Numerical algorithm for solving the matrix equation \(AX+X^\ast B=C\)

DOI10.3103/S0278641913010068zbMath1272.65036MaRDI QIDQ357912

Yu. O. Vorontsov

Publication date: 15 August 2013

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

numerical exampleeigenvaluematrix equationmatrix pencilcirculantQZ-algorithm

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (3)

Numerical solution of the matrix equations AX + X T B = C and AX + X*B = C in the self-adjoint case ⋮ Normality conditions for the matrix operator \(X\to AX+X^\ast B\) ⋮ Numerical algorithms for solving matrix equations AX + BX T = C and AX + BX* = C

Cites Work

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• Conditions for unique solvability of the matrix equation \(AX + X^TB = C\)
• On the unique solvability of the matrix equation \(AX + X^{T}B = C\) in the singular case
• Conditions for unique solvability of the matrix equation AX + X*B = C
• A numerical algorithm for solving the matrix equation AX + X T B = C 1

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