Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2006, Volume 334, Pages 13–29 (Mi znsl219)  
This article is cited in 5 scientific papers (total in 5 papers)

The generalized monotonicity property of the Perron root

Yu. A. Alpina, L. Yu. Kolotilinab

a Kazan State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (215 kB) Citations (5)
References:
PDF
HTML
Abstract: The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is shown that this new property implies known monotonicity properties and also the Chistyakov two-sided bounds for the Peroon root of a block-partitioned nonnegative matrix. Moreover, based on the monotonicity property suggested, the equality cases in Chistyakov's theorem are analyzed. Applications to bounding above the spectral radius of a complex matrix are presented.
Received: 29.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 6, Pages 1576–1585
DOI: https://doi.org/10.1007/s10958-007-0066-9
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: Yu. A. Alpin, L. Yu. Kolotilina, “The generalized monotonicity property of the Perron root”, Computational methods and algorithms. Part XIX, Zap. Nauchn. Sem. POMI, 334, POMI, St. Petersburg, 2006, 13–29; J. Math. Sci. (N. Y.), 141:6 (2007), 1576–1585
Citation in format AMSBIB
\Bibitem{AlpKol06}
\by Yu.~A.~Alpin, L.~Yu.~Kolotilina
\paper The generalized monotonicity property of the Perron root
\inbook Computational methods and algorithms. Part~XIX
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 334
\pages 13--29
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl219}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2270905}
\zmath{https://zbmath.org/?q=an:1119.15009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 141
\issue 6
\pages 1576--1585
\crossref{https://doi.org/10.1007/s10958-007-0066-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846944056}
Linking options:
  • https://www.mathnet.ru/eng/znsl219
  • https://www.mathnet.ru/eng/znsl/v334/p13
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025