Processing math: 100%
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2017, Volume 101, Issue 4, Pages 562–575
DOI: https://doi.org/10.4213/mzm11246 (Mi mzm11246) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Spectral Abscissa and the Logarithmic Norm

A. I. Perov, I. D. Kostrub

Voronezh State University
Full-text PDF (506 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11246
Abstract: In this paper, both well-known and new properties of the spectral abscissa and the logarithmic norm are described. In addition to well-known formulas for the norm of a matrix and for its logarithmic norm in cubic, octahedral, spherical norms, various estimates for these quantities in an arbitrary Hölder norm are proved.
Keywords: spectral radius and the norm of a matrix, spectral abscissa and the logarithmic norm of a matrix, Young's inequality, Hölder's inequality, Riesz theorem, Hölder norm.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00197.
Received: 06.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 4, Pages 677–687
DOI: https://doi.org/10.1134/S0001434617030257
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. I. Perov, I. D. Kostrub, “On the Spectral Abscissa and the Logarithmic Norm”, Mat. Zametki, 101:4 (2017), 562–575; Math. Notes, 101:4 (2017), 677–687
Citation in format AMSBIB
\Bibitem{PerKos17}
\by A.~I.~Perov, I.~D.~Kostrub
\paper On the Spectral Abscissa and the Logarithmic Norm
\jour Mat. Zametki
\yr 2017
\vol 101
\issue 4
\pages 562--575
\mathnet{http://mi.mathnet.ru/mzm11246}
\crossref{https://doi.org/10.4213/mzm11246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3629045}
\elib{https://elibrary.ru/item.asp?id=28931417}
\transl
\jour Math. Notes
\yr 2017
\vol 101
\issue 4
\pages 677--687
\crossref{https://doi.org/10.1134/S0001434617030257}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000401454600025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018846633}
Linking options:
  • https://www.mathnet.ru/eng/mzm11246
  • https://doi.org/10.4213/mzm11246
  • https://www.mathnet.ru/eng/mzm/v101/i4/p562
    • This publication is cited in the following 6 articles:
    1. Mekki Hammi, “New results on exponential stability of time-varying systems using logarithmic norm”, Georgian Mathematical Journal, 2025  crossref
    2. A. V. Mukhin, “Kriterii suschestvovaniya staticheskogo regulyatora po vykhodu”, UBS, 103 (2023), 121–134  mathnet  crossref
    3. Roozbeh Abolpour, Parisa Moradi, “Developing stability and boundedness conditions for LPV systems exploiting pointwise Hurwitzness”, Int. J. Dynam. Control, 10:3 (2022), 818  crossref  mathscinet
    4. J. D. Pabon, G. A. Cardona, N. I. Ospina, J. Calderon, E. Mojica-Nava, “Event-triggered control for weight-unbalanced directed robot networks”, 2021 IEEE/Rsj International Conference on Intelligent Robots and Systems (Iros), IEEE International Conference on Intelligent Robots and Systems, IEEE, 2021, 5831–5836  crossref  isi
    5. A. M. Bikchentaev, “Seminorms Associated with Subadditive Weights on C∗-Algebras”, Math. Notes, 107:3 (2020), 383–391  mathnet  crossref  crossref  mathscinet  isi  elib
    6. O. I. Kleschina, “Norma i logarifmicheskaya norma beskonechnykh matrits”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki, 23:123 (2018), 424–430  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:444
    Full-text PDF :74
    References:69
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025