On the spectral radius of a nonnegative centrosymmetric matrix
โ Scribed by Hongyi Li; Di Zhao; Fei Dai; Donglin Su
- Book ID
- 113439928
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 160 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
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