On the Quadraticity of Linear Combinations of Quadratic Matrices
| dc.authorid | Özdemir, Halim/0000-0003-4624-437X | |
| dc.authorscopusid | 55355416300 | |
| dc.authorscopusid | 7004290618 | |
| dc.authorscopusid | 9276702800 | |
| dc.authorwosid | Özdemir, Halim/AAA-9437-2021 | |
| dc.contributor.author | Uc, M. | |
| dc.contributor.author | Ozdemir, H. | |
| dc.contributor.author | Ozban, A. Y. | |
| dc.date.accessioned | 2024-07-05T14:32:34Z | |
| dc.date.available | 2024-07-05T14:32:34Z | |
| dc.date.issued | 2015 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Uc, M.; Ozdemir, H.] Sakarya Univ, Dept Math, Sakarya, Turkey; [Ozban, A. Y.] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| dc.description | Özdemir, Halim/0000-0003-4624-437X | en_US |
| dc.description.abstract | Let [GRAPHICS] and [GRAPHICS] be [GRAPHICS] nonzero quadratic matrices and let [GRAPHICS] and [GRAPHICS] be nonzero complex numbers. Necessary and sufficient conditions for the quadraticity of the linear combinations of the form [GRAPHICS] are obtained. Our main results contain many of the results in the literature related to idempotency or involutivity of the linear combinations of idempotent and/or involutive matrices. Finally, some numerical examples are given to exemplify the main results. | en_US |
| dc.description.sponsorship | Sakarya University Scientific Research Commission [FBEDTEZ 2014-50-02-012] | en_US |
| dc.description.sponsorship | The first two authors were supported by Sakarya University Scientific Research Commission [grant number FBEDTEZ 2014-50-02-012]. | en_US |
| dc.identifier.citationcount | 12 | |
| dc.identifier.doi | 10.1080/03081087.2014.922967 | |
| dc.identifier.endpage | 1137 | en_US |
| dc.identifier.issn | 0308-1087 | |
| dc.identifier.issn | 1563-5139 | |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.scopus | 2-s2.0-84940216168 | |
| dc.identifier.startpage | 1125 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/03081087.2014.922967 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/827 | |
| dc.identifier.volume | 63 | en_US |
| dc.identifier.wos | WOS:000346841800005 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 7 | |
| dc.subject | idempotent matrix | en_US |
| dc.subject | quadratic matrix | en_US |
| dc.subject | t-potent | en_US |
| dc.subject | involutive matrix | en_US |
| dc.subject | quadraticity | en_US |
| dc.title | On the Quadraticity of Linear Combinations of Quadratic Matrices | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 9 | |
| dspace.entity.type | Publication |