- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 72 Issue: 1
- New insight into quaternions and their matrices
New insight into quaternions and their matrices
Authors : Gülsüm Yeliz Şentürk, Nurten Gürses, Salim Yüce
Pages : 43-58
Doi:10.31801/cfsuasmas.1074557
View : 10 | Download : 4
Publication Date : 2023-03-30
Article Type : Research
Abstract :This paper aims 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. An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part.Keywords : Generalized quaternion, generalized complex number, matrix representation, elliptic number.