Geodesic
Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 34 (2014) no. 2, pp. 191-206.

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Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
Keywords: matrix equations, norm estimates, perturbations, invariant subspaces 
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Gil', Michael. Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 34 (2014) no. 2, pp. 191-206. http://geodesic.mathdoc.fr/item/DMDICO_2014_34_2_a2/

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