In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known
identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these …

In this paper, we introduce a new quadruple number sequence by means of Leonardo
numbers, which we call ordered Leonardo quadruple numbers. We determine the properties …

In this paper, we consider split quaternions and split quaternion matrices. Firstly, we give
some properties of split quaternions. After that we investigate split quaternion matrices using …

The aim of this paper is to study the generalized quaternions, Hαβ, and their basic
properties. Hαβ has a generalized inner product that allows us to identify it with four …

On Eigenvalues of Split Quaternion Matrices Page 1 Adv. Appl. Clifford Algebras 23 (2013),
615–623 © 2013 Springer Basel 0188-7009/030615-9 published online May 26, 2013 DOI …

In this paper, we discuss Hermitian solutions of split quaternion matrix equation AXB+ CXD=
E, AXB+ CXD= E, where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E …

In this paper, we propose a definition of block tensors and the real representation of tensors.
Equipped with the simplification method, ie, the real representation along with the MP …

In this paper, we investigate the necessary and sufficient conditions for solving a dual split
quaternion matrix equation AXB= C, and present the general solution expression when the …

This paper is concerned with the study of the iteration of the quadratic coquaternionic map fc
(q)= q 2+ c, where c is a fixed coquaternionic parameter. The fixed points and periodic points …

We design several real representations of split quaternion matrices with the primary
objective of establishing both necessary and sufficient conditions for the existence of …