Potentially nilpotent patterns and the nilpotent-Jacobian method
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Publication:417538
DOI10.1016/j.laa.2011.05.017zbMath1244.15019arXiv1010.0018OpenAlexW2963725839MaRDI QIDQ417538
Adam Van Tuyl, Kevin N. Vander Meulen, Hannah Bergsma
Publication date: 14 May 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0018
sign pattern matrixnilpotent indexpotentially nilpotentnilpotent-Jacobian methodspectrally arbitrary
Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Connectivity (05C40) Sign pattern matrices (15B35)
Related Items (6)
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph ⋮ Counterexamples on spectra of sign patterns ⋮ The nilpotent-centralizer method for spectrally arbitrary patterns ⋮ A proof of the \(T_n\) conjecture: Centralizers, Jacobians and spectrally arbitrary sign patterns ⋮ Algebraic conditions and the sparsity of spectrally arbitrary patterns ⋮ Unnamed Item
Cites Work
- Allow problems concerning spectral properties of sign pattern matrices: a survey
- Low rank perturbations and the spectrum of a tridiagonal sign pattern.
- Spectrally and inertially arbitrary sign patterns
- Spectrally arbitrary star sign patterns
- Spectrally arbitrary patterns
- Complex spectrally arbitrary zero–nonzero patterns
- On potentially nilpotent double star sign patterns
- ON NILPOTENCE INDICES OF SIGN PATTERNS
- Inertia sets of symmetric 2-generalized star sign patterns
- Nilpotent matrices and spectrally arbitrary sign patterns
- Minimal Spectrally Arbitrary Sign Patterns
- On determining minimal spectrally arbitrary patterns
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