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This article is cited in 2 scientific papers (total in 2 papers)
On the Interdependence between Invariant Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks
V. P. Shchedrik Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov
Abstract:
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.
Keywords:
invariant multipliers of a block-triangular matrix, GCD of the minors of a matrix, the group $GL_t(R)$, principal ideal, ring, canonical diagonal form of a matrix.
Received: 02.04.2009
Citation:
V. P. Shchedrik, “On the Interdependence between Invariant Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks”, Mat. Zametki, 90:4 (2011), 599–612; Math. Notes, 90:4 (2011), 584–596
Linking options:
https://www.mathnet.ru/eng/mzm7826https://doi.org/10.4213/mzm7826 https://www.mathnet.ru/eng/mzm/v90/i4/p599
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Abstract page: | 315 | Full-text PDF : | 179 | References: | 55 | First page: | 17 |
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