Conditions for unique solvability of the matrix equation AX + X*B = C

DOI10.1134/S0965542512050156zbMath1274.15033OpenAlexW2041627943MaRDI QIDQ2836669

Yu. O. Vorontsov, Khakim D. Ikramov

Publication date: 3 July 2013

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=5&year=12&page=665

zbMATH Keywords

eigenvaluesmatrix pencilSylvester matrix equationssingular pencilequivalent transformKronecker canonic formWeierstrass canonic form

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (4)

The matrix equations \(AX+BX^T=C\) and \(AX+BX^\ast=C\) ⋮ 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 ⋮ Numerical algorithms for solving matrix equations AX + BX T = C and AX + BX* = C

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