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A platform for research: civil engineering, architecture and urbanism
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.
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.
Normalizing biproportional methods
de Mesnard, Louis (author)
2002
Article (Journal)
English
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Origin–destination table disaggregation using biproportional least squares estimation
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Origin–destination table disaggregation using biproportional least squares estimation
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On the idea of ex ante and ex post normalization of biproportional methods
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