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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 323, Pages 50–56 (Mi znsl380)  
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue

Kh. D. Ikramova, A. M. Nazarib

a M. V. Lomonosov Moscow State University
b Arak University
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Abstract: An elementary proof is given for a formula for the 2-norm distance from a normal matrix $A$ to the set of matrices with a multiple zero eigenvalue. Earlier, the authors obtained this formula as an implication of a nontrivial result due to A. N. Malyshev.
Received: 06.01.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 3, Pages 4789–4793
DOI: https://doi.org/10.1007/s10958-006-0277-5
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Kh. D. Ikramov, A. M. Nazari, “On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue”, Computational methods and algorithms. Part XVIII, Zap. Nauchn. Sem. POMI, 323, POMI, St. Petersburg, 2005, 50–56; J. Math. Sci. (N. Y.), 137:3 (2006), 4789–4793
Citation in format AMSBIB
\Bibitem{IkrNaz05}
\by Kh.~D.~Ikramov, A.~M.~Nazari
\paper On the 2-norm distance from a~normal matrix to the set of matrices with a~multiple zero eigenvalue
\inbook Computational methods and algorithms. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 323
\pages 50--56
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160308}
\zmath{https://zbmath.org/?q=an:1083.15038}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 3
\pages 4789--4793
\crossref{https://doi.org/10.1007/s10958-006-0277-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746791104}
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