Geodesic
Nilpotent matrices and spectrally arbitrary sign patterns
The electronic journal of linear algebra, Tome 16 (2007), pp. 232-236.

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

Summary: It is shown that all potentially nilpotent full sign patterns are spectrally arbitrary. A related result for sign patterns all of whose zeros lie on the main diagonal is also given.
Classification : 15A18
Keywords: nilpotent matrices, potentially nilpotent sign patterns, spectrally arbitrary sign patterns 
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     author = {Pereira, Rajesh},
     title = {Nilpotent matrices and spectrally arbitrary sign patterns},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2007__16__a17/}
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Pereira, Rajesh. Nilpotent matrices and spectrally arbitrary sign patterns. The electronic journal of linear algebra, Tome 16 (2007), pp. 232-236. http://geodesic.mathdoc.fr/item/ELA_2007__16__a17/