Resultants and the Solution of $AX - XB = - C$

DOI10.1137/0123012zbMath0222.15007OpenAlexW2052245997MaRDI QIDQ5626866

Robert E. Hartwig

Publication date: 1972

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0123012

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (21)

On functions of companion matrices ⋮ On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\) ⋮ The linear bi-spatial tensor equation \(\varphi_{ij}A^iXB^j=C\) ⋮ On the numerical analysis of generalized sylvester equations ⋮ On the numerical analtsys of generated sylvester equations ⋮ Resultants and group matrices ⋮ Controllability, observability and the solution of AX-XB=C ⋮ Resultants and Lyapunov matrix equations ⋮ Algebraic method for the study of some linear matrix equations ⋮ On the parametric solution to the second-order Sylvester matrix equation \(EVF^{2} - AVF - CV=BW\) ⋮ \(\sigma\)-game, \(\sigma ^{+}\)-game and two-dimensional additive cellular automata ⋮ Projection methods for large Lyapunov matrix equations ⋮ An explicit solution to the matrix equation \(AX - XF = BY\) ⋮ Explicit solutions of the matrix equation AX - XB = C ⋮ Solutions to linear bimatrix equations with applications to pole assignment of complex-valued linear systems ⋮ Theory and applications of matrix perturbations, with respect to Hankel matrices and power formulae ⋮ On the numerical solution of \(AX-XB=C\) ⋮ Roth's removal rule revisited ⋮ Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices ⋮ Generalized Lyapunov equations, matrices with displacement structure, and generalized Bézoutians ⋮ Lyapunov equations for companion matrices

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