Geodesic
On the Interdependence between Invariant Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks
Matematičeskie zametki, Tome 90 (2011) no. 4, pp. 599-612

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The interdependence between the invariant multipliers of a block-triangular matrix and its diagonal blocks is established under some constraints on its canonical diagonal form.
Mots-clés : invariant multipliers of a block-triangular matrix
Keywords: GCD of the minors of a matrix, the group $GL_t(R)$, principal ideal, ring, canonical diagonal form of a matrix. 
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     author = {V. P. Shchedrik},
     title = {On the {Interdependence} between {Invariant} {Multipliers} of a {Block-Triangular} {Matrix} and {Its} {Diagonal} {Blocks}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_4_a8/}
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V. P. Shchedrik. On the Interdependence between Invariant Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks. Matematičeskie zametki, Tome 90 (2011) no. 4, pp. 599-612. http://geodesic.mathdoc.fr/item/MZM_2011_90_4_a8/