Geodesic
On the Spectral Abscissa and the Logarithmic Norm
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 562-575

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2017_101_4_a5,
     author = {A. I. Perov and I. D. Kostrub},
     title = {On the {Spectral} {Abscissa} and the {Logarithmic} {Norm}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {562--575},
     publisher = {mathdoc},
     volume = {101},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a5/}
}
TY  - JOUR
AU  - A. I. Perov
AU  - I. D. Kostrub
TI  - On the Spectral Abscissa and the Logarithmic Norm
JO  - Matematičeskie zametki
PY  - 2017
SP  - 562
EP  - 575
VL  - 101
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a5/
LA  - ru
ID  - MZM_2017_101_4_a5
ER  - 
%0 Journal Article
%A A. I. Perov
%A I. D. Kostrub
%T On the Spectral Abscissa and the Logarithmic Norm
%J Matematičeskie zametki
%D 2017
%P 562-575
%V 101
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a5/
%G ru
%F MZM_2017_101_4_a5
A. I. Perov; I. D. Kostrub. On the Spectral Abscissa and the Logarithmic Norm. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 562-575. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a5/