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Table 2 Comparison of optimal 3rd order methods

From: On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation

Method \(\vert \text{x}_{i}^{ ( 6 ) } - \alpha \vert \) \(\vert \text{f}_{i}^{(6)}\text{(x}_{i}) \vert \) CPU ρ
Single root finding iterative methods
\(f_{4}(x)=\frac{x^{3}+2.87x^{2}-10.28}{4.62}-x\), \(x_{0}=2.5\), CO = 8, \(\alpha = \frac{16}{7}\)
Q1 2.7e−32 3.9e−42 0.032 2.99
E1 1.2e−25 1.8e−34 0.047 2.97
E2 3.5e−26 5.1e−35 0.047 3.00
E3 2.7e−33 1.4e−42 0.034 3.00
E4 5.2e−17 7.6e−26 0.046 2.99
E5 1.1e−33 3.4e−42 0.032 3.00
E6 1.0e−24 1.4e−33 0.045 2.98