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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
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
Citation:
M. Lin, G. Sinnamon, “The generalized Wielandt inequality in inner product spaces”, Eurasian Math. J., 3:1 (2012), 72–85
Linking options:
https://www.mathnet.ru/eng/emj75 https://www.mathnet.ru/eng/emj/v3/i1/p72
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Abstract page: | 360 | Full-text PDF : | 137 | References: | 50 |
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