On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even order

Journal of Linear and Topological Algebra

دوره 10، شماره 01، خرداد 2021، صفحه 59-69   

نوع مقاله: Research Paper

نویسندگان

M. Beiranvand؛ M. Ghasemi Kamalvand^*

Department of Mathematics, Lorestan University, Khorramabad, Iran

چکیده

In this paper, firstly we derive a general expression for the $m$th power ($m\in\mathbb{N}$)  for one type of tridiagonal matrices of even order.  Secondly we present a method  for computing integer powers of the  antitridiagonal  matrices that is corresponding with these matrices. Then, we present some examples to illustrate our results and  give Maple 18 procedure in order to verify our calculations

کلیدواژه‌ها

Tridiagonal matrices؛ eigenvalues؛ eigenvectors؛ Jordan's form؛ matrix powers

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