Matrix Diagonal Stability and Its Implications

DOI10.1137/0604038zbMath0547.15009OpenAlexW2044065944MaRDI QIDQ3338386

Daniel Hershkowitz, Abraham Berman

Publication date: 1983

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0604038

zbMATH Keywords

treeoscillationforestP-matrixtridiagonalsemipositivenondirected graphreal spectratotally nonnegativediagonally stableomega matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (32)

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Cites Work

• Unnamed Item
• Weak interlacing properties of totally positive matrices
• Treediagonal matrices and their inverses
• Global stability in two species interactions
• Three types of matrix stability
• Classes of stable and semipositive matrices
• \(\mathcal A\mathcal L\wp\mathcal S\): Matrices with nonpositive off-diagonal entries
• Some generalizations of positive definiteness and monotonicity
• A semigroup of totally nonnegative matrices
• On complex eigenvalues of M and P matrices
• The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity
• Positive diagonal solutions to the Lyapunov equations
• A Class of Matrices Connected with Volterra Prey-Predator Equations
• Applications of Partial Orderings to the Study of Positive Definiteness, Monotonicity, and Convergence of Iterative Methods for Linear Systems
• Probleme General de la Stabilite du Mouvement. (AM-17)

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