The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 10 Initial matrix with negative 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 | − 10.00 | 36.00 | 80.00 | 19.16 | 33.38 | − 10.14 | 32.10 | 74.50 | ||
− 20.00 | 152.00 | 40.00 | 188.00 | 360.00 | − 18.32 | 158.16 | 41.36 | 195.02 | 376.22 | ||
10.00 | 72.00 | 20.00 | 98.00 | 200.00 | 9.80 | 76.48 | 22.08 | 104.32 | 212.68 | ||
\({\mathbf{v}}_{{\mathbf{A}}}^{\prime }\) | 10.00 | 258.00 | 50.00 | 322.00 | 640.00 | \({\mathbf{v}}_{{\mathbf{A}}}^{\prime }\) | 10.64 | 268.02 | 53.30 | 331.44 | 663.40 |