48 citations · 120 across the 16 of their papers we have counts for
17 papers
Consimilarity of Split Quaternion Matrices and a Solution of the Split Quaternion Matrix Equation X-AX_B=C
Hidayet Huda Kosal, Mahmut Akyigit, Murat Tosun
In this paper, the consimilarity of complex matrices is generalized for the split quaternions. In this regard, coneigenvalue and coneigenvector are defined for split quaternion mat…
Commutative Quaternion Matrices
Hidayet Hüda Kösal, Murat Tosun
In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilt…
A Note on Inextensible Flows of Curves in E^n,1
Önder Gökmen Yıldız, Murat Tosun
In this paper, we study inextensible flows of non-null curves in E^n,1. We give necessary and sufficient conditions for inextensible flow of nonnull curves in E^n,1.
Spinor Frenet Equations in Three Dimensional Lie Groups
O. Zeki Okuyucu, Ö. Gökmen Yıldız, Murat Tosun
In this paper, we study spinor Frenet equations in three dimensional Lie Groups with a bi-invariant metric. Also, we obtain spinor Frenet equations for special cases of three dimen…
Spinor Darboux Equations of Curves in Euclidean 3-Space
İlİm KİŞİ, Murat Tosun
In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between the spinor formulation of Frenet frame and Darboux frame are obta…
Spinor Bishop Equations of Curves in Euclidean 3-Space
Dogan Unal, Ilim Kisi, Murat Tosun
In this paper, we study spinor Bishop equations of curves in E^3. We research the spinor formulations of curves according to Bishop frames in E^3. Also, the relation between spinor…