The exponential functions of central-symmetric X-form matrices

سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 83

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شناسه ملی سند علمی:

JR_JMMO-4-1_002

تاریخ نمایه سازی: 19 خرداد 1403

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.

کلیدواژه ها:

central-symmetric matrix ، matrix function ، matrix exponential ، Gamma and Beta matrix functions

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 ۱۹۳۹۵-۳۶۹۷, Tehran, Iran