Spectrally arbitrary patterns: Reducibility and the \(2n\) conjecture for \(n = 5\)

DOI10.1016/j.laa.2006.12.018zbMath1118.15007OpenAlexW2118264190WikidataQ122972300 ScholiaQ122972300MaRDI QIDQ880033

Leslie Hogben, Irvin Roy Hentzel, Judith Joanne Mcdonald, Luz Maria DeAlba, Rana Mikkelson, Kevin N. Vander Meulen, Olga Pryporova, Bryan L. Shader

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.018

zbMATH Keywords

sign patternpotentially nilpotentirreducible sign patternnonzero patternreducible sign patternspectrally arbitrary sign pattern

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (14)

Several spectrally arbitrary ray patterns ⋮ Sign Pattern Matrices ⋮ Counterexamples on spectra of sign patterns ⋮ Critical sets of refined inertias for irreducible zero-nonzero patterns of orders 2 and 3 ⋮ Spectrally arbitrary ray patterns ⋮ Algebraic conditions and the sparsity of spectrally arbitrary patterns ⋮ Spectrally arbitrary patterns over rings with unity ⋮ On reducible matrix patterns ⋮ Sparse inertially arbitrary patterns ⋮ Unnamed Item ⋮ Critical sets of inertias for matrix patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ Complex spectrally arbitrary zero–nonzero patterns ⋮ Spectrally arbitrary patterns over finite fields

Cites Work

• Unnamed Item
• Parallel concepts in graph theory
• Spectrally and inertially arbitrary sign patterns
• Spectrally arbitrary patterns
• Spectrally arbitrary zero–nonzero patterns of order 4
• Minimal Spectrally Arbitrary Sign Patterns

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