Journal of Applied Mathematics / 2020 / Article / Tab 3

Research Article

A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations

Table 3

Comparison with other third order methods.

Test: number of iterations/: approximate asymptotic constants
NMCBCHSHH0


1.68
6777443333
2.332.062.060.200.050.060.060.060.06

4.5
7555443333
0.230.230.220.183e-27e-36e-36e-36e-3

-1.3
5544433333
2.740.440.270.300.110.110.110.110.11
6654433333
1.47.413.332.770.880.100.090.090.090.09

1.4
5544433333
3.911.280.910.950.540.530.530.530.53

7
5444433222
3-23-23-22-23-48-7___

-0.485
6444444433
1.741.681.610.810.390.470.470.470.47

1.1
5544433333
1.260.490.320.290.170.160.170.170.17

2.7
6555443333
4.116.825.571.340.861.011.031.481.02

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