On determining minimal spectrally arbitrary patterns
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Publication:5469417
DOI10.13001/1081-3810.1163zbMath1097.15009arXivmath/0508207OpenAlexW2168756291MaRDI QIDQ5469417
In-Jae Kim, Kevin N. Vander Meulen, Bryan L. Shader, Michael S. Cavers
Publication date: 18 May 2006
Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0508207
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)
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Several spectrally arbitrary ray patterns ⋮ Sign Pattern Matrices ⋮ Inertially arbitrary sign patterns with no nilpotent realization ⋮ Counterexamples on spectra of sign patterns ⋮ The nilpotent-centralizer method for spectrally arbitrary patterns ⋮ Potentially nilpotent patterns and the nilpotent-Jacobian method ⋮ Integrally normalizable matrices and zero-nonzero patterns ⋮ Spectrally arbitrary ray patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ Inertias of zero–nonzero patterns ⋮ The minimum number of nonzeros in a spectrally arbitrary ray pattern
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