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On the stability of \(P\)-matrices

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Publication:996217
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DOI10.1016/j.laa.2007.03.034zbMath1140.15022OpenAlexW2156657030MaRDI QIDQ996217

Daron Acemoglu, A. Kevin Tang, Asuman Ozdaglar, Alp Simsek

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.03.034


zbMATH Keywords

symmetryP-matricesdiagonal dominancyPositive stability


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items (4)

On the positive stability of \(P^2\)-matrices ⋮ On a criterion of \(D\)-stability for \(P\)-matrices ⋮ Some new results related to -stability ⋮ Structural characterization of oscillations in brain networks with rate dynamics



Cites Work

  • Norms and exclusion theorems
  • Recent directions in matrix stability
  • Not all GKK \(\tau\)-matrices are stable
  • On complex eigenvalues of M and P matrices
  • Matrix Analysis
  • Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
  • A class of positive stable matrices
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