All spectral dominant norms are stable |
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Authors: | S Friedland C Zenger |
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Institution: | Hebrew University, Israel;Mathematics Research Center University of Wisconsin — Madison Madison, Wisconsin, USA 53706;Technische Universität München, West Germany |
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Abstract: | A vector norm |·|on the space of n×n complex valued matrices is called stable if for some constant K&>0, not depending upon A or m, we have |Am|?K|A|m We show that such a norm is stable if and only if it dominates the spectralradius. |
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