The article discusses an efficient numerical algorithm for solving a system of linear algebraic equations (SLAE) with a tridiagonal matrix — the Thomas algorithm (also known as the tridiagonal matrix algorithm, TDMA). The step-by-step description of the algorithm, its advantages, limitations, and applications are provided. The implementation of the developed software product based on this algorithm is also presented. The article is enriched with examples of practical applications.
| Mualliflar | Qazimbetova, M.M., Nurullaev, J.A. |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2025-08-15 |
| Son | 5-1 |
| Betlar | 10-12 |
| Til | kaa |
uch diagonalli matritsa, haydash usuli (Tomas algoritmi), Gauss usuli, Yakobi matritsa, ayirmali matritsa, bas diagonal, haydash koeffitsientlari, simmetriyali matritsa, rekkurent nisbatlar, ustunlik shartlari, chegaraviy shartlar, трёхдиагональная матрица, метод прогонки (алгоритм Томаса), метод Гаусса, матрица Якоби, разностная матрица, главная диагональ, коэффициенты прогонки, симметричная матрица, рекуррентные соотношения, условие диагонального преобладания, граничные условия, tridiagonal matrix, Thomas algorithm (TDMA), Gauss method, Jacobi matrix, difference matrix, main diagonal, Thomas coefficients, symmetric matrix, recurrence relations, diagonal dominance condition, boundary conditions
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