The potentially stable tree sign patterns for dimensions less than five

DOI10.1016/0024-3795(89)90002-5zbMath0723.05047OpenAlexW2021501770MaRDI QIDQ757393

Tracy A. Summers, Charles R. Johnson

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90002-5

zbMATH Keywords

characterizing potentially stable sign-pattern matricestree patterns

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (16)

Nested sequences of principal minors and potential stability ⋮ Sign Pattern Matrices ⋮ Path sign patterns of order \(n\geq 5\) do not require \(\mathbb{H}_n\) ⋮ Minimum number of non-zero-entries in a \(7 \times 7\) stable matrix ⋮ Constructions for potentially stable sign patterns ⋮ Polynomial stability and potentially stable patterns ⋮ Spectrally arbitrary patterns ⋮ Inertially arbitrary patterns ⋮ On the potential stability of star sign pattern matrices ⋮ On potentially nilpotent double star sign patterns ⋮ Qualitative convergence of matrices ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectrally arbitrary zero–nonzero patterns of order 4 ⋮ Inertially arbitrary (\(2r-1\))-diagonal sign patterns

Cites Work

• Positive feedback may sometimes promote stability
• The inertia of a product of two hermitian matrices
• A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
• Matrix Analysis
• Some Sign Patterns that Preclude Matrix Stability
• When is a Matrix Sign Stable?
• The Correspondence Principle: A Macroeconomic Application

This page was built for publication: The potentially stable tree sign patterns for dimensions less than five