Normalizing biproportional methods

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.
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Contributor : Louis de Mesnard <>
Submitted on : Thursday, May 11, 2006 - 6:37:42 PM
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  • HAL Id : halshs-00068431, version 1



Louis de Mesnard. Normalizing biproportional methods. Annals of Regional Science, Springer Verlag (Germany), 2002, 36 (1), pp.139-144. ⟨halshs-00068431⟩



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