Generalized Chebyshev Acceleration
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908337740709888 |
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| author | Gökgöz, Nurgül |
| author_facet | Gökgöz, Nurgül |
| contents | We use generalized Chebyshev polynomials, associated with the root system $A_2$, to provide a new semi-iterative method for accelerating simple iterative methods for solving linear systems. We apply this semi-iterative method to the Jacobi method, and give an example. There are certain restrictions but the resulting acceleration is rather high. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Chebyshev Acceleration Gökgöz, Nurgül Numerical Analysis Dynamical Systems We use generalized Chebyshev polynomials, associated with the root system $A_2$, to provide a new semi-iterative method for accelerating simple iterative methods for solving linear systems. We apply this semi-iterative method to the Jacobi method, and give an example. There are certain restrictions but the resulting acceleration is rather high. |
| title | Generalized Chebyshev Acceleration |
| topic | Numerical Analysis Dynamical Systems |
| url | https://arxiv.org/abs/2504.18465 |