On the norm and spectral radius of Hermitian elements
โ Scribed by S. Norvidas
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 127 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0363-1672
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๐ SIMILAR VOLUMES
Let M + n be the set of entrywise nonnegative n ร n matrices. Denote by r(A) the spectral radius (Perron root) of A โ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S โ M + n with exactly one positive entry in each row and each co
## We prove the spectral radius inequality ฯ(A for nonnegative matrices using the ideas of Horn and Zhang. We obtain the inequality A โข B ฯ(A T B) for nonnegative matrices, which improves Schur's classical inequality , where โข denotes the spectral norm. We also give counterexamples to two conject
The joint spectral radius of a set of matrices is a measure of the maximal asymptotic growth rate that can be obtained by forming long products of matrices taken from the set. This quantity appears in a number of application contexts but is notoriously difficult to compute and to approximate. We int