Normalizing biproportional methods

Louis de Mesnard

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Abstract: Biproportional methods are used to update matrices: the projection of a matrix Z to give it the column and row sums of another matrix is R Z S, where R and S are diagonal and secure the constraints of the problem (R and S have no signification at all because they are not identified). However, normalizing R or S generates important mathematical difficulties: it amounts to put constraints on Lagrange multipliers, non negativity (and so the existence of the solution) is not guaranteed at equilibrium or along the path to equilibrium.

Keywords: mathematical economics; community development; matrices (search for similar items in EconPapers)
Date: 2002
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Published in Annals of Regional Science, 2002, 36 (1), pp.139-144

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00068431

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