JOURNAL ARTICLE

An algorithm for solution of the Sylvester s‐conjugate linear equation for the commutative elliptic octonions.

  • Published In: Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 17. P. 18300 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Sürekçi, Arzu; Ali Güngör, Mehmet 3 of 3

Abstract

In this study, firstly, algebraic properties for commutative elliptic octonions are studied. Then the definition and theorems related to similarity, consimilarity, semisimilarity, and consemisimilarity are given. The matrix algebra for commutative elliptic octonions is established. The Sylvester 7‐conjugate equation is solved in the commutative elliptic octonion space through an isomorphism established between the set of matrices and the set of commutative elliptic octonions. Additionally, an example is provided to support this solution. Finally, an algorithm is written for solving the Sylvester 7‐conjugate equation. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2023/11, Vol. 46, Issue 17, p18300
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0170-4214
  • DOI:10.1002/mma.9558
  • Accession Number:173586046
  • Copyright Statement:Copyright of Mathematical Methods in the Applied Sciences is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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