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Matematicheskie Zametki, 2011, Volume 90, Issue 4, Pages 599–612
DOI: https://doi.org/10.4213/mzm7826
(Mi mzm7826)
 

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
Full-text PDF (442 kB) Citations (2)
References:
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
English version:
Mathematical Notes, 2011, Volume 90, Issue 4, Pages 584–596
DOI: https://doi.org/10.1134/S0001434611090276
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm7826
  • https://doi.org/10.4213/mzm7826
  • https://www.mathnet.ru/eng/mzm/v90/i4/p599
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:315
    Full-text PDF :179
    References:55
    First page:17
     
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