A SAS Macro for Implementing the Generalized RAS Algorithm for Constraining Matrices of Mixed Sign

Coleman, Charles (2016): A SAS Macro for Implementing the Generalized RAS Algorithm for Constraining Matrices of Mixed Sign.

Abstract

The problem of constraining matrices of mixed sign to controls of possibly mixed sign arises in input-output matrices in economics and net migration in demography. The recently developed Generalized RAS (GRAS) algorithm is presented to solve these problems. The GRAS algorithm produces a unique solution that minimizes an entropy-like function. The algorithm is applied to a well-known example and compared to the solution originally obtained using a generalization of the Akers-Siegel procedure.

• Item Type: MPRA Paper
• Language: English
• Keywords: matrix scaling; matrix raking; matrix balancing; mixed signs; GRAS; SAS; plus-minus problem; migration; GRAS
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C67 - Input-Output Models; C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology ; Computer Programs > C88 - Other Computer Software; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D57 - Input-Output Tables and Analysis; J - Labor and Demographic Economics > J1 - Demographic Economics > J19 - Other; R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R15 - Econometric and Input-Output Models ; Other Models

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