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A link between the matrix equation AX –XB = C and the matrix quadratic

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Publication:4299927
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DOI10.1080/0020739940250312zbMath0821.15010OpenAlexW1975423826MaRDI QIDQ4299927

A. J. Ward

Publication date: 12 July 1994

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739940250312


zbMATH Keywords

Lyapunov equationSylvester equationquadratic equationinvertible solution


Mathematics Subject Classification ID

Matrix equations and identities (15A24)




Cites Work

  • Unnamed Item
  • Controllability, observability and the solution of AX-XB=C
  • A formula for the solution of the matrix equation AX+XB=C
  • A general analysis of Sylvester's matrix equation
  • More<tex>A_{1}E+EA_{2}=-D</tex>and<tex>Ẋ=A_{1}X+XA_{2}+D,X(0)=C</tex>
  • A closed‐form formula for the inverse of thenivellateurin the solution of Sylvester's matrix equation
  • Matrix Quadratic Solutions
  • Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix


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