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A distributed block approach to solving near-block-diagonal systems with an application to a large macroeconometric model

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Abstract

This paper demonstrates two advantages of well-known block variants of standard algorithms for solving nonlinear systems. First, if a problem is sufficiently close to block-diagonal, block algorithms may offer significant speed advantages on a single processor. Second, block Jacobi algorithms can easily and efficiently be distributed across multiple processors. We illustrate the use of a distributed block Jacobi algorithm to solve a large nonlinear macroeconometric model. For our application, on a four-processor Unix server, the algorithm achieves a speedup factor of more than 6 over the standard algorithm on a single processor. A speedup factor of about 2 is due to the added efficiency of the block algorithm on a single processor, and the remaining factor of 3 results from distributing the work over four processors.

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  • Jon Faust & Ralph W. Tryon, 1994. "A distributed block approach to solving near-block-diagonal systems with an application to a large macroeconometric model," International Finance Discussion Papers 488, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgif:488
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    1. Edison, Hali J. & Marquez, Jaime R. & Tryon, Ralph W., 1987. "The structure and properties of the Federal Reserve Board Multicountry Model," Economic Modelling, Elsevier, vol. 4(2), pages 115-315, April.
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    1. Jon Faust & Ralph W. Tryon, 1995. "Block distributed methods for solving multi-country econometric models," International Finance Discussion Papers 516, Board of Governors of the Federal Reserve System (U.S.).

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    Econometric models; time series analysis;

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