Theory and Modern Applications
Table 2 Relative error and computational time for Example 5.2
Initial value | Dimension 2 × 2 | Dimension 10 × 10 | Dimension 100 × 100 | Dimension 120 × 120 | ||||
|---|---|---|---|---|---|---|---|---|
\(\theta _{\mathrm{opt}} = 9.8701\text{e-}05\) | \(\theta _{\mathrm{opt}} = 1.6800\text{e-}05\) | \(\theta _{\mathrm{opt}} = 1.4951\text{e-}05\) | \(\theta _{\mathrm{opt}} = 1.4945\text{e-}05\) | |||||
CT | Error | CT | Error | CT | Error | CT | Error | |
\(X_{1}\) | 3.4340e-04 | 0.2823 | 6.1930e-04 | 0.0934 | 0.0134 | 0.1096 | 0.0236 | 0.1098 |
\(X_{2}\) | 3.1870e-04 | 0.2770 | 3.7480e-04 | 0.0928 | 0.0151 | 0.1095 | 0.0240 | 0.1098 |
\(X_{3}\) | 3.0990e-04 | 0.2610 | 5.6450e-04 | 0.0915 | 0.0143 | 0.1096 | 0.0231 | 0.1099 |
\(X_{4} \) | 3.1040e-04 | 0.2250 | 4.5500e-04 | 0.0925 | 0.0147 | 0.1110 | 0.0228 | 0.1113 |
\(X_{5}\) | 3.1020e-04 | 0.2102 | 3.8710e-04 | 0.0947 | 0.0146 | 0.1120 | 0.0233 | 0.1124 |
\(X_{6}\) | 3.1550e-04 | 0.1867 | 3.7830e-04 | 0.1004 | 0.0145 | 0.1144 | 0.0225 | 0.1149 |