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Browsing Makale Koleksiyonu by Author "Kösal, Hidayet Hüda"

Browsing Makale Koleksiyonu by Author "Kösal, Hidayet Hüda"

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  • Commutative Quaternion Matrices 
    Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate ...
  • Fibonacci Generalized Quaternions 
    Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    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 quaternions. Furthermore, the Fibonacci ...
  • On the Consimilarity of Split Quaternions and Split Quaternion Matrices 
    Kösal, Hidayet Hüda; Akyiğit, Mahmut; Tosun, Murat (OVIDIUS UNIV PRESS, 2016)
    In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In this regard, we examine the solvability conditions and general solutions of the equations a (x) over tilde= ...
  • Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices 
    Kösal, Hidayet Hüda; Tosun, Murat (OVIDIUS UNIV PRESS, 2017)
    In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra ...
  • Split Fibonacci Quaternions 
    Akyiğit, Mahmut; Tosun, Murat; Kösal, Hidayet Hüda (SPRINGER BASEL AG, 2013)
    Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related ...
  • Universal similarity factorization equalities for commutative quaternions and their matrices 
    Kösal, Hidayet Hüda; Tosun, Murat (TAYLOR & FRANCIS LTD, 2019)
    In this work, we have established universal similarity factorization equalities over the commutative quaternions and their matrices. Based on these equalities, real matrix representations of commutative quaternions and ...