Geodesic
Generating potentially nilpotent full sign patterns
The electronic journal of linear algebra, Tome 18 (2009), pp. 162-175.

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

Summary: A sign pattern is a matrix with entries in +, - , 0. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns. Such patterns are spectrally arbitrary. These techniques can also be used to construct potentially nilpotent sign patterns that are not full, as well as potentially stable sign patterns.
Classification : 15A18, 05C50
Keywords: potentially nilpotent, spectrally arbitrary, inertia, potentially stable, sign pattern 
@article{ELA_2009__18__a44,
     author = {Kim, In-Jae and Olesky, Dale D. and Shader, Bryan L. and Den Driessche, Pauline Van and Van Der Holst, Hein and Vander Meulen, Kevin N.},
     title = {Generating potentially nilpotent full sign patterns},
     journal = {The electronic journal of linear algebra},
     pages = {162--175},
     publisher = {mathdoc},
     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a44/}
}
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AU  - Olesky, Dale D.
AU  - Shader, Bryan L.
AU  - Den Driessche, Pauline Van
AU  - Van Der Holst, Hein
AU  - Vander Meulen, Kevin N.
TI  - Generating potentially nilpotent full sign patterns
JO  - The electronic journal of linear algebra
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EP  - 175
VL  - 18
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2009__18__a44/
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%A Shader, Bryan L.
%A Den Driessche, Pauline Van
%A Van Der Holst, Hein
%A Vander Meulen, Kevin N.
%T Generating potentially nilpotent full sign patterns
%J The electronic journal of linear algebra
%D 2009
%P 162-175
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%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2009__18__a44/
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%F ELA_2009__18__a44
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Den Driessche, Pauline Van; Van Der Holst, Hein; Vander Meulen, Kevin N. Generating potentially nilpotent full sign patterns. The electronic journal of linear algebra, Tome 18 (2009), pp. 162-175. http://geodesic.mathdoc.fr/item/ELA_2009__18__a44/