Research Article
Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels
Table 5
Upper and lower bounds for Example
4 for
.
| UN-Ob | LLFoS | ULFoS | ELFoS | Error |
| | 1.7185 | 1.7185 | 1.7183 | 0.0002 | | 1.0002 | 1.0002 | 1.0000 | 0.0002 | | 0.7185 | 0.7185 | 0.7183 | 0.0002 | | 0.5636 | 0.5636 | 0.5634 | 0.0001 | | 0.4647 | 0.4647 | 0.4645 | 0.0001 | | 0.3957 | 0.3957 | 0.3956 | 0.0001 | | 0.3448 | 0.3448 | 0.3447 | 0.0001 | | 0.3056 | 0.3056 | 0.3055 | 0.0001 | | 0.2744 | 0.2744 | 0.2744 | 0.0000 | | 0.2491 | 0.2491 | 0.2490 | 0.0001 | | 0.2281 | 0.2280 | 0.2280 | 0.0000 | | | | | | | 0.1238 | 0.1238 | 0.1238 | 0.0000 | | | | | | | 0.0850 | 0.0850 | 0.0850 | 0.0000 | | | | | | | 0.0648 | 0.0648 | 0.0648 | 0.0000 |
|
|