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

DOI10.1134/S096554251403018XzbMath1313.65097OpenAlexW2470448404MaRDI QIDQ2940377

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.ru/cgi-perl/search.pl?type=abstract&name=commat&number=3&year=14&page=379

zbMATH Keywords

algorithmnumerical resultsself-adjoint operatormatrix equationssemilinear operator

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Cites Work

• Self-conjugacy conditions for matrix equations of the Stein type
• Toward solution of matrix equation \(X=Af(X)B+C\)
• The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution
• Numerical solution of Sylvester matrix equations in the self-adjoint case
• Numerical solution of matrix equations of the form X + AX T B = C
• Numerical solution of the matrix equations AX + X T B = C and AX + X*B = C in the self-adjoint case
• Matrix Analysis
• Modifying a numerical algorithm for solving the matrix equation X + AX T B = C

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