Geodesic
Various symmetries in matrix theory with application to modeling dynamic systems
Ashtiani, Arya Aghili1 ; Raja, Pandora2 ; Nikravesh, Sayyed Kamaloddin Yadavar3
1 Department of Electrical and Computer Engineering, Abbaspour College of Engineering, Shahid Beheshti University, Tehran, Iran
2 Department of Mathematics, Shahid Beheshti University, Tehran, Iran
3 Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 63-69.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we recall centrally symmetric matrices and introduce some new kinds of symmetric matrices such as row-wise symmetric matrices, column-wise symmetric matrices, and plus symmetric matrices. The relations between these kinds of matrices are also presented. Furthermore, a useful result is obtained about the types of the eigenvectors of centrally symmetric matrices leading to a limit-wise relation between centrally symmetric matrices and plus symmetric matrices which can be applied to mathematical modeling of dynamical systems in engineering applications.
DOI : 10.22436/jnsa.007.01.07
Classification : 47H10, 54H25
Keywords: Special symmetry, symmetric matrices, mathematical modeling.

Ashtiani, Arya Aghili 1 ; Raja, Pandora 2 ; Nikravesh, Sayyed Kamaloddin Yadavar 3

1 Department of Electrical and Computer Engineering, Abbaspour College of Engineering, Shahid Beheshti University, Tehran, Iran
2 Department of Mathematics, Shahid Beheshti University, Tehran, Iran
3 Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran 
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Ashtiani, Arya Aghili; Raja, Pandora; Nikravesh, Sayyed Kamaloddin Yadavar. Various symmetries in matrix theory with application to modeling dynamic systems. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 63-69. doi : 10.22436/jnsa.007.01.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.01.07/

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