UC Factorization and Inversion of Tridiagonal Matrices

Tridiagonal matrix inversion using a UC factorization decomposition of classic tridiagonal matrices is presented in this paper. Further we provide two algorithms to measure the runtimes of both algorithms and how to validate the effectiveness of our decomposition method. All of this serves as foundation for a couple of points of interest.

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Publication Details

Published
2025-02-03
DOI
https://doi.org/10.47363/jpma/2025(3)126
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

UC Factorization and Inversion of Tridiagonal Matrices

Boutaina Talibi
Matrix Theory and Algorithms
article

UC Factorization and Inversion of Tridiagonal Matrices

Boutaina Talibi
article en

Abstract

Tridiagonal matrix inversion using a UC factorization decomposition of classic tridiagonal matrices is presented in this paper. Further we provide two algorithms to measure the runtimes of both algorithms and how to validate the effectiveness of our decomposition method. All of this serves as foundation for a couple of points of interest.

Vol. 3(1)
Openalex Percentile: Top 97%
Matrix Theory and Algorithms
DOISourceOpenAlex
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UC Factorization and Inversion of Tridiagonal Matrices — Boutaina Talibi · (2025) | TGRS Research Map | TGRS