On exponential of split quaternionic matrices

Erdogdu M., ÖZDEMİR M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.315, ss.468-476, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 315
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.amc.2017.08.007
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.468-476
  • Anahtar Kelimeler: Quaternion, Split quatemion, Quaternion matrix, EIGENVALUES, ROTATIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The exponential of a matrix plays an important role in the theory of Lie groups. The main purpose of this paper is to examine matrix groups over the split quaternions and the exponential map from their Lie algebras into the groups. Since the set of split quaternions is a noncommutative algebra, the way of computing the exponential of a matrix over the split quaternions is more difficult than calculating the exponential of a matrix over the real or complex numbers. Therefore, we give a method of finding exponential of a split quaterriion matrix by its complex adjoint matrix. (C) 2017 Elsevier Inc. All rights reserved.