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52  Articles
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This article discusses the commutation matrix in the Kronecker quaternion group; that is, a non-abelian group whose 32 elements are matrices of 4 × 4 size, with entries in the set of complex numbers. The purpose of this paper is to describe the commutatio... see more

In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.

Recognizing the objects in complex natural scenes is the challenging task as the object may be occluded, may vary in shape, position and in size. In this paper a method to recognize objects from different categories of images using quaternionic wavelet tr... see more

In 2016, Yüce and Torunbalci Aydin (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third... see more

Superluminal electromagnetic fields of dyons are described in T^{4}- space and Quaternion formulation of various quantum equations is derived. It is shown that on passing from subluminal to superluminal realm via quaternion the theory of dyons becomes the... see more

Este trabalho investiga a complexificação do modelo de Fibonacci através do estudo sobre os Quaternions. Assim, são apresentadas as definições para os Quaternions de Fibonacci tanto na forma real como complexa. Nesse sentido, a Fórmula de Binet e matrizes... see more

Ada beberapa sifat nilai eigen di matriks riil yang berlaku juga di matriks quaternion namundengan syarat tertentu. Penelitian ini bertujuan merumuskan sifat dan karakteristik nilai eigensisi kanan atas matriks quaternion. Penelitian ini dilakukan dengan ... see more

In this paper, an effective formula for the calculation of the elementary functions of a quaternion variable obtained using the methods of differential equations. Also the elementary functions are obtained from the quaternion matrices.

The application of non-Hamiltonian unnormalized quaternions of half-rotation in algorithmsof strapdown inertial systems is considered in the article. Non-Hamiltonian unnormalized quaternionscan be zero in contrast to the classical Hamiltonian normalized q... see more

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