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

Table 21 The iWSRD results for updating the data set from Table 18

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

iWSRD

\({\mathbf{X}}\)

   

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

iWSRD

\({\mathbf{Q}}\)

   

\({\hat{\mathbf{u}}}_{{\mathbf{A}}}^{ - 1} {\mathbf{u}}_{{\mathbf{X}}}\)

 

19.90

31.69

− 10.28

33.20

74.50

 

0.99

0.93

1.03

0.92

0.93

 

− 19.62

159.34

42.58

193.92

376.22

 

0.98

1.05

1.06

1.03

1.05

 

10.37

76.99

21.00

0.01

108.37

 

1.04

1.07

1.05

1.01

1.06

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

10.64

268.02

53.30

227.13

559.09

\({\mathbf{v}}_{{\mathbf{X}}}^{\prime } {\hat{\mathbf{v}}}_{{\mathbf{A}}}^{ - 1}\)

1.06

1.04

1.07

1.01

1.03

  1. With the same location of underlined matrix elements as in Table 18