Various Symmetries in Matrix Theory with Application to Modeling Dynamic Systems

AuthorsArya Aghili Ashtiani, P. Raja, S. K. Y. Nikravesh
JournalJournal of Nonlinear Sciences and Applications (JNSA)
Page number63-69
Serial number1
Volume number7
IF1.176 (2015)
Paper TypeFull Paper
Published At2014
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal Index10.22436/jnsa.007.01.07


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.

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