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Table 4 Numerical experiment results of INM, NM and 3NM

From: A new Newton-like method for solving nonlinear equations

Pr

Dim

INM

NM

3NM

Pr

Dim

INM

NM

3NM

It

Ti

It

Ti

It

Ti

It

Ti

It

Ti

It

Ti

F0

2

2

0.1E−8

2

0.1E−8

1

0.1E−8

F1

2

7

0.001

11

0.001

8

0.1E−8

F2

2

27

0.005

42

0.005

F3

2

9

0.001

11

0.001

8

0.001

F4

10

6

0.008

7

0.007

F5

10

8

0.007

10

0.007

19

0.021

F4

50

5

0.349

9

0.641

F5

50

8

0.121

10

0.187

19

2.589

F4

100

5

2.193

9

3.811

F5

100

8

0.858

10

0.998

19

3.661

F4

500

6

0.008

7

0.007

F5

500

8

61.71

10

75.82

19

141.9

F6

10

5

0.015

5

0.001

4

0.015

F7

10

6

0.1E−8

7

0.1E−8

F6

50

5

0.140

5

0.125

4

0.125

F7

50

8

0.078

10

0.094

F6

100

5

0.702

5

0.764

4

0.733

F7

100

9

0.533

11

0.633

F6

500

5

37.39

5

35.820

4

32.00

F7

500

11

59.18

14

75.53

F8

8

11

0.003

13

0.003

9

0.004

F9

10

2

0.002

2

0.002

2

0.002

F8

60

11

0.212

13

0.239

10

0.209

F9

50

2

0.020

2

0.020

1

0.015

F8

100

11

0.854

13

0.953

10

0.837

F9

100

2

0.140

2

0.136

1

0.082

F8

500

12

71.61

14

83.23

10

62.05

F9

500

1

6.515

1

6.038

1

5.966

F10

10

2

0.004

2

0.004

2

0.005

F11

10

5

0.005

5

0.004

4

0.005

F10

50

2

0.291

2

0.278

2

0.005

F11

50

5

0.114

5

0.123

4

0.143

F10

100

2

2.183

3

3.216

2

3.087

F11

100

5

0.567

5

0.623

4

0.630

F10

500

2

284.2

2

355.3

2

352.8

F11

500

5

33.84

5

32.76

4

29.70