Conditions for unique solvability of the matrix equation \(AX + X^TB = C\)

DOI10.1134/S1064562410010187zbMath1208.15013OpenAlexW2031995972MaRDI QIDQ606502

Khakim D. Ikramov

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410010187

zbMATH Keywords

matrix equationscanonical formmatrix pencilsWeierstrass theorem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrix pencils (15A22)

Related Items (7)

Computational Methods for Linear Matrix Equations ⋮ Numerical algorithm for solving the matrix equation \(AX+X^\ast B=C\) ⋮ Numerical solution of the matrix equations AX + X T B = C and AX + X*B = C in the self-adjoint case ⋮ On the unique solvability of the matrix equation \(AX + X^{T}B = C\) in the singular case ⋮ Numerical algorithms for solving matrix equations AX + BX T = C and AX + BX* = C ⋮ The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution ⋮ Projection methods for large-scale T-Sylvester equations

Cites Work

• The solution to matrix equation \(AX+X^TC=B\)
• Unnamed Item
• Unnamed Item

This page was built for publication: Conditions for unique solvability of the matrix equation \(AX + X^TB = C\)