Spectrally arbitrary star sign patterns

DOI10.1016/j.laa.2004.11.021zbMath1072.15013OpenAlexW2124211023MaRDI QIDQ1779256

Gary MacGillivray, Ryan M. Tifenbach, Pauline van den Driessche

Publication date: 1 June 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.021

zbMATH Keywords

potentially stable sign patternstar sign patternspectrally arbitrary sign patterninertially arbitrary sign patternpotentially nilpotent sign pattern

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (20)

Several spectrally arbitrary ray patterns ⋮ Sign Pattern Matrices ⋮ Potentially nilpotent and spectrally arbitrary even cycle sign patterns ⋮ Inertially arbitrary sign patterns with no nilpotent realization ⋮ Counterexamples on spectra of sign patterns ⋮ Sign patterns allowing nilpotence of index 3 ⋮ The nilpotent-centralizer method for spectrally arbitrary patterns ⋮ Potentially nilpotent patterns and the nilpotent-Jacobian method ⋮ Spectrally arbitrary ray patterns ⋮ Spectrally arbitrary pattern extensions ⋮ Tree sign patterns that allow nilpotence of index 4 ⋮ On reducible matrix patterns ⋮ On potentially nilpotent double star sign patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ Unnamed Item ⋮ Inertias of zero–nonzero patterns ⋮ Spectrally arbitrary zero–nonzero patterns of order 4 ⋮ The minimum number of nonzeros in a spectrally arbitrary ray pattern ⋮ Complex spectrally arbitrary zero–nonzero patterns ⋮ Spectrally arbitrary patterns over finite fields

Cites Work

• Spectrally and inertially arbitrary sign patterns
• Inertia sets of two classes of symmetric sign patterns
• Spectrally arbitrary patterns
• Minimal Spectrally Arbitrary Sign Patterns
• On the Spectra of Striped Sign Patterns
• Sign pattern matrices that allow a nilpotent matrix
• On the potential stability of star sign pattern matrices

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