Geodesic
Nonnegative matrices with prescribed elementary divisors
The electronic journal of linear algebra, Tome 17 (2008), pp. 287-303.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers $\Lambda = {\lambda 1 , . . . , \lambda n }$, of certain structured nonnegative matrices with spectrum $\Lambda $and with any legitimately prescribed elementary divisors.
Classification : 15A18, 15A51
Keywords: inverse elementary divisor problem, nonnegative matrices 
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     title = {Nonnegative matrices with prescribed elementary divisors},
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Soto, Ricardo L.; Ccapa, Javier. Nonnegative matrices with prescribed elementary divisors. The electronic journal of linear algebra, Tome 17 (2008), pp. 287-303. http://geodesic.mathdoc.fr/item/ELA_2008__17__a24/