Sets of refined inertias of zero-nonzero patterns
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Publication:730627
DOI10.1016/j.laa.2016.11.040zbMath1352.15035OpenAlexW2559072658MaRDI QIDQ730627
Adam H. Berliner, D. Dale Olesky, Pauline van den Driessche
Publication date: 28 December 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.040
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Sign pattern matrices (15B35)
Related Items (8)
Unnamed Item ⋮ Zero-nonzero tree patterns that allow Sn∗ ⋮ Polynomial stability and potentially stable patterns ⋮ Stability of sign patterns from a system of second order ODEs ⋮ Sign pattern matrices that allow inertia \(\mathbb{S}_n\) ⋮ Zero-nonzero patterns of order \(n\geq 4\) do not require \(\mathbb{H}_n^\ast\) ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Characterization of star sign patterns that require \(\mathbb{H}_n\)
- The nilpotent-centralizer method for spectrally arbitrary patterns
- Sign patterns that require or allow particular refined inertias
- Sign patterns that require \(\mathbb{H}_n\) exist for each \(n\geq 4\)
- Nested sequences of principal minors and potential stability
- Spectrally and inertially arbitrary sign patterns
- Spectrally arbitrary patterns
- A note on sign patterns of order 3 that require particular refined inertias
- Generating potentially nilpotent full sign patterns
- Spectrally arbitrary zero–nonzero patterns of order 4
- When is a Matrix Sign Stable?
- Minimal Spectrally Arbitrary Sign Patterns
- Techniques for identifying inertially arbitrary patterns
- Refined inertias of tree sign-patterns
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