Research Article
A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations
Table 7
Computational order of convergence
, depending on the initial point
, for the test function
.
| | Function | Computational order of convergence | | WG | FG | NR | CC | K | Bi | H5 |
| | Order | 4 | 5 | 5 | 6 | 6 | 8 | 3 | | | | | | | | | | 3.2 | 3.8126 | 4.8186 | | | | | 3.1381 | | 3.4 | 3.5601 | 4.5698 | 4.7059 | 5.5998 | | | 2.9649 | | 3.7 | 3.9222 | 4.0780 | 4.3604 | 5.1793 | | | 3.1987 | | 4 | 3.7560 | 3.5668 | 3.9211 | 4.6659 | | -9.9472 | 3.1095 | | 4.3 | 3.4810 | 3.1134 | 3.4138 | 4.1552 | 4.9295 | 5.9241 | 3.0837 | | 4.5 | 3.2575 | 2.8586 | 3.0572 | 3.8386 | 4.7599 | 5.9345 | 3.0619 | | 5 | 2.6876 | 2.3810 | 2.2061 | 3.1735 | 4.3238 | 5.4899 | 3.0081 | | 6 | 1.9243 | 1.8673 | 1.2439 | 2.3522 | 3.8402 | 3.7814 | 2.8965 |
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