Research Article
A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations
Table 1
Comparison between some methods of Halley’s family in the case of monotonic convergence.
| | | | | | | | H6 | H7 |
| | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | | 6.859387274155 | 5.355026082052 | 3.044792441275 | 4.011964011203 | 3.687806370693 | 3.473622813069 | 3.328990435280 | 3.229883661414 | | 3.328990435280 | 3.028225951431 | 3.000000000072 | 3.000028422107 | 3.000000321176 | 3.000000001820 | 3.000000000005 | 3.0 | | 3.000633220075 | 3.000000001820 | 3.0 | 3.0 | 3.0 | 3.0 | 3.0 | | | 3.000000000005 | 3.0 | | | | | | | | 3.0 | | | | | | | | | 5 | 4 | 3 | 3 | 3 | 3 | 3 | 2 | | 1.6606 | 2.2382 | 2.9369 | 3.7147 | 4.5447 | 5.4116 | 6.3054 | __ | | 8.5-02 | 2.2-03 | 3.6-04 | 2.7-05 | 9.9-07 | 1.7-08 | 1.5-10 | __ |
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