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

In [8], the authors obtained the non-zero solutions of the equation A(x)=0, in Lorentzian space where A is a skew-symmetric matrix corresponding to the linear map A and got normal forms of the skew-symmetric matrix A, depending on the causal characters of the vector x. Taking into consideration the...

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Main Authors: Tuhahan Turhan, Y.Emre Göktepe, Nihat Ayyıldız
Format: Article
Language:English
Published: Düzce University 2017-07-01
Series:Düzce Üniversitesi Bilim ve Teknoloji Dergisi
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Online Access:https://dergipark.org.tr/tr/pub/dubited/issue/30665/331716?publisher=duzce
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author Tuhahan Turhan
Y.Emre Göktepe
Nihat Ayyıldız
author_facet Tuhahan Turhan
Y.Emre Göktepe
Nihat Ayyıldız
author_sort Tuhahan Turhan
collection DOAJ
description In [8], the authors obtained the non-zero solutions of the equation A(x)=0, in Lorentzian space where A is a skew-symmetric matrix corresponding to the linear map A and got normal forms of the skew-symmetric 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.
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institution Kabale University
issn 2148-2446
language English
publishDate 2017-07-01
publisher Düzce University
record_format Article
series Düzce Üniversitesi Bilim ve Teknoloji Dergisi
spelling doaj-art-0902ef02429b454bb2e4f9f78ddb28812025-08-20T03:55:29ZengDüzce UniversityDüzce Üniversitesi Bilim ve Teknoloji Dergisi2148-24462017-07-015261162197Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian SpacesTuhahan TurhanY.Emre GöktepeNihat AyyıldızIn [8], the authors obtained the non-zero solutions of the equation A(x)=0, in Lorentzian space where A is a skew-symmetric matrix corresponding to the linear map A and got normal forms of the skew-symmetric 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.https://dergipark.org.tr/tr/pub/dubited/issue/30665/331716?publisher=duzcelorentz spaceskew symmetric matrixvector fieldmatlab
spellingShingle Tuhahan Turhan
Y.Emre Göktepe
Nihat Ayyıldız
Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
lorentz space
skew symmetric matrix
vector field
matlab
title Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
title_full Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
title_fullStr Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
title_full_unstemmed Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
title_short Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
title_sort matlab applications for skew symmetric matrices and integral curves in lorentzian spaces
topic lorentz space
skew symmetric matrix
vector field
matlab
url https://dergipark.org.tr/tr/pub/dubited/issue/30665/331716?publisher=duzce
work_keys_str_mv AT tuhahanturhan matlabapplicationsforskewsymmetricmatricesandintegralcurvesinlorentzianspaces
AT yemregoktepe matlabapplicationsforskewsymmetricmatricesandintegralcurvesinlorentzianspaces
AT nihatayyıldız matlabapplicationsforskewsymmetricmatricesandintegralcurvesinlorentzianspaces