Theory and Modern Applications
\(x_{i}\) | \(\mathbf{e}^{(1)}\) | \(\mathbf{e}^{(2)}\) | \(\mathbf{e}^{(3)}\) | \(\mathbf{e}^{(4)}\) | \(\mathbf{e}^{(1)}\) | \(\mathbf{e}^{(2)}\) | \(\mathbf{e}^{(3)}\) | \(\mathbf{e}^{(4)}\) |
---|---|---|---|---|---|---|---|---|
\(\Vert \mathbf{x}^{(k+1)}- \mathbf{x}^{(k)} \Vert <10^{-15}\) | \(\Vert \mathbf{Fx}^{(k)} \Vert <10^{-15}\) | |||||||
\(x_{1}\) | 0.003 | 4.3e−9 | 4.7e−28 | 0.0 | 0.003 | 4.3e−9 | 4.2e−28 | 0.0 |
\(x_{2}\) | 0.006 | 1.2e−9 | 9.3e−28 | 0.0 | 0.006 | 9.2e−9 | 9.3e−28 | 0.0 |
\(x_{3}\) | 0.010 | 1.4e−8 | 1.2e−27 | 0.0 | 0.001 | 1.4e−8 | 1.2e−27 | 0.0 |
\(x_{4}\) | 0.010 | 1.8e−8 | 1.5e−27 | 0.0 | 0.011 | 1.8e−8 | 1.5e−27 | 0.0 |
\(x_{5}\) | 0.010 | 2.7e−8 | 2.1e−27 | 0.0 | 0.011 | 2.0e−8 | 2.1e−27 | 0.0 |
\(x_{6}\) | 0.020 | 2.4e−8 | 3.0e−27 | 0.0 | 0.023 | 1.7e−8 | 3.0e−27 | 0.0 |
\(x_{7}\) | 0.020 | 1.7e−8 | 3.0e−27 | 0.0 | 0.020 | 1.0e−8 | 4.1e−27 | 0.0 |
\(x_{8}\) | 0.030 | 1.0e−8 | 4.1e−27 | 0.0 | 0.030 | 2.9e−9 | 4.5e−27 | 0.0 |
\(x_{9}\) | 0.030 | 2.9e−9 | 4.5e−27 | 0.0 | 0.031 | 4.9e−9 | 3.6e−27 | 0.0 |
\(x_{10}\) | 0.030 | 4.9e−9 | 3.6e−27 | 0.0 | 0.035 | 1.1e−8 | 1.6e−27 | 0.0 |
\(x_{11}\) | 0.037 | 1.1e−8 | 1.6e−27 | 0.0 | 0.036 | 1.4e−8 | 1.4e−28 | 0.0 |
\(x_{12}\) | 0.036 | 1.4e−8 | 1.4e−28 | 0.0 | 0.031 | 1.4e−8 | 1.4e−27 | 0.0 |
\(x_{13}\) | 0.034 | 1.4e−8 | 1.4e−27 | 0.0 | 0.032 | 1.3e−8 | 1.4e−27 | 0.0 |
\(x_{14}\) | 0.020 | 1.3e−8 | 2.1e−27 | 0.0 | 0.020 | 1.1e−8 | 1.9e−27 | 0.0 |
\(x_{15}\) | 0.013 | 1.1e−8 | 2.1e−27 | 0.0 | 0.010 | 1.0e−8 | 2.1e−27 | 0.0 |
\(x_{16}\) | 0.017 | 1.0e−8 | 2.4e−27 | 0.0 | 0.012 | 8.2e−9 | 2.0e−27 | 0.0 |
\(x_{17}\) | 0.004 | 8.2e−9 | 1.8e−27 | 0.0 | 0.004 | 5.9e−8 | 1.3e−27 | 0.0 |
\(x_{18}\) | 0.003 | 5.1e−9 | 1.5e−27 | 0.0 | 0.003 | 1.0e−8 | 1.5e−27 | 0.0 |
\(x_{19}\) | 0.001 | 3.3e−9 | 6.4e−28 | 0.0 | 0.001 | 3.2e−9 | 1.6e−28 | 0.0 |