Circulant $m$-Diagonal Matrices Associated with Chebyshev Polynomials

نویسندگان

چکیده

In this study, we deal with an $m$ banded circulant matrix, generally called $m$-diagonal matrix. This special family of matrices arise in many applications such as prediction, time series analysis, spline approximation, difference solution partial differential equations, and so on. We firstly obtain the statements eigenvalues eigenvectors matrix based on Chebyshev polynomials first second kind. Then present efficient formula for integer powers depending mentioned above. Finally, some illustrative examples are given by using maple software, one computer algebra systems (CAS).

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ژورنال

عنوان ژورنال: Fundamental journal of mathematics and applications

سال: 2021

ISSN: ['2645-8845']

DOI: https://doi.org/10.33401/fujma.809913