On the spectral norms of the matrices connected to integer number sequences
✍ Scribed by Bozkurt, Durmuş
- Book ID
- 123274223
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 177 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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## Abstract In this paper we continue to study the spectral norms and their completions ([4]) in the case of the algebraic closure \documentclass{article} \usepackage{amssymb} \pagestyle{empty} \begin{document} $ \overline {\mathbb Q} $ \end{document} of ℚ in ℂ. Let \documentclass{article} \usepack
## We prove the spectral radius inequality ρ(A for nonnegative matrices using the ideas of Horn and Zhang. We obtain the inequality A • B ρ(A T B) for nonnegative matrices, which improves Schur's classical inequality , where • denotes the spectral norm. We also give counterexamples to two conject