Various symmetries in matrix theory with application to modeling dynamic systems
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Authors
Arya Aghili Ashtiani
- Department of Electrical and Computer Engineering, Abbaspour College of Engineering, Shahid Beheshti University, Tehran, Iran.
Pandora Raja
- Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Sayyed Kamaloddin Yadavar Nikravesh
- Department of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran.
Abstract
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.
Share and Cite
ISRP Style
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
AMA Style
Ashtiani Arya Aghili, Raja Pandora, Nikravesh Sayyed Kamaloddin Yadavar, Various symmetries in matrix theory with application to modeling dynamic systems. J. Nonlinear Sci. Appl. (2014); 7(1):63--69
Chicago/Turabian Style
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 Applications, 7, no. 1 (2014): 63--69
Keywords
- Special symmetry
- symmetric matrices
- mathematical modeling.
MSC
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