MERUMUSKAN PERHITUNGAN HASIL PANGKAT BILANGAN BULAT POSITIF MATRIKS TRIDIAGONAL

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Date

2022-12

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Elfitra

Abstract

This article disccuses a new approach to evaluate the integer positive powers from tridiagonal matrices by using Chebyshev polynomials in two cases, when the tridi- agonal matrix has even order n = 2p and the tridiagonal matrix has odd order n = 2p + 1 with p 2 N. In addition, this article also aims to show how the Cheby- shev polynomial can be used to determine the formulation of the transformation matrix and the inverse of the transformation matrix.

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Keywords

Chebyshev polynomial, telescoping series, characteristic polynomial, eigenvalue, tridiagonal matrix

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