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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 17 The GRAS homothetic test results for the data set from Table 10 at k = 2 and 10

From: Enhancing the distance minimization methods of matrix updating within a homothetic paradigm

GRAS

\({\mathbf{X}} \ne 2{\mathbf{A}}\)

   

\({\mathbf{u}}_{{\mathbf{X}}} = 2{\mathbf{u}}_{{\mathbf{A}}}\)

GRAS

\({\mathbf{X}} \ne 10{\mathbf{A}}\)

   

\({\mathbf{u}}_{{\mathbf{X}}} = 10{\mathbf{u}}_{{\mathbf{A}}}\)

 

24.38

68.63

− 5.62

72.61

160.00

 

70.57

354.96

− 1.14

375.61

800.00

 

− 16.86

298.60

69.22

369.04

720.00

 

− 6.13

1467.62

324.41

1814.09

3600.00

 

12.48

148.77

36.40

202.34

400.00

 

35.56

757.42

176.73

1030.30

2000.00

\({\mathbf{v}}_{{\mathbf{X}}}^{\prime } = 2{\mathbf{v}}_{{\mathbf{A}}}^{\prime }\)

20.00

516.00

100.00

644.00

1280.00

\({\mathbf{v}}_{{\mathbf{X}}}^{\prime } = 10{\mathbf{v}}_{{\mathbf{A}}}^{\prime }\)

100.00

2580.00

500.00

3220.00

6400.00

  1. With the same location of underlined matrix elements as in Table 10