Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

On the maximal numerical range of some matrices

Simple item page
dc.contributor.authorHamed, Ali Nosherwanen
dc.contributor.authorSpitkovsky, Ilya Matveevichen
dc.date.accessioned2026-06-15T19:41:54Z
dc.date.available2026-06-15T19:41:54Z
dc.date.issued2018-02-21en
dc.description.abstractThe maximal numerical rangeW0(A) of a matrixAis the (regular) numerical rangeW(B) of its compressionBonto the eigenspaceLofA∗Acorresponding to its maximal eigenvalue. So, alwaysW0(A)⊆W(A). Conditions under whichW0(A) has a non-empty intersection with the boundary ofW(A) are established, in particular, whenW0(A) =W(A). ThesetW0(A) is also described explicitly for matrices unitarily similar to direct sums of 2-by-2 blocks, and some insight into thebehavior ofW0(A) is provided whenLhas codimension one.en
dc.description.sponsorshipSupported in part by Faculty Research funding from the Division of Science and Mathematics, New York University Abu Dhabi.en
dc.description.statusPeer-revieweden
dc.format.extent16en
dc.identifier.otherBibtex:hamed2018maximalen
dc.identifier.otherORCID:/0009-0005-1151-7800/work/217370405en
dc.identifier.scopus85055735860en
dc.identifier.urihttps://hdl.handle.net/1885/733811476
dc.language.isoenen
dc.rights©2018 The authorsen
dc.sourceThe Electronic Journal of Linear Algebraen
dc.titleOn the maximal numerical range of some matricesen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage303en
local.bibliographicCitation.startpage288en
local.contributor.affiliationHamed, Ali Nosherwan; New York University Abu Dhabi, New York Universityen
local.contributor.affiliationSpitkovsky, Ilya Matveevich; New York University Abu Dhabi, New York Universityen
local.identifier.citationvolume34en
local.identifier.doi10.13001/1081-3810.3774en
local.identifier.pure20e636a8-17ff-4c14-b5ce-812c47372e3fen
local.type.statusPublisheden

Downloads

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS