Aggregation Matrix
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Contents
Definition
Aggregation Matrix in the context of Input-Output Analysis is a Boolean Matrix 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. Mathematically a aggregation matrix T is a matrix, where each value is either zero or one.
Vector Quantity Aggregation
A vector of dimension N is aggregated through its pre-multiplication with the aggregation matrix.
Matrix Quantity Aggregation
A matrix of dimension N is aggregated through its pre-multiplication with the aggregation matrix and the post-multiplication with the aggregation matrix transpose.