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Matematicheskie Zametki, 2002, Volume 72, Issue 6, Pages 834–852
DOI: https://doi.org/10.4213/mzm471 (Mi mzm471) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Determinants of Triangular Matrices and Trajectories on Ferre Diagrams

R. A. Zatorskii

National Taras Shevchenko University of Kyiv
Full-text PDF (239 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm471
Abstract: Some functions defined on the set of integer triangular matrices and their modifications are considered. These functions are analogs of the classical determinant and permanent functions and provide a powerful apparatus for studying sequences generated by linear recursive equations. Modifications of these functions are used to solve the problem about trajectories on Ferre diagrams and to establish new combinatorial identities.
Received: 28.09.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 6, Pages 768–783
DOI: https://doi.org/10.1023/A:1021433728200
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: R. A. Zatorskii, “Determinants of Triangular Matrices and Trajectories on Ferre Diagrams”, Mat. Zametki, 72:6 (2002), 834–852; Math. Notes, 72:6 (2002), 768–783
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm471
  • https://www.mathnet.ru/eng/mzm/v72/i6/p834
    • This publication is cited in the following 4 articles:
    1. Goy T., “Horadam Sequence Through Recurrent Determinants of Tridiagonal Matrices”, Kragujev. J. Math., 42:4 (2018), 527–532  crossref  mathscinet  isi
    2. Goy T. Zatorsky R., “Infinite Linear Recurrence Relations and Superposition of Linear Recurrence Equations”, J. Integer Seq., 20:5 (2017), 17.5.3  mathscinet  zmath  isi
    3. R. A. Zatorskii, A. R. Malyarchuk, “Triangular Matrices and Combinatorial Inversion Formulas”, Math. Notes, 85:1 (2009), 11–19  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. V. E. Tarakanov, R. A. Zatorskii, “A Relationship between Determinants and Permanents”, Math. Notes, 85:2 (2009), 267–273  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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