Various symmetries in matrix theory with application to modeling dynamic systems

Volume 7, Issue 1, pp 63--69 http://dx.doi.org/10.22436/jnsa.007.01.07

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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.

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Keywords

• Special symmetry
• symmetric matrices
• mathematical modeling.

MSC

•  47H10
•  54H25

References

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