UNICITY OF BIPROPORTION

Authors
DEMESNARD L
Citation
L. Demesnard, UNICITY OF BIPROPORTION, SIAM journal on matrix analysis and applications, 15(2), 1994, pp. 490-495
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on matrix analysis and applications → ACNP
ISSN journal
08954798
Volume
15
Issue
2
Year of publication
1994
Pages
490 - 495
Database
ISI
SICI code
0895-4798(1994)15:2<490:UOB>2.0.ZU;2-Q
Abstract
The biproportion of S on margins of M is called the intern composition law, K. (S, M) bar arrow pointing right X = K(S, M)/X = ASB. 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 le ads to the same result. Then the concept is unique and no longer empir ical. Some special properties are also indicated.