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A SAS® Macro for the Generalized RAS Algorithm

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  • Coleman, Charles

Abstract

Demographers and economists frequently encounter the problem of constraining matrices of mixed sign to controls of possibly mixed sign. 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.

Suggested Citation

  • Coleman, Charles, 2016. "A SAS® Macro for the Generalized RAS Algorithm," MPRA Paper 77651, University Library of Munich, Germany, revised 19 Mar 2017.
    • Handle: RePEc:pra:mprapa:77651
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    References listed on IDEAS

    as
    1. Manfred Lenzen & Blanca Gallego & Richard Wood, 2009. "Matrix Balancing Under Conflicting Information," Economic Systems Research, Taylor & Francis Journals, vol. 21(1), pages 23-44.
    2. Manfred Lenzen & Daniel D. Moran & Arne Geschke & Keiichiro Kanemoto, 2014. "A Non-Sign-Preserving Ras Variant," Economic Systems Research, Taylor & Francis Journals, vol. 26(2), pages 197-208, June.
    3. Michael H. Schneider & Stavros A. Zenios, 1990. "A Comparative Study of Algorithms for Matrix Balancing," Operations Research, INFORMS, vol. 38(3), pages 439-455, June.
    4. Theo Junius & Jan Oosterhaven, 2003. "The Solution of Updating or Regionalizing a Matrix with both Positive and Negative Entries," Economic Systems Research, Taylor & Francis Journals, vol. 15(1), pages 87-96, March.
    5. Umed Temurshoev & Ronald E. Miller & Maaike C. Bouwmeester, 2013. "A Note On The Gras Method," Economic Systems Research, Taylor & Francis Journals, vol. 25(3), pages 361-367, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    matrix scaling; matrix raking; matrix balancing; mixed signs; GRAS; SAS; plus-minus problem; migration;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • J19 - Labor and Demographic Economics - - Demographic Economics - - - Other
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods

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