.2113 | 0.4167 |
10 | 0.1717 | 0.0374 |
16 | 0.1664 | 0.006 |
30 | 0.1623 | \(2.668\times e^{-6}\) |
60 | 0.1599 | \(4.667\times e^{-11}\) |
85 | 0.1591 | \(7.703\times e^{-15}\) |
100 | 0.1589 | Successful |
200 | 0.1579 | Successful |
500 | 0.1572 | Successful |
1000 | 0.1568 | Successful |
1500 | 0.1566 | Successful |
2000 | 0.1565 | Successful |