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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 54–69 (Mi smj2177)  
This article is cited in 13 scientific papers (total in 13 papers)

A method for determining the partial indices of symmetric matrix functions

A. F. Voronin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (357 kB) Citations (13)
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Abstract: We propose a method for determining the partial indices of matrix functions with some symmetries. It rests on the canonical factorization criteria of the author's previous articles. We show that the method is efficient for the symmetric classes of matrix functions: unitary, hermitian, orthogonal, circular, symmetric, and others. We apply one of our results on the partial indices of Hermitian matrix functions and find effective well-posedness conditions for a generalized scalar Riemann problem (the Markushevich problem).
Keywords: factorization, Riemann problem, symmetric matrix function, partial index.
Received: 25.03.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 1, Pages 41–53
DOI: https://doi.org/10.1134/S0037446606010058
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: A. F. Voronin, “A method for determining the partial indices of symmetric matrix functions”, Sibirsk. Mat. Zh., 52:1 (2011), 54–69; Siberian Math. J., 52:1 (2011), 41–53
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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