Unicity of biproportion - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Matrix Analysis and Applications Année : 1994

Unicity of biproportion

Louis de Mesnard

Résumé

The biproportion of S on margins of M is called the intern composition law, K: (S,M) -> X = K(S,M) / X = A S B. A and B are diagonal matrices, algorithmically computed, providing the respect of margins of M. Biproportion is an empirical concept. In this paper, the author shows that any algorithm used to compute a biproportion leads to the me result. Then the concept is unique and no longer empirical. Some special properties are also indicated.
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Dates et versions

hal-00383947 , version 1 (13-05-2009)

Identifiants

  • HAL Id : hal-00383947 , version 1

Citer

Louis de Mesnard. Unicity of biproportion. SIAM Journal on Matrix Analysis and Applications, 1994, 15 (2), pp.490-495. ⟨hal-00383947⟩
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