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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 923–941
DOI: https://doi.org/10.4213/mzm237
(Mi mzm237)
 

This article is cited in 4 scientific papers (total in 4 papers)

A Complete System of Invariants with Respect to Similarity for Pairs of Matrices of Even Order with Characteristic Matrix of Special Smith form

B. Z. Shavarovskii

Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Full-text PDF (274 kB) Citations (4)
References:
Abstract: We study the similarity of a pair of matrices of even order with special Smith form and certain conditions for the decomposability of the characteristic matrix of the pair. In this connection, we obtain a complete system of invariants for this class of pairs of matrices with respect to similarity. The results obtained are stated in the classical terms of ranks, of minimal indices, and of elementary divisors of matrices (both “finite” and “infinite”).
Received: 15.02.2001
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 871–888
DOI: https://doi.org/10.1023/A:1024014200292
Bibliographic databases:
UDC: 512.64
Language: Russian
Citation: B. Z. Shavarovskii, “A Complete System of Invariants with Respect to Similarity for Pairs of Matrices of Even Order with Characteristic Matrix of Special Smith form”, Mat. Zametki, 73:6 (2003), 923–941; Math. Notes, 73:6 (2003), 871–888
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm237
  • https://www.mathnet.ru/eng/mzm/v73/i6/p923
  • This publication is cited in the following 4 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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