• English
    • Türkçe
  • English 
    • English
    • Türkçe
  • Login
View Item 
  •   DSpace Home
  • Akademik Arşiv / Institutional Repository
  • Mühendislik Fakültesi / Faculty of Engineering
  • Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
  • View Item
  •   DSpace Home
  • Akademik Arşiv / Institutional Repository
  • Mühendislik Fakültesi / Faculty of Engineering
  • Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions

Thumbnail
View/Open
On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions (292.8Kb)
Date
2014
Author
Özdemir, Mustafa
Erdoğdu, Melek
Şimşek, Hakan
Metadata
Show full item record
Abstract
In this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the corresponding unit timelike split quaternion. We give the characterizations of eigenvalues (complex or real) of a rotation matrix in Minkowski 3 space according to only first component of the corresponding quaternion. Moreover, we find that the casual characters of rotation axis depend only on first component of the corresponding quaternion. Finally, we give the way to generate an orthogonal basis for 𝔼31 by using eigenvectors of a rotation matrix.
URI
http://hdl.handle.net/20.500.12566/449
Collections
  • Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
  • Scopus İndeksli Yayınlar Koleksiyonu
  • WOS İndeksli Yayınlar Koleksiyonu

DSpace software copyright © 2002-2016  DuraSpace
Contact Us | Send Feedback
Theme by 
Atmire NV
 

 




sherpa/romeo


Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeABU AuthorWOSScopusPubMedTRDizinErişimThis CollectionBy Issue DateAuthorsTitlesSubjectsTypeABU AuthorWOSScopusPubMedTRDizinErişim

My Account

LoginRegister

DSpace software copyright © 2002-2016  DuraSpace
Contact Us | Send Feedback
Theme by 
Atmire NV
 

 


|| Library || Antalya Bilim Üniversitesi || OAI-PMH ||

Antalya Bilim Üniversitesi Kütüphane ve Dokümantasyon Müdürlüğü, Antalya, Turkey
İçerikte herhangi bir hata görürseniz, lütfen bildiriniz: acikerisim@antalya.edu.tr

DSpace Repository:


DSpace 6.4-SNAPSHOT

Gemini Bilgi Teknolojileri A.Ş tarafından destek verilmektedir.