Displaying similar documents to “Generating potentially nilpotent full sign patterns.”

On potentially nilpotent double star sign patterns

Honghai Li, Jiongsheng Li (2009)

Czechoslovak Mathematical Journal

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A matrix 𝒜 whose entries come from the set { + , - , 0 } 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 𝒟 S S P ( m , 2 ) , is introduced. We determine all potentially nilpotent sign patterns in 𝒟 S S P ( 3 , 2 ) and 𝒟 S S P ( 5 , 2 ) , and prove that one sign pattern in 𝒟 S S P ( 3 , 2 ) is potentially stable.

Sign patterns that allow eventual positivity.

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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