Research Article
Some Novel Sixth-Order Iteration Schemes for Computing Zeros of Nonlinear Scalar Equations and Their Applications in Engineering
Table 1
Comparison of efficiency indices of different iterative methods.
| Method | Convergence order | No. of required computations | Efficiency index |
| Noor’s method one | 2 | 3 | 1.2599 | Noor’s method two | 3 | 3 | 1.4422 | Traub’s method | 4 | 4 | 1.4142 | Modified Halley’s method | 5 | 4 | 1.4953 | Algorithm 1 | 6 | 5 | 1.4310 | Algorithm 2 | 6 | 4 | 1.5651 |
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