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On the Lyapunov and Stein equations

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Publication:860993
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DOI10.1016/j.laa.2006.07.025zbMath1104.93047OpenAlexW4206011855MaRDI QIDQ860993

Rita Simões, Fernando Conceição Silva

Publication date: 9 January 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.2006.07.025


zbMATH Keywords

Lyapunov equationStein equationInertia of matrices


Mathematics Subject Classification ID

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


Related Items

On the solutions of a class of tensor equations ⋮ Computational Methods for Linear Matrix Equations ⋮ Extending BiCG and BiCR methods to solve the Stein tensor equation ⋮ Thompson metric method for solving a class of nonlinear matrix equation ⋮ On the Lyapunov and Stein equations. II.



Cites Work

  • Some theorems on the inertia of general matrices
  • The inertia of a Hermitian matrix having prescribed complementary principal submatrices
  • Possible inertia combinations in the Stein and Lyapunov equations
  • Inertia of the Stein transformation with respect to some nonderogatory matrices
  • Inertia theorems for matrices: the semidefinite case
  • A Generalization of a Theorem of Lyapunov
  • On the eigenvalues of the matrix
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