Электронный каталог

Статья

Veneva, M.
Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices / M.Veneva. – Text : electronic // Discrete and Continuous Models and Applied Computational Science. – 2025. – Vol. 33, No.1. – P. 46-56. – URL: https://journals.rudn.ru/miph/article/view/44732/24876, https://doi.org/10.22363/2658-4670-2025-33-1-46-56. – Bibliogr.: 20.

Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear algebra where finding the solution of such a system of linear algebraic equations is considered to be one of the most important problems. This paper presents a generalised symbolic algorithm for solving systems of linear algebraic equations with multi-diagonal coefficient matrices. The algorithm is given in a pseudocode. A theorem which gives the condition for correctness of the algorithm is formulated and proven. Formula for the complexity of the multi-diagonal numerical algorithm is obtained.



ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = Ц 840 д - Аналитические вычисления на ЭВМ$
Бюллетени = 35/025