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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 5, Pages 1010–1016 (Mi smj2141)  
This article is cited in 10 scientific papers (total in 10 papers)

Partial indices of unitary and Hermitian matrix functions

A. F. Voronin

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (274 kB) Citations (10)
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Abstract: We show that all partial indices of an even unitary matrix function of size $n>1$ are equal to zero. We find new effective sufficient conditions for the existence of canonical factorization of a Hermitian matrix function of size 2 (when all its partial indices are equal to zero).
Keywords: factorization, matrix function, partial index.
Received: 30.07.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 5, Pages 805–809
DOI: https://doi.org/10.1007/s11202-010-0080-x
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: A. F. Voronin, “Partial indices of unitary and Hermitian matrix functions”, Sibirsk. Mat. Zh., 51:5 (2010), 1010–1016; Siberian Math. J., 51:5 (2010), 805–809
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:73
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