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A Methods Note on the Gauss-Seidel Algorithm for Solving Econometric Models

Author

Listed:
  • Heien, Dale
  • Mathews, Jim
  • Womack, Abner W.

Abstract

A particular numerical analytical technique for solving systems of simultaneous equations which offers several advantages to the user over other numerical techniques is discussed. The Gauss-Seidel algorithm is simply an iterative technique which requires no derivatives, matrix inversion, eigenvalue computation, or any other sophisticated numerical methodology. While the technique has been used successfully by a few large scale model builders and by the authors for several commodity models, the experience gained in the use of the technique has not been generally disseminated. Obtaining convergence with such an iterative technique is critically dependent on a number of factors which are taken up in some detail by the authors.

Suggested Citation

  • Heien, Dale & Mathews, Jim & Womack, Abner W., 1973. "A Methods Note on the Gauss-Seidel Algorithm for Solving Econometric Models," Journal of Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, vol. 25(3), pages 1-11, July.
    • Handle: RePEc:ags:uersja:147150
    DOI: 10.22004/ag.econ.147150
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    Cited by:

    1. Smyth, Donald Craig, 1985. "Economic impacts of the Farmer-Owned Reserve program on the U.S. corn-livestock sector," ISU General Staff Papers 1985010108000013104, Iowa State University, Department of Economics.
    2. Brandt, Jon A. & French, Ben C., 1981. "An Analysis of Economic Relationships and Projected Adjustments in the U.S. Processing Tomato Industry," Research Reports 251943, University of California, Davis, Giannini Foundation.
    3. Michalski, Raphael Joseph, 1977. "An application of consistent statistical estimation to a nonlinear macroeconomic policy model," ISU General Staff Papers 197701010800007086, Iowa State University, Department of Economics.

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