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Convergence and Related Properties for a Modified Biproportional Matrix Problem

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  • S M Macgill

    (School of Geography, University of Leeds, Leeds LS2 9JT, England)

Abstract

This paper establishes the convergence of iterative routines for matrix balancing in which some row and some column totals must equal prespecified positive numbers. This balancing procedure is called a modified biproportional problem. Applications of the procedure are cited, various theoretical properties discussed, and its relationship with the full biproportional problem, treated in an earlier paper (Macgill, 1977a), is noted.

Suggested Citation

  • S M Macgill, 1979. "Convergence and Related Properties for a Modified Biproportional Matrix Problem," Environment and Planning A, , vol. 11(5), pages 499-506, May.
    • Handle: RePEc:sae:envira:v:11:y:1979:i:5:p:499-506
    DOI: 10.1068/a110499
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    Cited by:

    1. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.

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