The exponential functions of central-symmetric $X$-form matrices

نویسندگان

  • Amir Sadeghi Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran
  • Maryam Shams Solary Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
چکیده مقاله:

It is well known that the matrix exponential function has practical applications in engineering and applied sciences. In this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $X$-form. For instance, $e^{mathbf{A}t}$, $t^{mathbf{A}}$ and $a^{mathbf{A}t}$ will be evaluated by the new formulas in this particular structure. Moreover, upper bounds for the explicit relations will be given via subordinate matrix norms. Eventually, some numerical illustrations and applications are also adapted.

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the exponential functions of central-symmetric $x$-form matrices

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عنوان ژورنال

دوره 4  شماره 1

صفحات  19- 34

تاریخ انتشار 2016-08-01

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