Transformations computations‎: ‎Power‎, ‎Roots and Inverse

Journal of Linear and Topological Algebra

مقاله 3، دوره 07، شماره 01، خرداد 2018، صفحه 21-38   

نوع مقاله: Research Paper

نویسندگان

M. Ghorbanzadeh¹؛ H. Kamali^{* 2}؛ A. Mansoori³

¹Department of Basic Science, Imam Reza International University, Mashhad, Iran

²Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

³Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

چکیده

‎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.

کلیدواژه‌ها

‎‎Annihilated elements‎؛ ‎matrix power‎؛ ‎inverse matrix‎؛ ‎matrix roots‎‏

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