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

Table 6 Initial matrix with zero entries and the target marginal totals

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

0.00

36.00

90.00

 

19.16

33.38

0.00

32.10

84.64

 

0.00

152.00

40.00

188.00

380.00

 

0.00

158.16

41.36

195.02

394.54

 

10.00

72.00

20.00

98.00

200.00

 

9.80

76.48

22.08

104.32

212.68

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

30.00

258.00

60.00

322.00

670.00

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

28.96

268.02

63.44

331.44

691.86