Normalizing biproportional methods

Louis de Mesnard

The Annals of Regional Science, 2002, vol. 36, issue 1, 139-144

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.

JEL-codes: C63 C67 D57 (search for similar items in EconPapers)
Date: 2002-04-09
Note: Received: June 2001/Accepted: September 2001
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