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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 121–138 (Mi znsl5741)  
Some inequalities connecting the singular values of a complex matrix with the Perron roots of related nonnegative matrices

L. Yu. Kolotilina

St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
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Abstract: In the paper, some inequalities interrelating the singular values of a square matrix $A$ with complex entries with the Perron roots of the associated nonnegative matrices $P_A=|A|\circ|A|$ and $(P_A+P_A^T)/2$ are derived. The results obtained are applied to $(0,1)$-matrices.
Key words and phrases: singular values, nonnegative matrix, Perron root, Frobenius theorem, $(0,1)$-matrix.
Received: 01.07.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 438–447
DOI: https://doi.org/10.1007/s10958-014-1871-6
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Some inequalities connecting the singular values of a complex matrix with the Perron roots of related nonnegative matrices”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 121–138; J. Math. Sci. (N. Y.), 199:4 (2014), 438–447
Citation in format AMSBIB
\Bibitem{Kol13}
\by L.~Yu.~Kolotilina
\paper Some inequalities connecting the singular values of a~complex matrix with the Perron roots of related nonnegative matrices
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 121--138
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5741}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 438--447
\crossref{https://doi.org/10.1007/s10958-014-1871-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902343311}
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