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Table 5 System (25): Asymptotic error constants of the classical and generalized Newton methods

From: A generalized multivariable Newton method

Soln

\(s_{i}(x)\)

\([\|\mu (x^{*})\|/2, \|\rho (x^{*})\|/2]\)

λ

\(\lambda _{N}/\lambda _{\mathrm{GN}}\)

1 & 2

\(x_{i}\)

[0.05,2.81]

0.9

 

\(e^{x_{i}}\)

[0.19,2.64]

0.35

2.6