Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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.

Subject Areas

Generalized quaternion, generalized complex number, matrix representation.

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