Geodesic
On the one-side equivalence of matrices with given canonical diagonal form
Algebra and discrete mathematics, Tome 12 (2011) no. 2, pp. 102-111

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The simpler form of a matrix with canonical diagonal form $\mathrm{diag}(1,\dots,1,\varphi,\dots,\varphi)$ obtained by the one-side transformation is determined.
Keywords: adequate ring, canonical diagonal form, Hermite normal form
Mots-clés : one-side equivalence of matrices, invariants, primitive matrices. 
@article{ADM_2011_12_2_a9,
     author = {V. Shchedryk},
     title = {On the one-side equivalence of matrices with given canonical diagonal form},
     journal = {Algebra and discrete mathematics},
     pages = {102--111},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2011_12_2_a9/}
}
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V. Shchedryk. On the one-side equivalence of matrices with given canonical diagonal form. Algebra and discrete mathematics, Tome 12 (2011) no. 2, pp. 102-111. http://geodesic.mathdoc.fr/item/ADM_2011_12_2_a9/