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Sbornik: Mathematics, 2003, Volume 194, Issue 7, Pages 1069–1077
DOI: https://doi.org/10.1070/SM2003v194n07ABEH000755 (Mi sm755) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Coxeter transformations and the geometry of the data matrix

V. A. Kolmykov

Voronezh State University
English version PDF (156 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2003v194n07ABEH000755
Abstract: The Coxeter conjugation of an arbitrary set of square matrices is introduced and David matrices are defined. It is proved that the Coxeter conjugate of the set of all complex symmetric matrices coincides with the set of all complex David matrices.
Received: 13.06.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 7, Pages 119–126
DOI: https://doi.org/10.4213/sm755
Bibliographic databases:
UDC: 512.543.14+512.643.5+512.817.73
MSC: Primary 05C50; Secondary 15A57
Language: English
Original paper language: Russian
Citation: V. A. Kolmykov, “Coxeter transformations and the geometry of the data matrix”, Mat. Sb., 194:7 (2003), 119–126; Sb. Math., 194:7 (2003), 1069–1077
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v194/i7/p119
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:199
    English version PDF:20
    References:71
    First page:1
     
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