A New Matrix Decomposition Method for Inverting the ComradeMatrix

Authors

  • B Talibi Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco Author
  • A Aiat Hadj Regional Center of the Trades of Education and Training (CRMEF)-Tangier, Avenue My Abdelaziz, Souani, BP: 3117, Tangier. Morocco Author
  • D Sarsri Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco Author

DOI:

https://doi.org/10.47363/JMCA/2025(4)200

Keywords:

Comrade Matrices, Decomposition, LT Factorization, Matrix Inverse

Abstract

Herein, we decompose the Comrade matrix based on its lower triangular L and triangular T factorization to calculate its inverse. We then show the proposed method is efficient with two algorithms.

Author Biographies

  • B Talibi, Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco

    Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco

  • A Aiat Hadj, 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

  • D Sarsri, Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco

    Laboratory of Innovative Technologies, National School of Applied Sciences of Tangier, Abdelmalek Essaâdi University, B. P. 1818, Tangier, Morocco

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Published

2025-02-04

Issue

Vol. 4 No. 1 (2025): Volume 4 Issue 1

Section

Articles