Transformations computations‎: ‎Power‎, ‎Roots and Inverse

محورهای موضوعی : Complex Analysis

M. Ghorbanzadeh ¹ (Department of Basic Science, Imam Reza International University, Mashhad, Iran)
H. Kamali ² (Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran)
A. Mansoori ³ (Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran)

تاریخ دریافت : 1395/12/05 تاریخ پذیرش : 1396/11/21 تاریخ انتشار : 1396/12/10

کلید واژه: &lrm, &lrm, Annihilated elements&lrm, , &lrm, matrix power&lrm, , &lrm, inverse matrix&lrm, , &lrm, matrix roots&lrm, &rlm, ,

چکیده مقاله :

‎This paper presents some results of an annihilated element in Banach algebra‎, ‎and in specific case‎, ‎for any square matrix‎. The developed method significantly improves the computational aspects of transformations calculus and especially for finding powers and roots of any annihilated element‎. ‎An example is given to compare the proposed method with some other methods to show the efficiency and performance‎.

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