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arXiv · 2411.11889

Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices

Milena Veneva
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Abstract

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.

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Milena Veneva. 2024-11-06. Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices. https://doi.org/10.22363/2658-4670-2025-33-1-46-56

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