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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11889 |
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| _version_ | 1866913151386124288 |
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| author | Veneva, Milena |
| author_facet | Veneva, Milena |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11889 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices Veneva, Milena Symbolic Computation 65F50, 65K05, 65Y20 G.1.3 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. |
| title | Symbolic Algorithm for Solving SLAEs with Multi-Diagonal Coefficient Matrices |
| topic | Symbolic Computation 65F50, 65K05, 65Y20 G.1.3 |
| url | https://arxiv.org/abs/2411.11889 |