Computational Aspects of Determinant and Inverse of Tridiagonal Toeplitz Matrix
Yohanes Mario Defianus Beti *
Magister Applied Mathematics, Faculty of Mathematics and Natural Sciences, IPB University, Indonesia.
Sugi Guritman
Division of Pure Mathematics, Department Mathematics, IPB University, Indonesia.
Jaharuddin
Division of Pure Mathematics, Department Mathematics, IPB University, Indonesia.
*Author to whom correspondence should be addressed.
Abstract
In this article, the determinant of tridiagonal Toeplitz matrices is determined recursively and explicitly. The method used is descriptive exploratory the journal written by Fitri Aryani. The inverse of tridiagonal Toeplitz matrices is calculated using the adjoint method, but the determinant and adjoint of the matrices are based on the recursive calculation of the determinant. With this approach, the formulas for the determinant and inverse of tridiagonal Toeplitz matrices can be formulated clearly and efficiently. This study demonstrates the effectiveness of the method used in simplifying computations and provides an algorithm for the formulation.
Keywords: Tridiagonal toeplitz matrix, determinant, inverse, recursive, explicit