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Set inertia-preserving matrices∗ †

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Publication:4376557
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DOI10.1080/03081089708818523zbMath0891.15005OpenAlexW2004406468MaRDI QIDQ4376557

Abraham Berman, Dafna Shasha

Publication date: 30 June 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818523


zbMATH Keywords

stable matricesinertia-preserving matrices


Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items (1)

Characterizations of classes of stable matrices.




Cites Work

  • Some theorems on the inertia of general matrices
  • Recent directions in matrix stability
  • Inertia-Preserving Matrices
  • A Generalization of a Theorem of Lyapunov
  • Positive diagonal solutions to the Lyapunov equations
  • Strongly Inertia-Preserving Matrices




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