Geodesic
Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1353-1362

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A certain standard form is found for a complex matrix with respect to equivalent transformations by quasi-diagonal matrices. The solvability of certain matrix equations in the rings of quasi-diagonal matrices is examined using this standard form. 
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     author = {B. Z. Shavarovskii},
     title = {Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1353--1362},
     publisher = {mathdoc},
     volume = {46},
     number = {8},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a1/}
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B. Z. Shavarovskii. Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1353-1362. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a1/