Abstract
We consider the solution of the ★-Sylvester equations AX±X★B★=C, for ★=T, H and A,B,∈Cn×n, and the related linear matrix equations AXB★±X★=C, AXB★±CX★D★=E and AX±X★A★=C. Solvability conditions and numerical methods are considered, in terms of the (generalized and periodic) Schur and QR decompositions. We emphasize the square cases where m=n but the rectangular cases will be considered.
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