Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces

TURHAN, Tunahan; AYYILDIZ, Nihat; GÖKTEPE, Y. Emre

Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces

Tunahan TURHAN, (Vocational School of Technical Sciences, Süleyman Demirel University, Isparta, TURKEY)

Y. Emre GÖKTEPE, (Necmettin Erbakan University, Seydişehir Vocational School, 42360 Konya, TURKEY)

Nihat AYYILDIZ (Süleyman Demirel University, Department of Mathematics, 32260 Isparta, TURKEY)

Düzce Üniversitesi Bilim ve Teknoloji Dergisi

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Yıl: 2017 Cilt: 5 Sayı: 2 Sayfa Aralığı: 610 - 621 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces

Öz:

[8] de, yazarlar (2n+1) boyutlu Lorentz uzayında, A matrisi A lineer dönüşümüne karşılık gelen anti-simetrik matris olmak üzere, A(x)=0 denkleminin sıfırdan farklı çözümlerini ve x vektörünün kosul karakterlerine göre A anti-simetrik matrisinin normal formlarını elde ettiler. Bu çalışmada, A matrisinin yapısı göz önüne alınarak, antisimetrik matrislerin normal formları için bazı Matlab uygulamaları ve Matlab kodları üretildi. Ayrıca bu uzayda çözümleri lineer vektör alanlarının integral eğrilerine karşılık gelen birinci mertebeden lineer diferansiyel denklem sistemleri için Matlab kodları verildi. Dahası özel durumlar ve x vektörünün kosul karakterlerine göre Matlab uygulamaları yapıldı.

Anahtar Kelime:

Lorentz Uzaylarında Anti-simetrik Matrisler ve İntegral Eğrileri İçinMatlab Uygulamaları

Öz:

In [8], the authors obtained the non-zero solutions of the equation A(x)=0, 2 1 1 , n x E ? ? in Lorentzian space 2 1 1 , n E ? where A is a skew-symmetric matrix corresponding to the linear map A and got normal forms of the skewsymmetric matrix A, depending on the causal characters of the vector x. Taking into consideration the structure of the matrix A, we generate Matlab codes and make some Matlab applications for normal form of skew-symmetric matrix. Also, we give some Matlab codes for the linear first order system of differantial equations which the solution of the system gives rise to integral curves of linear vector fields in such a space. Moreover, we give some application with respect to special case of n and causal characters of the vector x for Matlab.

Anahtar Kelime:

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

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APA	TURHAN T, GÖKTEPE Y, AYYILDIZ N (2017). Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. , 610 - 621.
Chicago	TURHAN Tunahan,GÖKTEPE Y. Emre,AYYILDIZ Nihat Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. (2017): 610 - 621.
MLA	TURHAN Tunahan,GÖKTEPE Y. Emre,AYYILDIZ Nihat Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. , 2017, ss.610 - 621.
AMA	TURHAN T,GÖKTEPE Y,AYYILDIZ N Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. . 2017; 610 - 621.
Vancouver	TURHAN T,GÖKTEPE Y,AYYILDIZ N Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. . 2017; 610 - 621.
IEEE	TURHAN T,GÖKTEPE Y,AYYILDIZ N "Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces." , ss.610 - 621, 2017.
ISNAD	TURHAN, Tunahan vd. "Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces". (2017), 610-621.

APA	TURHAN T, GÖKTEPE Y, AYYILDIZ N (2017). Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 5(2), 610 - 621.
Chicago	TURHAN Tunahan,GÖKTEPE Y. Emre,AYYILDIZ Nihat Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi 5, no.2 (2017): 610 - 621.
MLA	TURHAN Tunahan,GÖKTEPE Y. Emre,AYYILDIZ Nihat Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi, vol.5, no.2, 2017, ss.610 - 621.
AMA	TURHAN T,GÖKTEPE Y,AYYILDIZ N Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi. 2017; 5(2): 610 - 621.
Vancouver	TURHAN T,GÖKTEPE Y,AYYILDIZ N Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces. Düzce Üniversitesi Bilim ve Teknoloji Dergisi. 2017; 5(2): 610 - 621.
IEEE	TURHAN T,GÖKTEPE Y,AYYILDIZ N "Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces." Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 5, ss.610 - 621, 2017.
ISNAD	TURHAN, Tunahan vd. "Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces". Düzce Üniversitesi Bilim ve Teknoloji Dergisi 5/2 (2017), 610-621.