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Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices

Symbolic Computation 2026-05-22 v1

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.

Keywords

Cite

@article{arxiv.2411.11889,
  title  = {Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices},
  author = {Milena Veneva},
  journal= {arXiv preprint arXiv:2411.11889},
  year   = {2026}
}

Comments

8 pages, 1 table. arXiv admin note: text overlap with arXiv:1812.06720