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Inside the D-stable matrices

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Publication:594161
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DOI10.1016/0024-3795(84)90129-0zbMath0525.15008OpenAlexW2028683673MaRDI QIDQ594161

Bryan E. Cain

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90129-0


zbMATH Keywords

characterizationinterior of the set of all D-stable matrices


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)


Related Items (4)

The interior and closure of strongly stable matrices ⋮ New sufficient criteria for Schur D‐stability of interval matrices ⋮ Stronger-than-Lyapunov notions of matrix stability, or how ``flowers help solve problems in mathematical ecology ⋮ Unifying Matrix Stability Concepts with a View to Applications



Cites Work

  • Concerning the interior of the D-stable matrices
  • A geometric study of the D-stability problem
  • A characterization of the nonlinearity of D-stability
  • Three types of matrix stability
  • The inertia of diagonal multiples of \(3\times 3\) real matrices
  • Real, 3 x 3, D-stable matrices
  • Positive diagonal solutions to the Lyapunov equations


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