Work

New insight into quaternions and their matrices

Year: 2023

Type: article

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.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1074557

Authors: Gülsüm Yeliz Şentürk, Nurten Gürses, Salim Yüce

Institutions: İstanbul Gelişim Üniversitesi, Yıldız Technical University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4360614607

FWCI:

Cites: 47

Cited by:

Related to: 10