Real matrix representations of complex split quaternions with applications

Erdogdu M., ÖZDEMİR M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.43, sa.12, ss.7227-7238, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 12
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/mma.6461
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7227-7238
  • Anahtar Kelimeler: complex split quaternion, split Fibonacci quaternion, split quaternion, EQUATIONS, ROTATIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we introduce 8x8 real matrix representations of complex split quaternions. Then, the relations between real matrix representations of split and complex split quaternions are stated. Moreover, we investigate some linear split and complex split quaternionic equations with split Fibonacci and complex split Fibonacci quaternion coefficients. Finally, we also give some numerical examples as applications of real matrix representation of complex split quaternions.