Eigenvalues of matrices with tree graphs

DOI10.1016/0024-3795(88)90146-2zbMath0686.05037OpenAlexW2081369986MaRDI QIDQ1262326

Pauline van den Driessche, Clark Jeffries

Publication date: 1988

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

Full work available at URL: http://hdl.handle.net/1828/1674

zbMATH Keywords

qualitative matrix theorysigned digraphsign controllability

Mathematics Subject Classification ID

Controllability (93B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Linear ordinary differential equations and systems (34A30) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

Sign patterns that require real, nonreal or pure imaginary eigenvalues ⋮ Eigenvalues, stability, and color tests ⋮ Partly zero eigenvectors

Cites Work

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• Qualitative stability of linear systems
• Controllability, inertia, and stability for tridiagonal matrices
• Spectral multiplicity and splitting results for a class of qualitative matrices
• A Stability Theorem for a Class of Damped Dynamic Systems and some Applications
• On the Eigenvalues and Eigenvectors of a Class of Matrices

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