Research Article
Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels
Table 2
Upper and lower bounds for Example
1 for
.
| UN-Ob | LLFoS | ULFoS | ELFoS | Error |
| | 0.84148 | 0.84148 | 0.84147 | 0.00001 | | 0.38180 | 0.38180 | 0.38177 | 0.00003 | | 0.23916 | 0.23916 | 0.23913 | 0.00003 | | 0.17176 | 0.17176 | 0.17174 | 0.00002 | | 0.13309 | 0.13309 | 0.13308 | 0.00001 | | 0.10823 | 0.10823 | 0.10822 | 0.00001 | | 0.09100 | 0.09100 | 0.09098 | 0.00002 | | 0.07839 | 0.07839 | 0.07837 | 0.00002 | | 0.06878 | 0.06878 | 0.06877 | 0.00001 | | 0.06123 | 0.06123 | 0.06122 | 0.00001 | | 0.05515 | 0.05515 | 0.05514 | 0.00001 | | | | | | | 0.02750 | 0.02750 | 0.02750 | 0.00000 | | | | | | | 0.01826 | 0.01826 | 0.01826 | 0.00000 | | | | | | | 0.01366 | 0.01366 | 0.01366 | 0.00000 |
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