Geodesic
On determining minimal spectrally arbitrary patterns
The electronic journal of linear algebra, Tome 13 (2005), pp. 240-248.

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

Summary: A new family of minimal spectrally arbitrary patterns is presented which allow for arbitrary spectrum by using the Nilpotent-Jacobian method introduced in [J.H. Drew, C.R. Johnson, D.D. Olesky, and P. van den Driessche. Spectrally arbitrary patterns.Lin. Alg. and Appl. 308:121- 137, 2000]. The novel approach here is the use of the Intermediate Value Theorem to avoid finding an explicit nilpotent realization of the new minimal spectrally arbitrary patterns.
Classification : 15A18, 15A29, 05C50
Keywords: sign pattern, spectrum, nilpotent matrix 
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     title = {On determining minimal spectrally arbitrary patterns},
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Cavers, Michael S.; Kim, In Jae; Shader, Bryan L.; Vander Meulen, Kevin N. On determining minimal spectrally arbitrary patterns. The electronic journal of linear algebra, Tome 13 (2005), pp. 240-248. http://geodesic.mathdoc.fr/item/ELA_2005__13__a8/