A Study on Commutative Elliptic Octonion Matrices

Arzu Cihan Sürekçi; Mehmet Ali Güngör

doi:10.2478/auom-2022-0009

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A Study on Commutative Elliptic Octonion Matrices

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 1 (February 2022)

By: Arzu Cihan Sürekçi and Mehmet Ali Güngör

Open Access

|Mar 2022

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0009 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 151 - 169

Submitted on: May 7, 2021

Accepted on: Aug 15, 2021

Published on: Mar 12, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Elliptic octonion matrices,

Related subjects:

© 2022 Arzu Cihan Sürekçi, Mehmet Ali Güngör, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 1 (February 2022)