On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even order
الموضوعات :
M. Beiranvand
1
(Department of Mathematics, Lorestan University, Khorramabad, Iran)
M. Ghasemi Kamalvand
2
(Department of Mathematics, Lorestan University, Khorramabad, Iran)
الکلمات المفتاحية: Eigenvalues, Tridiagonal matrices, eigenvectors, Jordan's form, matrix powers,
ملخص المقالة :
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
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