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Eurasian Mathematical Journal, 2012, Volume 3, Number 1, Pages 72–85 (Mi emj75)  
This article is cited in 4 scientific papers (total in 4 papers)

The generalized Wielandt inequality in inner product spaces

M. Lina, G. Sinnamonb

a Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada
b Department of Mathematics, University of Western Ontario, London, Canada
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Abstract: A new inequality between angles in inner product spaces is formulated and proved. It leads directly to a concise statement and proof of the generalized Wielandt inequality, including a simple description of all cases of equality. As a consequence, several recent results in matrix analysis and inner product spaces are improved.
Keywords and phrases: Wielandt inequality, inner product, angle, condition number.
Received: 28.10.2011
Bibliographic databases:
Document Type: Article
MSC: 15A42, 15A12
Language: English
Citation: M. Lin, G. Sinnamon, “The generalized Wielandt inequality in inner product spaces”, Eurasian Math. J., 3:1 (2012), 72–85
Citation in format AMSBIB
\Bibitem{LinSin12}
\by M.~Lin, G.~Sinnamon
\paper The generalized Wielandt inequality in inner product spaces
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 1
\pages 72--85
\mathnet{http://mi.mathnet.ru/emj75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024110}
\zmath{https://zbmath.org/?q=an:1272.15013}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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