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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 741–753 (Mi tvp3659)  
This article is cited in 3 scientific papers (total in 3 papers)

A matrix equation for resolvents of random matrices with independent blocks

V. L. Girko

National Taras Shevchenko University of Kyiv, The Faculty of Cybernetics
Full-text PDF (613 kB) Citations (3)
Abstract: The paper extends the Wegner semicircular law to symmetric matrices with independent random blocks obeying a Lindeberg-type condition and allowing arbitrary dependence of elements within each block. It is proved that the Stieltjes transform of the limiting spectral functions satisfies a matrix canonical spectral equation.
Keywords: REFORM method, eigenvalues, Lindeberg's condition, Stieltjes transform, canonical spectral equation.
Received: 24.03.1993
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 4, Pages 635–644
DOI: https://doi.org/10.1137/1140073
Bibliographic databases:
Language: Russian
Citation: V. L. Girko, “A matrix equation for resolvents of random matrices with independent blocks”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 741–753; Theory Probab. Appl., 40:4 (1995), 635–644
Citation in format AMSBIB
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\by V.~L.~Girko
\paper A~matrix equation for resolvents of random matrices with independent blocks
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 4
\pages 741--753
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1405142}
\zmath{https://zbmath.org/?q=an:0858.15009}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 4
\pages 635--644
\crossref{https://doi.org/10.1137/1140073}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WD22100003}
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  • https://www.mathnet.ru/eng/tvp/v40/i4/p741
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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