On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even order
محورهای موضوعی : Linear and multilinear algebra; matrix theoryM. Beiranvand 1 , M. Ghasemi Kamalvand 2
1 - Department of Mathematics, Lorestan University, Khorramabad, Iran
2 - Department of Mathematics, Lorestan University, Khorramabad, Iran
کلید واژه: Eigenvalues, Tridiagonal matrices, eigenvectors, Jordan's form, matrix powers,
چکیده مقاله :
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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