Research Article
A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations
Table 1
Numerical results from
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| | | | | | | | | | | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.6629 | iter | 9 | 7 | 5 | 5 | 3 | e-time | 0.1217 | 0.1891 | 0.1139 | 0.1033 | 0.0927 |
| | | | | | | | | | | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.8723 | iter | 9 | 11 | 5 | 5 | 3 | e-time | 0.1282 | 0.2791 | 0.1161 | 0.1092 | 0.1075 |
| | | | | 1.0746e-143 | 1.4483e-112 | 5.6495e-024 | | | | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 7.0731 | iter | 8 | 6 | 5 | 5 | 3 | e-time | 0.0746 | 0.0894 | 0.0874 | 0.0867 | 0.0468 |
| | | | | | | | | | | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.8325 | iter | 10 | 6 | 5 | 5 | 3 | e-time | 0.1176 | 0.1443 | 0.1246 | 0.0914 | 0.0930 |
| | | | | | | | | | 0 | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.8181 | iter | 10 | 7 | 5 | 5 | 3 | e-time | 0.1168 | 0.1353 | 0.0945 | 0.1059 | 0.0596 |
| | | | — | | | | | | — | 0 | 0 | | ACOC | 2.0000 | — | 4.0000 | 4.0000 | 5.9331 | iter | 8 | nc | 5 | 5 | 3 | e-time | 0.1245 | — | 0.1576 | 0.1418 | 0.1226 |
| | | | | | | | | | | | | | ACOC | 2.0000 | 3.0000 | 3.9999 | 4.0000 | 6.8055 | iter | 11 | 6 | 5 | 5 | 3 | e-time | 0.1671 | 0.1696 | 0.1426 | 0.1349 | 0.0732 |
| | | | | | | | | | 0 | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.7788 | iter | 11 | 7 | 5 | 5 | 3 | e-time | 0.1886 | 0.2356 | 0.1797 | 0.1463 | 0.1170 |
| | | | | | | | | | 0 | 0 | 0 | | ACOC | 2.0000 | 3.0000 | 4.0000 | 4.0000 | 6.7613 | iter | 15 | 6 | 7 | 8 | 4 | e-time | 0.2368 | 0.1680 | 0.2684 | 0.1902 | 0.1232 |
| | | | | | | | | | 0 | 0 | | | ACOC | 3.0000 | 5.0000 | 5.0000 | 4.9922 | 8.7406 | iter | 7 | 5 | 5 | 4 | 3 | e-time | 0.0955 | 0.1471 | 0.0746 | 0.0733 | 0.0749 |
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