HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Numerical range and positive block matrices

Abstract : We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range W (X) of the off-diagonal block X, especially the distance d from 0 to W (X). A special consequence is an estimate, diam W A X X * B − diam W A + B 2 ≥ 2d, between the diameters of the numerical ranges for the full matrix and its partial trace.
Document type :
Journal articles
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03526812
Contributor : Jean-Christophe Bourin Connect in order to contact the contributor
Submitted on : Friday, January 14, 2022 - 5:05:51 PM
Last modification on : Friday, April 1, 2022 - 3:57:33 AM
Long-term archiving on: : Friday, April 15, 2022 - 7:15:43 PM

File

numranposREV.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03526812, version 1

Collections

Citation

Jean-Christophe Bourin, Eun-Young Lee. Numerical range and positive block matrices. Bulletin of the Australian Mathematical Society, John Loxton University of Western Sydney|Australia 2021. ⟨hal-03526812⟩

Share

Metrics

Record views

7

Files downloads

3