A formula for the solution of the matrix equation AX+XB=C

DOI10.1080/0020739890200414zbMath0689.15003OpenAlexW2015884339MaRDI QIDQ3031104

A. J. Ward

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/0020739890200414

zbMATH Keywords

Jordan canonical formmatrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)

Related Items (3)

A general analysis of Sylvester's matrix equation ⋮ A link between the matrix equation AX –XB = C and the matrix quadratic ⋮ A link between the matrix equation AX –XB = C and the matrix quadratic

Cites Work

• Unnamed Item
• Controllability, observability and the solution of AX-XB=C
• An Algorithmic Derivation of the Jordan Canonical Form
• The numerical solution of<tex>X = A_{1}X + XA_{2} + D, X(0) = C</tex>
• Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
• More<tex>A_{1}E+EA_{2}=-D</tex>and<tex>Ẋ=A_{1}X+XA_{2}+D,X(0)=C</tex>
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

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