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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 334, Pages 78–83 (Mi znsl224)  
On rank-one corrections of complex symmetric matrices

M. Danaa, Kh. D. Ikramovb

a University of Kurdistan
b M. V. Lomonosov Moscow State University
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Abstract: Let a matrix $A\in M_n(\mathbf C)$ be a rank-one perturbation of a complex symmetric matrix, i.e. $A=X+Y$ for some unknown matrices $X$ and $Y$ such that $X=X^T$ and $\mathrm{rank}\,Y=1$. The problem of determining the matrices $X$ and $Y$ is solved.
Received: 16.01.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 6, Pages 1614–1617
DOI: https://doi.org/10.1007/s10958-007-0070-0
Bibliographic databases:
UDC: 512
Language: Russian
Citation: M. Dana, Kh. D. Ikramov, “On rank-one corrections of complex symmetric matrices”, Computational methods and algorithms. Part XIX, Zap. Nauchn. Sem. POMI, 334, POMI, St. Petersburg, 2006, 78–83; J. Math. Sci. (N. Y.), 141:6 (2007), 1614–1617
Citation in format AMSBIB
\Bibitem{DanIkr06}
\by M.~Dana, Kh.~D.~Ikramov
\paper On rank-one corrections of complex symmetric matrices
\inbook Computational methods and algorithms. Part~XIX
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 334
\pages 78--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2270909}
\zmath{https://zbmath.org/?q=an:05161407}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 6
\pages 1614--1617
\crossref{https://doi.org/10.1007/s10958-007-0070-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846992733}
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