A Study on Commutative Elliptic Octonion Matrices-Reference-Cited by-同舟云学术

A Study on Commutative Elliptic Octonion Matrices

Published:2022-02-01 Issue:1 Volume:30 Page:151-169
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Sürekçi Arzu Cihan¹,Güngör Mehmet Ali¹

Affiliation:

1. Department of Mathematics , Sakarya University , Sakarya , Turkey .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2022-0009

Reference18 articles.

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2. [2] J.C. Baez, The octonions, Bulletin of the American Mathematical Society 39 (2001), 145-205.10.1090/S0273-0979-01-00934-X

3. [3] D. Calvetti, L. Reichel, Application of ADI iterative methods to the restoration of noisy images, SIAM Journal on Matrix Analysis and Applications 17 (1996), 165-186.10.1137/S0895479894273687

4. [4] A. Cihan, M.A. Güngör, Commutative octonion matrices, 9th International Eurasian Conference on Mathematical Sciences and Applications, Skopje, 2020.

5. [5] A. Sürekçi, M.A. Güngör, Commutative elliptic octonions, 10th International Eurasian Conference on Mathematical Sciences and Applications, Turkey, 2021.

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