Formulas for the exponential of a semi skew-symmetric matrix of order 4

Karacan, Murat Kemal; yaylı, yusuf; KULA, Levent

Formulas for the exponential of a semi skew-symmetric matrix of order 4

Levent KULA, (Ankara Üniversitesi, Fen Fakültesi, Mikrobiyoloji Bölümü, Ankara, Türkiye)

Murat Kemal KARACAN, (Ankara Üniversitesi, Fen Fakültesi, Mikrobiyoloji Bölümü, Ankara, Türkiye)

Yusuf YAYLI (Ankara Üniversitesi, Fen Fakültesi, Mikrobiyoloji Bölümü, Ankara, Türkiye)

Mathematical and Computational Applications

1 0

Yıl: 2005 Cilt: 10 Sayı: 1 Sayfa Aralığı: 99 - 104 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Formulas for the exponential of a semi skew-symmetric matrix of order 4

Öz:

In this paper the formula of the exponential matrix $e^A$ when A is a semi skew-symmetric real matrix of order 4 is derived. The formula is a generalization of the Rodrigues formula for skew-symmetric matrices of order 3 in Minkowski 3-space.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

1.R. A. Horn and C. R.Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge, England, 1986.
2.L .Kula, Split Quaternions and Geometrical Applications. Ankara University Graduate School and The Natural Science. Ph.D Thesis, 2003.
3.T. Politi, A Formula for the Exponential of A Real Skew-Symmetric Matrix of Order 4.BIT , Numeric Analysis 41, 842-845, 2001.

APA	KULA L, Karacan M, yaylı y (2005). Formulas for the exponential of a semi skew-symmetric matrix of order 4. , 99 - 104.
Chicago	KULA Levent,Karacan Murat Kemal,yaylı yusuf Formulas for the exponential of a semi skew-symmetric matrix of order 4. (2005): 99 - 104.
MLA	KULA Levent,Karacan Murat Kemal,yaylı yusuf Formulas for the exponential of a semi skew-symmetric matrix of order 4. , 2005, ss.99 - 104.
AMA	KULA L,Karacan M,yaylı y Formulas for the exponential of a semi skew-symmetric matrix of order 4. . 2005; 99 - 104.
Vancouver	KULA L,Karacan M,yaylı y Formulas for the exponential of a semi skew-symmetric matrix of order 4. . 2005; 99 - 104.
IEEE	KULA L,Karacan M,yaylı y "Formulas for the exponential of a semi skew-symmetric matrix of order 4." , ss.99 - 104, 2005.
ISNAD	KULA, Levent vd. "Formulas for the exponential of a semi skew-symmetric matrix of order 4". (2005), 99-104.

APA	KULA L, Karacan M, yaylı y (2005). Formulas for the exponential of a semi skew-symmetric matrix of order 4. Mathematical and Computational Applications, 10(1), 99 - 104.
Chicago	KULA Levent,Karacan Murat Kemal,yaylı yusuf Formulas for the exponential of a semi skew-symmetric matrix of order 4. Mathematical and Computational Applications 10, no.1 (2005): 99 - 104.
MLA	KULA Levent,Karacan Murat Kemal,yaylı yusuf Formulas for the exponential of a semi skew-symmetric matrix of order 4. Mathematical and Computational Applications, vol.10, no.1, 2005, ss.99 - 104.
AMA	KULA L,Karacan M,yaylı y Formulas for the exponential of a semi skew-symmetric matrix of order 4. Mathematical and Computational Applications. 2005; 10(1): 99 - 104.
Vancouver	KULA L,Karacan M,yaylı y Formulas for the exponential of a semi skew-symmetric matrix of order 4. Mathematical and Computational Applications. 2005; 10(1): 99 - 104.
IEEE	KULA L,Karacan M,yaylı y "Formulas for the exponential of a semi skew-symmetric matrix of order 4." Mathematical and Computational Applications, 10, ss.99 - 104, 2005.
ISNAD	KULA, Levent vd. "Formulas for the exponential of a semi skew-symmetric matrix of order 4". Mathematical and Computational Applications 10/1 (2005), 99-104.