Geodesic
Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 853-856

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Certain modifications are proposed for a numerical algorithm solving the matrix equation $X+AX^TB=C$. By keeping the intermediate results in storage and repeatedly using them, it is possible to reduce the total complexity of the algorithm from $O(n^4)$ to $O(n^3)$ arithmetic operations. 
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     author = {Yu. O. Vorontsov},
     title = {Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {853--856},
     publisher = {mathdoc},
     volume = {53},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a1/}
}
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Yu. O. Vorontsov. Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 853-856. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a1/