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

Table 1 Initial matrix and the target marginal totals, Eurostat (2008), p. 452

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

Year 0

\({\mathbf{A}}\)

   

\({\mathbf{u}}_{{\mathbf{A}}}\)

Year 1

\({\mathbf{X}}\)

   

\({\mathbf{u}}\)

 

20.00

34.00

10.00

36.00

100.00

 

19.16

33.38

10.14

32.10

94.78

 

20.00

152.00

40.00

188.00

400.00

 

18.32

158.16

41.36

195.02

412.86

 

10.00

72.00

20.00

98.00

200.00

 

9.80

76.48

22.08

104.32

212.68

\({\mathbf{v}}_{{\mathbf{A}}}^{\prime }\)

50.00

258.00

70.00

322.00

700.00

\({\mathbf{v}}^{\prime }\)

47.28

268.02

73.58

331.44

720.32