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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
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.
Received: 06.06.2016
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
Linking options:
https://www.mathnet.ru/eng/mzm11246https://doi.org/10.4213/mzm11246 https://www.mathnet.ru/eng/mzm/v101/i4/p562
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Abstract page: | 399 | Full-text PDF : | 61 | References: | 63 | First page: | 34 |
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