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Table 4 System (24): CPU time needed on average by the classical and generalized Newton methods to obtain a solution in less than 14 iterations, based on the data in Table 3

From: A generalized multivariable Newton method

\(s_{i}(x)\)

Time needed to get a single soln [sec]

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

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

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

\(x_{i}\)

3.8 × 10−5

1.6 × 10−3

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

4.3 × 10−5

5.3 × 10−5

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

1.0 × 10−4

8.7 × 10−3

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

6.0 × 10−5

2.0 × 10−4

1.8 × 10−2

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

1.6 × 10−4

1.3 × 10−4

7.1 × 10−3