biproportional

English

Etymology

bi- +‎ proportional

Adjective

biproportional (not comparable)

1. (mathematics) Providing two-way proportionality.
   • 2016, Jean Brossard, Christophe Leuridan, “Iterated proportional fitting procedure and infinite products of stochastic matrices”, in arXiv‎^[1]:

     Given a rectangular non-negative matrix $X_{0}$ and two positive marginals $a$ and $b$, the algorithm generates a sequence of matrices $(X_{n})$ starting at $X_{0}$, supposed to converge to a biproportional fitting, that is, to a matrix $Y$ whose marginals are $a$ and $b$ and of the form $Y=D_{1}X_{0}D_{2}$, for some diagonal matrices $D_{1}$ and $D_{2}$ with positive diagonal entries. When a biproportional fitting does exist, it is unique and the sequence $(X_{n})$ converges to it at an at least geometric rate.