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Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 67–73
DOI: https://doi.org/10.4213/mzm10354
(Mi mzm10354)
 

On an Extremal Property of Normal Matrices

N. V. Ilyushechkin

OAO Morinformsistema AGAT, Moscow
Full-text PDF (417 kB) (1)
References:
Abstract: The volume of the parallelepiped spanned by functions of a square complex matrix defined on its spectrum is considered. The sharp lower bound of such volumes is found.
Keywords: square complex matrix, Hermite interpolation polynomial, unitary space, Gram matrix, minor.
Received: 22.06.2013
Revised: 04.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 57–62
DOI: https://doi.org/10.1134/S0001434615010071
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: N. V. Ilyushechkin, “On an Extremal Property of Normal Matrices”, Mat. Zametki, 97:1 (2015), 67–73; Math. Notes, 97:1 (2015), 57–62
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v97/i1/p67
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математические заметки Mathematical Notes
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    Abstract page:486
    Full-text PDF :177
    References:70
    First page:29
     
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