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Table 11 System (27): 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 10

From: A generalized multivariable Newton method

\(s_{i}(x)\)

Time needed to get a single soln [sec]

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

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

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

\(x_{i}\)

2.6 × 10−5

4.6 × 10−4

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

3.8 × 10−5

3.9 × 10−5

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

9.3 × 10−5

1.1 × 10−2

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

3.4 × 10−5

1.2 × 10−4

1.2 × 10−2

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

3.8 × 10−5

5.1 × 10−5

9.5 × 10−4