Research Article
Semidefinite Optimization Providing Guaranteed Bounds on Linear Functionals of Solutions of Linear Integral Equations with Smooth Kernels
Table 3
Upper and lower bounds for Example
2 for
.
| UN-Ob | LLFoS | ULFoS | ELFoS | Error |
| | 1.333335 | 1.333335 | 1.333333 | 0.000000 | | 0.916669 | 0.916669 | 0.916667 | 0.000002 | | 0.700002 | 0.700002 | 0.700000 | 0.000002 | | 0.566668 | 0.566668 | 0.566667 | 0.000001 | | 0.476192 | 0.476192 | 0.476190 | 0.000002 | | 0.410716 | 0.410716 | 0.410714 | 0.000002 | | 0.361113 | 0.361113 | 0.361111 | 0.000002 | | 0.322224 | 0.322224 | 0.322222 | 0.000002 | | 0.290910 | 0.290910 | 0.290909 | 0.000001 | | 0.265153 | 0.265153 | 0.265152 | 0.000000 | | 0.243591 | 0.243591 | 0.243590 | 0.000000 | | | | | | | 0.134388 | 0.134388 | 0.134387 | 0.000000 | | | | | | | 0.092804 | 0.092804 | 0.092803 | 0.000000 | | | | | | | 0.070875 | 0.070875 | 0.070875 | 0.000000 |
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