Derives existence conditions and explicit general solutions for homogeneous and inhomogeneous singular Sylvester equations over the quaternions using square-root constructions.
The equationsππ₯βπ₯π=π,ππ₯β π₯π=πand π₯ππ₯=πin quaternions.Southeast Asian Bulletin of Mathematics, 28:343β362
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On solutions of singular Sylvester equations in quaternions
Derives existence conditions and explicit general solutions for homogeneous and inhomogeneous singular Sylvester equations over the quaternions using square-root constructions.