UC Factorization and Inversion of Tridiagonal Matrices

Authors

  • Talibi B Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco. Author
  • Aiat Hadj A Regional Center of the Trades of Education and Training (CRMEF)-Tangier, Avenue My Abdelaziz, Souani, BP: 3117, Tangier, Morocco. Author
  • Sarsri D Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco. Author

DOI:

https://doi.org/10.47363/JPMA/2025(3)126

Keywords:

Tridiagonal Matrices, Decomposition, UC Factorization, Matrix Inverse

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.

Author Biographies

  • Talibi B, Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco.

    Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco.

  • Aiat Hadj A, Regional Center of the Trades of Education and Training (CRMEF)-Tangier, Avenue My Abdelaziz, Souani, BP: 3117, Tangier, Morocco.

    Regional Center of the Trades of Education and Training (CRMEF)-Tangier, Avenue My Abdelaziz, Souani, BP: 3117, Tangier, Morocco.

  • Sarsri D, Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco.

    Department of Industrial Engineering and Logistics, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, Morocco.

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Published

2025-01-17

Issue

Vol. 3 No. 1 (2025): Volume 3 Issue 1

Section

Articles