R software

MATLAB software

PLA

NR

BFGS

NM

PLA

LM

TR

IP

0.626

0.622

0.622

0.623

0.632

0.628

0.628

0.628

0.061

0.055

0.055

0.055

0.060

0.053

0.053

0.053

0.206

0.226

0.226

0.226

0.205

0.226

0.226

0.226

0.733

0.720

0.720

0.719

0.735

0.721

0.721

0.721

Min. iterations

3

2

11

8

3

2

2

6

Max. iterations

3

3

11

19

3

3

13

20

Mean iterations

3.0

2.9

11.0

12.0

3.0

3.0

6.1

11.5

CPU time

7.11E−04

3.75E−03

1.85E−01

2.81E−01

1.30E−03

4.26E−02

5.14E−02

4.99E−01

Duration ratio

1

5

260

395

1

33

39

383

MSE

1.00E−02

9.86E−03

9.86E−03

9.84E−03

1.15E−02

1.13E−02

1.13E−02

1.13E−02