Counterexamples on spectra of sign patterns

DOI10.1090/proc/14041zbMath1393.15043arXiv1612.05818OpenAlexW2582600862WikidataQ124818535 ScholiaQ124818535MaRDI QIDQ4577145

Yaroslav N. Shitov

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05818

zbMATH Keywords

eigenvaluesmatrix theorysign pattern

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Sign pattern matrices (15B35)

Related Items (1)

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Cites Work

• The nilpotent-centralizer method for spectrally arbitrary patterns
• Potentially nilpotent patterns and the nilpotent-Jacobian method
• A proof of the \(T_n\) conjecture: Centralizers, Jacobians and spectrally arbitrary sign patterns
• Spectrally arbitrary pattern extensions
• Spectrally arbitrary patterns: Reducibility and the \(2n\) conjecture for \(n = 5\)
• Allow problems concerning spectral properties of sign pattern matrices: a survey
• Spectrally and inertially arbitrary sign patterns
• Spectrally arbitrary star sign patterns
• Spectrally arbitrary patterns
• Complex spectrally arbitrary zero–nonzero patterns
• Refined inertially and spectrally arbitrary zero-nonzero patterns
• Allow problems concerning spectral properties of patterns
• Generating potentially nilpotent full sign patterns
• Spectrally arbitrary zero–nonzero patterns of order 4
• Nilpotent matrices and spectrally arbitrary sign patterns
• Minimal Spectrally Arbitrary Sign Patterns
• On the Spectra of Striped Sign Patterns
• On determining minimal spectrally arbitrary patterns

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