| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Lindner, Marko | - |
| dc.date.accessioned | 2019-07-26T06:24:03Z | - |
| dc.date.available | 2019-07-26T06:24:03Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Opuscula Mathematica 6 (38): 849-857 (2018) | de_DE |
| dc.identifier.issn | 0860-2727 | de_DE |
| dc.identifier.uri | http://hdl.handle.net/11420/3028 | - |
| dc.description.abstract | In their recent paper “The spectral norm of a Horadam circulant matrix”, Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix C equals the modulus of its row/column sum. We improve on their sufficient condition until we have a necessary one. Our results connect the above problem to positivity of sufficiently high powers of the matrix C>C. We then generalize the result to complex circulant matrices. | en |
| dc.language.iso | en | de_DE |
| dc.publisher | AGH Univ. of Science and Technology Press | de_DE |
| dc.relation.ispartof | Opuscula mathematica | de_DE |
| dc.subject.ddc | 510: Mathematik | de_DE |
| dc.title | Circulant matrices: Norm, powers, and positivity | de_DE |
| dc.type | Article | de_DE |
| dc.type.dini | article | - |
| dc.subject.ddccode | 510 | - |
| dcterms.DCMIType | Text | - |
| tuhh.abstract.english | In their recent paper “The spectral norm of a Horadam circulant matrix”, Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix C equals the modulus of its row/column sum. We improve on their sufficient condition until we have a necessary one. Our results connect the above problem to positivity of sufficiently high powers of the matrix C>C. We then generalize the result to complex circulant matrices. | de_DE |
| tuhh.publisher.doi | 10.7494/OpMath.2018.38.6.849 | - |
| tuhh.publication.institute | Mathematik E-10 | de_DE |
| tuhh.type.opus | (wissenschaftlicher) Artikel | - |
| tuhh.institute.german | Mathematik E-10 | de |
| tuhh.institute.english | Mathematik E-10 | de_DE |
| tuhh.gvk.hasppn | false | - |
| dc.type.driver | article | - |
| dc.type.casrai | Journal Article | - |
| tuhh.container.issue | 6 | de_DE |
| tuhh.container.volume | 38 | de_DE |
| tuhh.container.startpage | 849 | de_DE |
| tuhh.container.endpage | 857 | de_DE |
| dc.identifier.scopus | 2-s2.0-85052012689 | - |
| datacite.resourceType | Journal Article | - |
| datacite.resourceTypeGeneral | Text | - |
| item.grantfulltext | none | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
| item.creatorGND | Lindner, Marko | - |
| item.openairetype | Article | - |
| item.fulltext | No Fulltext | - |
| item.cerifentitytype | Publications | - |
| item.creatorOrcid | Lindner, Marko | - |
| item.languageiso639-1 | en | - |
| item.mappedtype | Article | - |
| crisitem.author.dept | Mathematik E-10 | - |
| crisitem.author.orcid | 0000-0001-8483-2944 | - |
| crisitem.author.parentorg | Studiendekanat Elektrotechnik, Informatik und Mathematik | - |
| Appears in Collections: | Publications without fulltext | |
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