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Matematicheskie Zametki, 2017, Volume 101, Issue 4, Pages 562–575
DOI: https://doi.org/10.4213/mzm11246 (Mi mzm11246) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Spectral Abscissa and the Logarithmic Norm

A. I. Perov, I. D. Kostrub

Voronezh State University
Full-text PDF (506 kB) Citations (5)
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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
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    • 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
    		Математические заметки Mathematical Notes
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