Table 2 System (24): Asymptotic error constants of the classical (\(s_{i}(x) = x_{i}\), \(i = 1,2\)) and generalized (\(s_{i}(x) = x_{i}^{3}\), \(i = 1,2\)) Newton methods
Soln | \(s_{i}(x)\) | \([\|\mu (x^{*})\|/2, \|\rho (x^{*})\|/2]\) | λ | \(\lambda _{N}/\lambda _{\mathrm{GN}}\) |
|---|---|---|---|---|
1 & 2 | \(x_{i}\) | [0,1.7] | 1.06 | |
\(x_{i}^{3}\) | [0,0.8] | 0.35 | 3.0 |