Difference between revisions of "Aggregation Matrix"

Revision as of 15:14, 16 November 2023

Aggregation Matrix in the context of Input-Output Analysis is a Boolean Matrix (composed of zeros and ones) that aims to produce a coarse-grained version of a more granular Input-Output Model.

Aggregation can be for example along sectoral or regional dimensions.

Vectors and Matrices can be aggregated by multiplying with the aggregation matrix:

$$\mathbf{y}\_{s} = \mathbf{S} \mathbf{y}$$

$$\mathbf{A}\_{s} = \mathbf{S} \mathbf{A} \mathbf{S}^T $$

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 == Definition ==
-'''Aggregation Matrix''' in the context of [[Input-Output Analysis]] is a Boolean matrix (composed of zeros and ones) that aim to produce a coarse-grained version of a more granular [[Input-Output Model]]. Aggregation can be for example along sectoral or regional dimensions.
+'''Aggregation Matrix''' in the context of [[Input-Output Analysis]] is a [[Boolean Matrix]] (composed of zeros and ones) that aims to produce a coarse-grained version of a more granular [[Input-Output Model]].
+Aggregation can be for example along sectoral or regional dimensions.
+Vectors and Matrices can be aggregated by multiplying with the aggregation matrix:
+$$\mathbf{y}\_{s} = \mathbf{S} \mathbf{y}$$
+$$\mathbf{A}\_{s} = \mathbf{S} \mathbf{A} \mathbf{S}^T $$
 == See Also ==