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Explicit solution of Sylvester and Lyapunov equations

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Publication:1121344
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DOI10.1016/0378-4754(89)90163-8zbMath0674.15006OpenAlexW2069184781MaRDI QIDQ1121344

Pierre Borne, Frédéric Rotella

Publication date: 1989

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(89)90163-8


zbMATH Keywords

numerical exampleLyapunov equationKronecker productSylvester matrix equation


Mathematics Subject Classification ID

Matrix equations and identities (15A24)


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The linear bi-spatial tensor equation \(\varphi_{ij}A^iXB^j=C\) ⋮ Improvements on derivatives of matrices ⋮ A new type of recurrent neural networks for real-time solution of Lyapunov equation with time-varying coefficient matrices ⋮ The mean gauges in bimetric relativity



Cites Work

  • Matrix WA + AtW and its applications
  • A Hessenberg-Schur method for the problem AX + XB= C
  • Kronecker products and matrix calculus in system theory
  • Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
  • A Note on Kronecker Matrix Products and Matrix Equation Systems
  • Matrix Differential Equations and Kronecker Products
  • Unnamed Item
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