Similarity and consimilarity of hyper-dual generalized quaternions
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The aim of this paper is to investigate similarity and consimilarity of hyper-dual generalized quaternions and their matrices. For this purpose, we give different conjugates according to the generalized quaternionic units i,j,k. We present i-consimilarity of hyper-dual generalized quaternions and their matrices except hyper-dual (1)/(4)-quaternions. For the generalization consisting of hyper-dual coefficients quaternion and split quaternion, we search j-consimilarity and k-consimilarity with the help of j-conjugate and k-conjugate. We also give i,j,k-coneigenvalues and i,j,k-coneigenvectors of the matrices of these generalizations. In addition, we examine right coneigenvalue problem in generalized quaternion matrices for real and split quaternions. The complex matrix representation obtained through the complex adjoint matrix representation of this generalization is introduced, and its properties are presented. Besides, we give algebraic methods for the concept of right coneigenvalues and coneigenvectors for matrices, which are the generalization of real quaternion and split quaternion.
Açıklama
Anahtar Kelimeler
coneigenvalue, coneigenvector, hyper-dual generalized quaternion, i-consimilarity, j-consimilarity, k-consimilarity, similarity
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
48
Sayı
3
