Tridiagonal ۳-Toeplitz Matrices

This paper gives an answer by presenting of eigenvalues for real tridiagonal ۳-Toeplitzmatrices of different order. It surveys the central results of the theory by nding rootsof a combination of Chebyshev polynomials of the second kind. This answer solves theeigenproblem for integer powers of such matrices.

Keywords:

۳-Toeplitz matrix , Chebyshev Polynomials , Eigenvalue