A Study on Commutative Elliptic Octonion Matrices

Surekci, Arzu Cihan; Gungor, Mehmet Ali

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dc.contributor.authors	Surekci, Arzu Cihan; Gungor, Mehmet Ali
dc.date.accessioned	2023-01-24T12:08:45Z
dc.date.available	2023-01-24T12:08:45Z
dc.date.issued	2022
dc.identifier.issn	1224-1784
dc.identifier.uri	http://dx.doi.org/10.2478/auom-2022-0009
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99595
dc.description	Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya Üniversitesi Açık Bilim ve Açık Akademik Arşiv Yönergesi gereğince telif haklarına uygun olan nüsha açık akademik arşiv sistemine açık erişim olarak yüklenmiştir.
dc.description.abstract	In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of eigenvalue and eigenvector are studied for commutative elliptic octonion matrices. In this regard, the fundamental theorem of algebra and Gershgorin's Theorem are proved for commutative elliptic octonion matrices. Finally, some examples related to our theorems are provided.
dc.language	English
dc.language.iso	eng
dc.publisher	OVIDIUS UNIV PRESS
dc.relation.isversionof	10.2478/auom-2022-0009
dc.subject	Mathematics
dc.subject	Elliptic octonion matrices
dc.subject	consimilarity
dc.subject	Gershgorin disk
dc.subject	Primary 12A27
dc.subject	13A99
dc.subject	Secondary 15A18
dc.title	A Study on Commutative Elliptic Octonion Matrices
dc.type	Article
dc.identifier.volume	30
dc.identifier.startpage	151
dc.identifier.endpage	169
dc.relation.journal	ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
dc.identifier.issue	1
dc.identifier.doi	10.2478/auom-2022-0009
dc.identifier.eissn	1844-0835
dc.contributor.author	Surekci, Arzu Cihan
dc.contributor.author	Gungor, Mehmet Ali
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights.openaccessdesignations	gold