Geodesic
Numerical solution of matrix equations of the form $X+AX^{\mathrm T}B=C$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 331-335

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A review of numerical methods for solving matrix equations of the form $X+AX^{\mathrm T}B=C$ is given. The methods under consideration were implemented in the Matlab environment. The performances of these methods are compared, including the case where the conditions for unique solvability are “almost” violated. 
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     title = {Numerical solution of matrix equations of the form $X+AX^{\mathrm T}B=C$},
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Yu. O. Vorontsov; Khakim D. Ikramov. Numerical solution of matrix equations of the form $X+AX^{\mathrm T}B=C$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 331-335. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a0/