Article
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New Insight into Quaternions and Their Matrices
Version 1
: Received: 15 April 2021 / Approved: 19 April 2021 / Online: 19 April 2021 (22:00:00 CEST)
How to cite: Şentürk, G.Y.; Gürses, N.; Yüce, S. New Insight into Quaternions and Their Matrices. Preprints 2021, 2021040519 (doi: 10.20944/preprints202104.0519.v1). Şentürk, G.Y.; Gürses, N.; Yüce, S. New Insight into Quaternions and Their Matrices. Preprints 2021, 2021040519 (doi: 10.20944/preprints202104.0519.v1).
Abstract
The aim of this paper is to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix representations and computational results are introduced. As a crucial part, alternative approach for generalized quaternion matrix with elliptic number entries are developed.
Keywords
Generalized quaternion, generalized complex number, matrix representation.
Subject
MATHEMATICS & COMPUTER SCIENCE, General Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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