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.

Arzu Cihan Sürekçi

Mehmet Ali Güngör

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

该杂志由 MIRELA STEFANESCU 和 SILVIU SBURLAN 于 1993 年创立，致力于纯数学和应用数学。由罗马尼亚康斯坦察奥维迪乌斯大学数学和计算机科学学院出版。

The journal "Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica" was founded in 1993 by MIRELA STEFANESCU and SILVIU SBURLAN, focusing on research in pure and applied mathematics. It is published by the Faculty of Mathematics and Computer Science at Ovidius University in Constanta, Romania.

《Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica》杂志由MIRELA STEFANESCU和SILVIU SBURLAN于1993年创立，专注于纯数学和应用数学的研究。该杂志由罗马尼亚康斯坦察的奥维迪乌斯大学数学与计算机科学学院出版。

Category	Quartile
数学	4
数学, 数学	4
数学, 应用数学	4

A Study on Commutative Elliptic Octonion Matrices

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	3