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 Ho¨ lder norm are proved.
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Original Russian Text © A. I. Perov, I. D. Kostrub, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 4, pp. 562–575.
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Perov, A.I., Kostrub, I.D. On the spectral abscissa and the logarithmic norm. Math Notes 101, 677–687 (2017). https://doi.org/10.1134/S0001434617030257
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DOI: https://doi.org/10.1134/S0001434617030257