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419 – Contributed Poster Presentations: Government Statistics Section
Reconstructing Matrices With Linear Programming
Luis Frank
Universidad de Buenos Aires
The article explains how to adjust, balance and temporarily disaggregate matrices (to "reconstruct" matrices in a broad sense) with linear programming. The main advantage of this method compared to RAS (standard method recommended in National Accounts manuals) is that it allows reconstructing matrices even with missing data in the benchmark matrix, or with marginal vectors that are inconsistent with each other. Reconstructing matrices with linear programming also allows enriching the solution by incorporating alternative or complementary information to the adjustment process. The article also includes numerical examples with small matrices to show the performance of the proposed method.