𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral Radii of Fixed Frobenius Norm Perturbations of Nonnegative Matrices

✍ Scribed by Han, Lixing; Neumann, Michael; Tsatsomeros, Michael

Book ID
118216222
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
324 KB
Volume
21
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the spectral radius and the spectral
On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices
✍ Zejun Huang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 140 KB

## We prove the spectral radius inequality ρ(A for nonnegative matrices using the ideas of Horn and Zhang. We obtain the inequality A β€’ B ρ(A T B) for nonnegative matrices, which improves Schur's classical inequality , where β€’ denotes the spectral norm. We also give counterexamples to two conject

Preservers of spectral radius, numerical
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
✍ Chi-Kwong Li; Leiba Rodman πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 242 KB

Let M + n be the set of entrywise nonnegative n Γ— n matrices. Denote by r(A) the spectral radius (Perron root) of A ∈ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S ∈ M + n with exactly one positive entry in each row and each co