Difference between revisions of "Aggregation Matrix"

Revision as of 15:15, 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

@@ Line 6: / Line 6: @@
 Vectors and Matrices can be aggregated by multiplying with the aggregation matrix:
-:<math>\mathbf{y}\_{s} = \mathbf{S} \mathbf{y}</math>
+:<math>\mathbf{y}_{s} = \mathbf{S} \mathbf{y}</math>
-:<math>\mathbf{A}\_{s} = \mathbf{S} \mathbf{A} \mathbf{S}^T</math>
+:<math>\mathbf{A}_{s} = \mathbf{S} \mathbf{A} \mathbf{S}^T</math>
 == See Also ==