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Article dans une revue Annals of Regional Science Année : 2002

Normalizing biproportional methods

Résumé

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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Dates et versions

halshs-00068431, version 1 (11-05-2006)

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  • HAL Id : halshs-00068431 , version 1

Citer

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