The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 20 The KM results for updating the data set from Table 18
From: Enhancing the distance minimization methods of matrix updating within a homothetic paradigm
KM | \({\mathbf{X}}\) | \({\mathbf{u}}_{{\mathbf{X}}} = {\mathbf{u}}\) | KM | \({\mathbf{Q}}\) | \({\hat{\mathbf{u}}}_{{\mathbf{A}}}^{ - 1} {\mathbf{u}}_{{\mathbf{X}}}\) | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
21.23 | 30.99 | − 10.61 | 32.90 | 74.50 | 1.06 | 0.91 | 1.06 | 0.91 | 0.93 | ||
− 21.25 | 160.68 | 42.67 | 194.12 | 376.22 | 1.06 | 1.06 | 1.07 | 1.03 | 1.05 | ||
10.66 | 76.35 | 21.25 | 0.11 | 108.37 | 1.07 | 1.06 | 1.06 | 10.82 | 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 |