Derives existence conditions and explicit general solutions for homogeneous and inhomogeneous singular Sylvester equations over the quaternions using square-root constructions.
Engineering notes solving linear and quadratic quaternion equations.Journal of Guidance, Control, and Dynamics, 29(6):1420–1423, 11 2006
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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.