The matrix equations \(AX+BX^T=C\) and \(AX+BX^\ast=C\)

DOI10.1134/S1064562413020270zbMath1269.15015OpenAlexW2119101713MaRDI QIDQ2375967

Yu. O. Vorontsov, Khakim D. Ikramov

Publication date: 25 June 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562413020270

zbMATH Keywords

eigenvaluessolvabilitymatrix equationsleast squares methodmatrix pencilBartels-Stewart method

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Cites Work

• The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution
• Conditions for unique solvability of the matrix equation AX + X*B = C

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