Constructions for potentially stable sign patterns

DOI10.1016/J.LAA.2011.08.011zbMath1245.15030OpenAlexW2092933931MaRDI QIDQ417543

D. Dale Olesky, Pauline van den Driessche, D. A. Grundy

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.011

zbMATH Keywords

digrapheigenvaluessign patternpotential stabilityirreducible sign patternnested sequence of principal minors

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Sign pattern matrices (15B35)

Related Items (8)

Stability of control networks in autonomous homeostatic regulation of stem cell lineages ⋮ Nested sequences of principal minors and potential stability ⋮ Sign Pattern Matrices ⋮ Minimum number of non-zero-entries in a stable matrix exhibiting Turing instability ⋮ Minimum number of non-zero-entries in a \(7 \times 7\) stable matrix ⋮ Polynomial stability and potentially stable patterns ⋮ Unnamed Item ⋮ Sign stability for switched linear systems and its application in flight control

Cites Work

• The potentially stable tree sign patterns for dimensions less than five
• Positive feedback may sometimes promote stability
• Nested sequences of principal minors and potential stability
• Generating potentially nilpotent full sign patterns
• Minimal Spectrally Arbitrary Sign Patterns
• The Correspondence Principle: A Macroeconomic Application
• Qualitative Problems in Matrix Theory
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