The explicit solutions and solvability of linear matrix equations

DOI10.1016/S0024-3795(00)00049-5zbMath0958.15008OpenAlexW1997441781MaRDI QIDQ1567556

Li-Ping Huang

Publication date: 21 June 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00049-5

zbMATH Keywords

polynomial matricesSmith normal formlinear matrix equation

Mathematics Subject Classification ID

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

Related Items (5)

On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\) ⋮ On solutions of generalized Sylvester equation in polynomial matrices ⋮ Solving the generalized Sylvester matrix equation \(AV+BW=EVF\) via a Kronecker map ⋮ Solutions to a family of matrix equations by using the Kronecker matrix polynomials ⋮ To solve matrix equation \(\sum A^iXB_i=C\) by the Smith normal form

Cites Work

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• The solvability of linear matrix equations over a central simple algebra
• The quaternion matrix equation ΣA i XB i =E

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