Table 5 Values of m , k , and \(\pmb{\varepsilon_{k}}\) for Example 7.4 ( \(\pmb{{\mathscr{R} = 0.018685}}\) )
N | m | \(\boldsymbol{E_{f}(x^{(m)})}\) | \(\boldsymbol{\varepsilon_{m}}\) | k | \(\boldsymbol{\varepsilon_{k}}\) | \(\boldsymbol{\varepsilon_{k + 1}}\) |
|---|---|---|---|---|---|---|
1 | 15 | 0.007235 | 1.588799 × 10−3 | 17 | 1.057241 × 10−18 | 1.574672 × 10−52 |
2 | 11 | 0.000001 | 1.731641 × 10−7 | 12 | 2.763909 × 10−30 | 2.863869 × 10−144 |
3 | 9 | 0.000026 | 4.171842 × 10−6 | 10 | 5.167701 × 10−32 | 2.328540 × 10−213 |
4 | 8 | 0.000032 | 5.141616 × 10−6 | 9 | 7.830010 × 10−40 | 3.487627 × 10−344 |
5 | 7 | 0.010766 | 2.954474 × 10−3 | 8 | 1.468181 × 10−20 | 2.870206 × 10−208 |
6 | 7 | 0.000002 | 4.201055 × 10−7 | 8 | 7.096655 × 10−71 | 6.481892 × 10−900 |
7 | 7 | 0.000000 | 9.445503 × 10−15 | 8 | 3.169914 × 10−196 | 2.445585 × 10−2,918 |
8 | 6 | 0.010675 | 2.911647 × 10−3 | 7 | 8.218559 × 10−31 | 3.538870 × 10−495 |
9 | 6 | 0.000281 | 4.462548 × 10−5 | 7 | 2.324176 × 10−64 | 1.205364 × 10−1,190 |
10 | 6 | 0.000000 | 1.231259 × 10−7 | 7 | 1.392265 × 10−124 | 1.840079 × 10−2,580 |
30 | 5 | 0.000000 | 2.416285 × 10−34 | 5 | 2.416285 × 10−34 | 1.294365 × 10−1,987 |