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Table 15 System (29): CPU time needed on the average by the classical and generalized Newton methods to obtain a solution in less than 14 iterations, based on the data in Table 14

From: A generalized multivariable Newton method

\(s_{i}(x)\)

Time needed to get a single soln [sec]

\([-3,3]^{2}\)

\([-10,10]^{2}\)

\([-100,100]^{2}\)

\(x_{i}\)

1.1 × 10−4

1.8 × 10−4

\(x_{i}^{3}\)

9.9 × 10−5

\(\sinh (x_{i})\)

4.4 × 10−4

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

1.7 × 10−4

5.6 × 10−3

\(\tan {x_{i}}\)

2.1 × 10−3

1.2 × 10−2