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An Aggregation Matrix MATLAB Function

Author

Listed:
  • Caleb Stair

    (Regional Research Institute, West Virginia University)

Abstract

This Technical Document describes the foundations for an aggregation matrix function implemented in MATLAB, including the format and structure of the required aggregation vector used as an argument to the function. The function is passed with the N-dimensional aggregation vector as an argument. The aggregation vector contains N values ranging from 1 to M, each of which is the aggregate index corresponding to the N pre-aggregation indices. The function returns an aggregation matrix with M rows and N columns. Pre-multiplying an existing matrix with N rows by the aggregation matrix reduces the row dimensionality from N to M by adding the sectors to be aggregated. Post-multiplication by the transpose of the aggregation matrix reduces the column dimensionality from N to M accordingly.

Suggested Citation

  • Caleb Stair, 2013. "An Aggregation Matrix MATLAB Function," Working Papers Technical Document 2013-0, Regional Research Institute, West Virginia University.
    • Handle: RePEc:rri:wpaper:2013td04
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    File URL: https://researchrepository.wvu.edu/rri_tech_docs/3/
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    Cited by:

    1. Jing Chen, 2017. "A Technical Note on Spatial Aggregation for Independent Cities and Counties in Virginia," Working Papers Technical Document 2017-0, Regional Research Institute, West Virginia University.

    More about this item

    Keywords

    aggregate/aggregation matrix; input-output; IO;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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