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Matematicheskie Zametki, 2007, Volume 82, Issue 1, Pages 27–35
DOI: https://doi.org/10.4213/mzm3750 (Mi mzm3750) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Jordan Matrix of a Linear Operator

S. G. Dalalyan

Yerevan State University
Full-text PDF (439 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3750
Abstract: For any linear operator defined over an arbitrary field k, there is a basis in which this matrix is a generalized Jordan matrix (of the second kind) with elements in the field k. For any linear operator, such a matrix is defined uniquely up to permutation of diagonal blocks.
Keywords: linear operator over a field, Jordan normal form, generalized Jordan matrix, Jordan cell, algebraically closed field, companion matrix, block-diagonal matrix, splitting field.
Received: 06.10.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 1, Pages 25–32
DOI: https://doi.org/10.1134/S0001434607070048
Bibliographic databases:
UDC: 512
Language: Russian
Citation: S. G. Dalalyan, “Generalized Jordan Matrix of a Linear Operator”, Mat. Zametki, 82:1 (2007), 27–35; Math. Notes, 82:1 (2007), 25–32
Citation in format AMSBIB
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Linking options:
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  • https://doi.org/10.4213/mzm3750
  • https://www.mathnet.ru/eng/mzm/v82/i1/p27
    • This publication is cited in the following 3 articles:
    1. S. H. Dalalyan, “On generalized Jordan normal forms of the linear operator”, J. Math. Sci., 198:5 (2014), 498–504  mathnet  crossref
    2. S. H. Dalalyan, “Generalized Jordan normal forms of a finite-dimensional linear operator”, Russian Math. (Iz. VUZ), 55:5 (2011), 67–69  mathnet  crossref  mathscinet
    3. Dalalyan S. H., “A direct proof of a theorem on the generalized Jordan form of linear operators”, J. Contemp. Math. Anal., 43:5 (2008), 274–284  crossref  mathscinet  zmath  isi
    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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