Finding n-th Roots of a 2 x 2 Real Matrix Using De Moivre's Formula
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.29, sa.1, 2019 (SCI-Expanded, Scopus)
- 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.