Numerical solution of the matrix equations AX + X T B = C and AX + X*B = C in the self-adjoint case

DOI10.1134/S0965542514020146zbMath1313.65096OpenAlexW2433811582MaRDI QIDQ2940364

Yu. O. Vorontsov, Khakim D. Ikramov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.rssi.ru/cgi-perl/search.pl?type=abstract&name=commat&number=2&year=14&page=191

zbMATH Keywords

algorithmsnumerical resultsself-adjoint operatormatrix equationssemilinear operator

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (1)

Numerical solution of the matrix equation X — $A\bar XB$ = C in the self-adjoint case

Cites Work

• Numerical algorithm for solving the matrix equation \(AX+X^\ast B=C\)
• Self-conjugacy conditions for semilinear matrix equations
• Linear matrix equations of the Sylvester type in the self-conjugate case
• 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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