<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

A Study on Commutative Elliptic Octonion Matrices

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A Study on Commutative Elliptic Octonion Matrices"}

In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate...

A Study on Commutative Elliptic Octonion Matrices

Published Online: Mar 12, 2022

Page range: 151 - 169

Received: May 07, 2021

Accepted: Aug 15, 2021

DOI: https://doi.org/10.2478/auom-2022-0009

Keywords
Elliptic octonion matrices, consimilarity, Gershgorin disk

© 2022 Arzu Cihan Sürekçi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Study on Commutative Elliptic Octonion Matrices

Published Online: Mar 12, 2022

Page range: 151 - 169

Received: May 07, 2021

Accepted: Aug 15, 2021

DOI: https://doi.org/10.2478/auom-2022-0009

KeywordsElliptic octonion matrices, consimilarity, Gershgorin disk

© 2022 Arzu Cihan Sürekçi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Elliptic octonion matrices, consimilarity, Gershgorin disk