Nilpotent matrices and spectrally arbitrary sign patterns.
Pereira, Rajesh (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Pereira, Rajesh (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Vander Meulen, Kevin N., Van Tuyl, Adam (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Cavers, Michael S., Kim, In Jae, Shader, Bryan L., Vander Meulen, Kevin N. (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Arav, Marina, Hall, Frank, Li, Zhongshan, Kaphle, Krishna, Manzagol, Nilay (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Honghai Li, Jiongsheng Li (2009)
Czechoslovak Mathematical Journal
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A matrix whose entries come from the set is called a , or . A sign pattern is said to be potentially nilpotent if it has a nilpotent realization. In this paper, the characterization problem for some potentially nilpotent double star sign patterns is discussed. A class of double star sign patterns, denoted by , is introduced. We determine all potentially nilpotent sign patterns in and , and prove that one sign pattern in is potentially stable.
Ellison, Elisabeth M., Hogben, Leslie, Tsatsomeros, Michael J. (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Berman, Abraham, Catral, Minerva, Dealba, Luz Maria, Elhashash, Abed, Hall, Frank J., Hogben, Leslie, Kim, In-Jae, Olesky, Dale D., Tarazaga, Pablo, Tsatsomeros, Michael J., van den Driessche, Pauline (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Kokol Bukovšek, Damjana, Košir, Tomaž, Novak, Nika, Oblak, Polona (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Cavers, Michael S., Vander Meulen, Kevin N. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Deaett, Louis, Olesky, Dale D., Van Den Driessche, Pauline (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Johnson, Charles R., da Graça Marques, Maria (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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