Finding n-th Roots of a 2 x 2 Real Matrix Using De Moivre's Formula

ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.29, sa.1, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00006-018-0919-y
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Hybrid Numbers, Roots of Matrices, De Moivre Formulas, NEWTON METHOD
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, we give a new method for finding n-th roots of a 2x2 real matrix with the help of hybrid numbers. We define argument and polar forms of a 2x2 matrix and express the De Moivre's formulas according to the type and character of the matrix.