|Authors||Arya Aghili Ashtiani, P. Raja, S. K. Y. Nikravesh|
|Journal||Journal of Nonlinear Sciences and Applications (JNSA)|
|Paper Type||Full Paper|
|Journal Country||Iran, Islamic Republic Of|
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.
Cite this article
Arya Aghili-Ashtiani, Pandora Raja, Sayyed Kamaloddin Yadavar Nikravesh, Various symmetries in matrix theory with application to modeling dynamic systems, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 1, 63-69. http://dx.doi.org/10.22436/jnsa.007.01.07