Computational Aspects of Determinant and Inverse of Tridiagonal Toeplitz Matrix

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.

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Publication Details

Journal
Journal of Advances in Mathematics and Computer Science
Published
2024-12-03
DOI
https://doi.org/10.9734/jamcs/2024/v39i121951
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

Computational Aspects of Determinant and Inverse of Tridiagonal Toeplitz Matrix

Sugi Guritman, Jaharuddin Jaharuddin, Yohanes Mario Defianus Beti
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Journal of Advances in Mathematics and Computer Science
Advanced Mathematical Theories and Applications
article

Computational Aspects of Determinant and Inverse of Tridiagonal Toeplitz Matrix

Sugi Guritman, Jaharuddin Jaharuddin, Yohanes Mario Defianus Beti
article en

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.

Journal of Advances in Mathematics and Computer ScienceVol. 39(12)
IPB University (ID)
Openalex Percentile: Top 79%
Advanced Mathematical Theories and Applications
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