Geodesic
Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 2, pp. 179-182 
Yu. O. Vorontsov; Khakim D. Ikramov. Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 2, pp. 179-182. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_2_a0/
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     title = {Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The numerical algorithms for solving equations of the type $AX+X^TB=C$ or $AX+X^*B=C$ that were earlier proposed by the authors are now modified for the situations where these equations can be regarded as self-adjoint ones. The economy in computational time and work achieved through these modifications is illustrated by numerical results.

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