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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.
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
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
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numranposREV.pdf
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