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.
Document type :
Journal articles
Complete list of metadatas

https://halshs.archives-ouvertes.fr/halshs-00068431
Contributor : Louis de Mesnard <>
Submitted on : Thursday, May 11, 2006 - 6:37:42 PM
Last modification on : Friday, June 8, 2018 - 2:50:08 PM

Identifiers

  • HAL Id : halshs-00068431, version 1

Collections

Citation

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

Share

Metrics

Record views

167