Stability of acyclic matrices

DOI10.1016/0024-3795(86)90238-7zbMath0588.15012OpenAlexW1971698672MaRDI QIDQ1073134

Daniel Hershkowitz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90238-7

zbMATH Keywords

acyclic matrixadditive D-stablenondirect graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Lyapunov diagonal semistability of acyclic matrices, Recent directions in matrix stability, Factoring matrices with a tree-structured sparsity pattern, Nonsingularity criteria for general combinatorially symmetric matrices

Cites Work

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• Characterization of acyclic D-stable matrices
• Three types of matrix stability
• A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
• Matrix Diagonal Stability and Its Implications
• Real, 3 x 3, D-stable matrices
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• Stability of Multiple Markets: The Hicks Conditions