Table 4 Values of m , k , and \(\pmb{\varepsilon_{k}}\) for Example 7.3 ( \(\pmb{{\mathscr{R} = 0.033867}}\) )
N | m | \(\boldsymbol{E_{f}(x^{(m)})}\) | \(\boldsymbol{\varepsilon_{m}}\) | k | \(\boldsymbol{\varepsilon_{k}}\) | \(\boldsymbol{\varepsilon_{k + 1}}\) |
|---|---|---|---|---|---|---|
1 | 18 | 0.000060 | 6.095859 × 10−5 | 20 | 1.620028 × 10−38 | 4.276235 × 10−114 |
2 | 12 | 0.015335 | 2.153155 × 10−2 | 14 | 1.095084 × 10−46 | 1.779476 × 10−230 |
3 | 10 | 0.018005 | 2.769333 × 10−2 | 12 | 8.917532 × 10−86 | 4.482714 × 10−596 |
4 | 9 | 0.005514 | 6.130790 × 10−3 | 10 | 4.221856 × 10−21 | 7.250879 × 10−184 |
5 | 9 | 0.000000 | 1.159694 × 10−15 | 10 | 5.021359 × 10−165 | 5.118016 × 10−1,808 |
6 | 8 | 0.000237 | 2.386016 × 10−4 | 9 | 8.455240 × 10−48 | 1.280870 × 10−612 |
7 | 8 | 0.000000 | 2.723047 × 10−17 | 8 | 2.723047 × 10−17 | 8.926059 × 10−249 |
8 | 7 | 0.018995 | 2.934241 × 10−2 | 8 | 2.885374 × 10−30 | 4.152134 × 10−503 |
9 | 7 | 0.002180 | 2.274734 × 10−3 | 8 | 3.792876 × 10−51 | 1.140751 × 10−958 |
10 | 7 | 0.000000 | 5.185525 × 10−7 | 8 | 1.620086 × 10−132 | 2.936276 × 10−2,768 |
30 | 5 | 0.000181 | 1.821419 × 10−4 | 6 | 1.395923 × 10−226 | 1.902920 × 10−13,777 |