Geodesic
Method of finding inverse matrix order $N$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6

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A linear parameterization of group $GL(N,C)$ formed by certain basis of matrices with in advance known symmetry properties is offered. The concept of the canonical basis is introduced by means of direct product of the corresponding so-called generalized Gell-Mann matrices. The properties of this canonical basis are enumerated and proved; algorithm of finding inverse matrix order $N$ in canonical basis is proposed. 
@article{ZVMMF_2012_52_6_a0,
     author = {A. N. Lavrenov},
     title = {Method of finding inverse matrix order $N$},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {979},
     publisher = {mathdoc},
     volume = {52},
     number = {6},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a0/}
}
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A. N. Lavrenov. Method of finding inverse matrix order $N$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a0/